<PAGE> PAGE 1
000 B000000 06/30/98
000 C000000 0000763852
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 3.0.a
000 J000000 A
001 A000000 THE ONE GROUP
001 B000000 811-2636
001 C000000 6144708000
002 A000000 3435 STELZER ROAD
002 B000000 COLUMBUS
002 C000000 OH
002 D010000 43219
003 000000 N
004 000000 N
005 000000 N
006 000000 N
007 A000000 Y
007 B000000 40
007 C010100 1
007 C020100 THE ONE GROUP PRIME MONEY MARKET FUND
007 C030100 N
007 C010200 2
007 C020200 THE ONE GROUP US TREASURY SECURITIES MM FUND
007 C030200 N
007 C010300 3
007 C020300 THE ONE GROUP MUNICIPAL MONEY MARKET FUND
007 C030300 N
007 C010400 4
007 C020400 THE ONE GROUP INCOME EQUITY FUND
007 C030400 N
007 C010500 5
007 C020500 THE ONE GROUP INCOME BOND FUND
007 C030500 N
007 C010600 6
007 C020600 THE ONE GROUP INTERMEDIATE TAX-FREE BOND FUND
007 C030600 N
007 C010700 7
007 C020700 THE ONE GROUP DISCIPLINED VALUE FUND
007 C030700 N
007 C010800 8
007 C020800 THE ONE GROUP GROWTH OPPORTUNITIES FUND
007 C030800 N
007 C010900 9
007 C011000 10
007 C021000 THE ONE GROUP LIMITED VOLATILITY BOND FUND
007 C031000 N
007 C011100 11
<PAGE> PAGE 2
007 C021100 THE ONE GROUP EQUITY INDEX FUND
007 C031100 N
007 C011200 12
007 C021200 THE ONE GROUP LARGE COMPANY VALUE FUND
007 C031200 N
007 C011300 13
007 C021300 THE ONE GROUP OHIO MUNICIPAL BOND FUND
007 C031300 N
007 C011400 14
007 C021400 THE ONE GROUP INTERNATIONAL EQUITY INDEX FUND
007 C031400 N
007 C011500 15
007 C021500 THE ONE GROUP TREASURY ONLY MONEY MARKET FUND
007 C031500 N
007 C011600 16
007 C021600 THE ONE GROUP GOVERNMENT MONEY MARKET FUND
007 C031600 N
007 C011700 17
007 C021700 THE ONE GROUP ASSET ALLOCATION FUND
007 C031700 N
007 C011800 18
007 C021800 THE ONE GROUP GOVERNMENT BOND FUND
007 C031800 N
007 C011900 19
007 C021900 THE ONE GROUP ULTRA SHORT-TERM INCOME FUND
007 C031900 N
007 C012000 20
007 C022000 THE ONE GROUP MUNICIPAL INCOME BOND FUND
007 C032000 N
007 C012100 21
007 C022100 THE ONE GROUP OHIO MUNICIPAL MONEY MARKT FUND
007 C032100 N
007 C012200 22
007 C022200 THE ONE GROUP INTERMEDIATE BOND FUND
007 C032200 N
007 C012300 23
007 C022300 THE ONE GROUP LARGE COMPANY GROWTH FUND
007 C032300 N
007 C012400 24
007 C022400 THE ONE GROUP KENTUCKY MUNICIPAL BOND FUND
007 C032400 N
007 C012500 25
007 C022500 THE ONE GROUP LOUISIANA MUNICIPAL BOND FUND
007 C032500 N
007 C012600 26
007 C022600 THE ONE GROUP SMALL CAPITALIZATION FUND
007 C032600 N
007 C012700 27
007 C022700 THE ONE GROUP VALUE GROWTH FUND
007 C032700 N
007 C012800 28
<PAGE> PAGE 3
007 C022800 THE ONE GROUP TEXAS TAX-FREE BOND FUND
007 C032800 N
007 C012900 29
007 C022900 THE ONE GROUP WEST VIRGINIA MUNICIPAL BOND FU
007 C032900 N
007 C013000 30
007 C023000 THE ONE GROUP ARIZONA MUNICIPAL BOND FUND
007 C033000 N
007 C013100 31
007 C023100 THE ONE GROUP TREASURY MONEY MARKET FUND
007 C033100 N
007 C013200 32
007 C023200 THE ONE GROUP TAX EXEMPT MONEY MARKET FUND
007 C033200 N
007 C013300 33
007 C023300 THE ONE GROUP INSTITUTIONAL PRIME MONEY MARKE
007 C033300 N
007 C013400 34
007 C023400 THE ONE GROUP INCOME FUND
007 C033400 N
007 C013500 35
007 C023500 THE ONE GROUP INVESTOR GROWTH FUND
007 C033500 N
007 C013600 36
007 C023600 THE ONE GROUP INVESTOR GROWTH & INCOME FUND
007 C033600 N
007 C013700 37
007 C023700 THE ONE GROUP INVESTOR AGGRESSIVE GROWTH FUN
007 C033700 N
007 C013800 38
007 C023800 THE ONE GROUP INVESTOR FIXED INCOME FUND
007 C033800 N
007 C013900 39
007 C023900 THE ONE GROUP INVESTOR CONSERVATIVE GROWTH FU
007 C033900 N
007 C014000 40
007 C024000 THE ONE GROUP INVESTOR INVESTOR BALANCED FUND
007 C034000 N
007 C014100 41
007 C024100 THE ONE GROUP TREASURY AND AGENCY FUND
007 C034100 N
007 C014200 42
007 C014300 43
007 C014400 44
007 C014500 45
007 C014600 46
007 C014700 47
007 C014800 48
007 C014900 49
007 C015000 50
007 C015100 51
<PAGE> PAGE 4
007 C015200 52
007 C015300 53
007 C015400 54
007 C015500 55
007 C015600 56
007 C015700 57
007 C015800 58
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007 C017200 72
007 C017300 73
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007 C017800 78
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007 C018400 84
007 C018500 85
007 C018600 86
007 C018700 87
007 C018800 88
007 C018900 89
007 C019000 90
010 A00AA01 THE ONE GROUP SERVICES COMPANY
010 C01AA01 COLUMBUS
010 C02AA01 OH
010 C03AA01 43219
011 A00AA01 THE ONE GROUP SERVICES COMPANY
011 B00AA01 8-0000
011 C01AA01 COLUMBUS
011 C02AA01 OH
011 C03AA01 43219
012 A00AA01 STATE STREET BANK AND TRUST COMPANY
012 B00AA01 84-0000000
012 C01AA01 BOSTON
<PAGE> PAGE 5
012 C02AA01 MA
012 C03AA01 02266
012 C04AA01 8500
013 A00AA01 PRICEWATERHOUSECOOPERS, LLP
013 B01AA01 COLUMBUS
013 B02AA01 OH
013 B03AA01 43215
014 A00AA01 BANC ONE SECURITIES CORP.
014 B00AA01 8-00000000
014 A00AA02 BANC ONE CAPITAL CORP.
014 B00AA02 8-00000000
015 A00AA01 STATE STREET BANK AND TRUST CO.
015 B00AA01 C
015 C01AA01 BOSTON
015 C02AA01 MA
015 C03AA01 02266
015 C04AA01 8500
015 E01AA01 X
015 A00AA02 BANK ONE TRUST COMPANY, N.A.
015 B00AA02 S
015 C01AA02 COLUMBUS
015 C02AA02 OH
015 C03AA02 43271
015 C04AA02 0211
015 E03AA02 X
018 00AA00 Y
019 A00AA00 N
019 B00AA00 0
020 A000001 SMITH BARNEY, INC.
020 B000001 13-1912900
020 C000001 1230
020 A000002 PAINE WEBBER, INC.
020 B000002 13-2638166
020 C000002 945
020 A000003 DONALDSON, LUFKIN & JENRETTE
020 B000003 13-2741729
020 C000003 707
020 A000004 MORGAN STANLEY & CO., INC.
020 B000004 13-2655998
020 C000004 532
020 A000005 BERNSTEIN & CO., INC.
020 B000005 13-2625874
020 C000005 437
020 A000006 ERNST & COMPANY
020 B000006 13-6659846
020 C000006 401
020 A000007 BLEICHRODER
020 C000007 401
020 A000008 MERRILL LYNCH & CO., INC.
020 B000008 13-5674085
020 C000008 398
<PAGE> PAGE 6
020 A000009 INSTINET CORP.
020 B000009 13-3443395
020 C000009 373
020 A000010 DEUTSCHE BANK SECURITIES CORP.
020 C000010 372
021 000000 9672
022 A000001 BZW CANADA LIMITED
022 C000001 98140373
022 D000001 1999384
022 A000002 PRUDENTIAL SECURITIES, INC.
022 B000002 22-2347336
022 C000002 88766415
022 D000002 359646
022 A000003 BARCLAYS DE ZOETTE WEDD
022 C000003 85901837
022 D000003 148277
022 A000004 GOLDMAN SACHS & CO.
022 B000004 13-5108880
022 C000004 76689896
022 D000004 348752
022 A000005 HSBC SECURITIES, INC.
022 B000005 13-2650272
022 C000005 63970685
022 D000005 108765
022 A000006 J.P. MORGAN SECURITIES, INC.
022 B000006 13-3224016
022 C000006 46698325
022 D000006 731750
022 A000007 LEHMAN BROTHERS
022 B000007 13-2518466
022 C000007 33185046
022 D000007 658455
022 A000008 DONALDSON, LUFKIN & JENRETTE
022 B000008 13-2741729
022 C000008 18752167
022 D000008 394775
022 A000009 SOCIETE GENERALE
022 B000009 13-1976032
022 C000009 13018025
022 D000009 3584
022 A000010 MORGAN STANLEY & CO., INC.
022 B000010 13-2655998
022 C000010 9446659
022 D000010 283557
023 C000000 574876680
023 D000000 10296522
026 A000000 N
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026 C000000 N
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<PAGE> PAGE 7
026 F000000 N
026 G010000 N
026 G020000 N
026 H000000 N
027 000000 Y
037 00AA00 N
038 00AA00 0
039 00AA00 N
040 00AA00 Y
041 00AA00 Y
049 00AA00 N
050 00AA00 N
051 00AA00 N
052 00AA00 N
053 A00AA00 Y
053 B00AA00 Y
053 C00AA00 N
054 A00AA00 N
054 B00AA00 N
054 C00AA00 N
054 D00AA00 N
054 E00AA00 N
054 F00AA00 N
054 G00AA00 N
054 H00AA00 N
054 I00AA00 N
054 J00AA00 N
054 K00AA00 N
054 L00AA00 N
054 M00AA00 N
054 N00AA00 N
054 O00AA00 N
077 A000000 Y
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077 D000000 N
077 E000000 N
077 F000000 N
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077 H000000 N
077 I000000 N
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<PAGE> PAGE 8
078 000000 N
080 A00AA00 CHUBB GROUP OF INSURANCE COMPANIES
080 C00AA00 2500
081 A00AA00 N
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008 A000101 BANC ONE INVESTMENT ADVISORS CORP.
008 B000101 A
008 C000101 801-0000
008 D010101 COLUMBUS
008 D020101 OH
008 D030101 43240
024 000100 Y
025 A000101 SOCIETE GENERALE
025 B000101 13-1976032
025 C000101 D
025 D000101 125992
025 A000102 PRUDENTIAL SECURITIES, INC.
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025 C000102 D
025 D000102 102434
025 A000103 LEHMAN BROTHERS
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<PAGE> PAGE 9
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<PAGE> PAGE 10
048 B020100 0.000
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048 I020100 0.000
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048 J020100 0.000
048 K010100 0
048 K020100 0.000
055 A000100 N
055 B000100 N
056 000100 Y
057 000100 N
058 A000100 N
059 000100 Y
060 A000100 Y
060 B000100 Y
061 000100 1000
062 A000100 Y
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064 A000100 Y
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066 A000100 N
<PAGE> PAGE 11
067 000100 N
068 A000100 N
068 B000100 N
069 000100 N
070 A010100 Y
070 A020100 Y
070 B010100 N
070 B020100 N
070 C010100 N
070 C020100 N
070 D010100 N
070 D020100 N
070 E010100 N
070 E020100 N
070 F010100 N
070 F020100 N
070 G010100 N
070 G020100 N
070 H010100 N
070 H020100 N
070 I010100 N
070 I020100 N
070 J010100 Y
070 J020100 Y
070 K010100 Y
070 K020100 N
070 L010100 Y
070 L020100 Y
070 M010100 N
070 M020100 N
070 N010100 Y
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070 O010100 Y
070 O020100 Y
070 P010100 Y
070 P020100 N
070 Q010100 N
070 Q020100 N
070 R010100 N
070 R020100 N
071 A000100 0
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<PAGE> PAGE 12
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<PAGE> PAGE 13
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008 A000201 BANC ONE INVESTMENT ADVISORS CORP.
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008 D010201 COLUMBUS
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024 000200 Y
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<PAGE> PAGE 14
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<PAGE> PAGE 15
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<PAGE> PAGE 16
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<PAGE> PAGE 17
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<PAGE> PAGE 18
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<PAGE> PAGE 19
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<PAGE> PAGE 20
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<PAGE> PAGE 21
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<PAGE> PAGE 22
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<PAGE> PAGE 23
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<PAGE> PAGE 24
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<PAGE> PAGE 25
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<PAGE> PAGE 26
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<PAGE> PAGE 27
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<PAGE> PAGE 28
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<PAGE> PAGE 29
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<PAGE> PAGE 30
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<PAGE> PAGE 31
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<PAGE> PAGE 32
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<PAGE> PAGE 33
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<PAGE> PAGE 34
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<PAGE> PAGE 35
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<PAGE> PAGE 36
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<PAGE> PAGE 37
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<PAGE> PAGE 38
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<PAGE> PAGE 39
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<PAGE> PAGE 40
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<PAGE> PAGE 41
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<PAGE> PAGE 42
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<PAGE> PAGE 43
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<PAGE> PAGE 44
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<PAGE> PAGE 45
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<PAGE> PAGE 46
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<PAGE> PAGE 47
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<PAGE> PAGE 48
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<PAGE> PAGE 49
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<PAGE> PAGE 50
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<PAGE> PAGE 51
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<PAGE> PAGE 52
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<PAGE> PAGE 53
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<PAGE> PAGE 54
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<PAGE> PAGE 55
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<PAGE> PAGE 56
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<PAGE> PAGE 57
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<PAGE> PAGE 58
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031 A001200 51
031 B001200 0
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<PAGE> PAGE 59
033 001200 0
034 001200 Y
035 001200 282
036 A001200 N
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042 D001200 100
042 E001200 0
042 F001200 0
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045 001200 Y
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047 001200 Y
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048 I021200 0.000
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055 A001200 N
055 B001200 N
056 001200 Y
057 001200 N
058 A001200 N
059 001200 Y
060 A001200 Y
060 B001200 Y
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062 A001200 N
<PAGE> PAGE 60
062 B001200 0.0
062 C001200 0.0
062 D001200 0.0
062 E001200 0.0
062 F001200 0.0
062 G001200 0.0
062 H001200 0.0
062 I001200 0.0
062 J001200 0.0
062 K001200 0.0
062 L001200 0.0
062 M001200 0.0
062 N001200 0.0
062 O001200 0.0
062 P001200 0.0
062 Q001200 0.0
062 R001200 0.0
063 A001200 0
063 B001200 0.0
066 A001200 Y
066 B001200 N
066 C001200 Y
066 D001200 N
066 E001200 N
066 F001200 N
066 G001200 N
067 001200 N
068 A001200 N
068 B001200 N
069 001200 N
070 A011200 Y
070 A021200 Y
070 B011200 Y
070 B021200 Y
070 C011200 N
070 C021200 N
070 D011200 Y
070 D021200 N
070 E011200 N
070 E021200 N
070 F011200 Y
070 F021200 N
070 G011200 Y
070 G021200 N
070 H011200 Y
070 H021200 N
070 I011200 N
070 I021200 N
070 J011200 Y
070 J021200 N
070 K011200 Y
<PAGE> PAGE 61
070 K021200 N
070 L011200 Y
070 L021200 Y
070 M011200 N
070 M021200 N
070 N011200 Y
070 N021200 Y
070 O011200 Y
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070 P011200 Y
070 P021200 N
070 Q011200 N
070 Q021200 N
070 R011200 N
070 R021200 N
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072 Z001200 10029
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<PAGE> PAGE 62
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074 O001200 2598
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008 A001301 BANC ONE INVESTMENT ADVISORS CORP.
008 B001301 A
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<PAGE> PAGE 63
028 B031300 0
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047 001300 Y
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<PAGE> PAGE 64
048 B011300 0
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048 I011300 0
048 I021300 0.000
048 J011300 0
048 J021300 0.000
048 K011300 0
048 K021300 0.000
055 A001300 N
055 B001300 N
056 001300 Y
057 001300 N
058 A001300 N
059 001300 Y
060 A001300 N
060 B001300 N
061 001300 1000
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062 D001300 0.0
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062 Q001300 0.0
062 R001300 0.5
063 A001300 0
063 B001300 7.1
064 A001300 Y
064 B001300 N
<PAGE> PAGE 65
066 A001300 N
067 001300 N
068 A001300 N
068 B001300 N
069 001300 N
070 A011300 Y
070 A021300 N
070 B011300 N
070 B021300 N
070 C011300 Y
070 C021300 N
070 D011300 N
070 D021300 N
070 E011300 Y
070 E021300 N
070 F011300 N
070 F021300 N
070 G011300 Y
070 G021300 N
070 H011300 N
070 H021300 N
070 I011300 N
070 I021300 N
070 J011300 N
070 J021300 N
070 K011300 Y
070 K021300 Y
070 L011300 N
070 L021300 N
070 M011300 N
070 M021300 N
070 N011300 Y
070 N021300 N
070 O011300 Y
070 O021300 N
070 P011300 Y
070 P021300 N
070 Q011300 N
070 Q021300 N
070 R011300 N
070 R021300 N
071 A001300 47866
071 B001300 18285
071 C001300 174382
071 D001300 10
072 A001300 12
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<PAGE> PAGE 66
072 G001300 290
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072 J001300 27
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072 V001300 0
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072 X001300 1726
072 Y001300 552
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074 M001300 2
074 N001300 195301
074 O001300 1022
074 P001300 99
074 Q001300 0
074 R011300 0
074 R021300 0
074 R031300 0
<PAGE> PAGE 67
074 R041300 855
074 S001300 0
074 T001300 193325
074 U011300 13533
074 U021300 3894
074 V011300 11.08
074 V021300 11.11
074 W001300 0.0000
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076 001300 0.00
008 A001401 BANC ONE INVESTMENT ADVISORS CORP.
008 B001401 A
008 C001401 801-0000
008 D011401 COLUMBUS
008 D021401 OH
008 D031401 43240
008 A001402 INDEPENDENCE INTERNATIONAL ASSOCIATES, INC.
008 B001402 S
008 C001402 801-0000
008 D011402 BOSTON
008 D021402 MA
008 D031402 02109
024 001400 N
025 A001401 LEHMAN BROTHERS
025 B001401 13-2518466
025 C001401 D
025 D001401 2361
025 A001402 SOCIETE GENERALE
025 B001402 13-1976032
025 C001402 E
025 D001402 2219
025 A001403 BARCLAYS BANK PLC
025 C001403 E
025 D001403 2151
025 A001404 HSBC SECURITIES, INC.
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025 C001404 E
025 D001404 1917
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<PAGE> PAGE 68
028 B031400 0
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028 G021400 -1437
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029 001400 Y
030 A001400 46
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031 B001400 0
032 001400 1
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034 001400 Y
035 001400 150
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042 A001400 0
042 B001400 0
042 C001400 0
042 D001400 100
042 E001400 0
042 F001400 0
042 G001400 0
042 H001400 0
043 001400 156
044 001400 0
045 001400 Y
046 001400 N
047 001400 Y
048 001400 0.550
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<PAGE> PAGE 69
048 B011400 0
048 B021400 0.000
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048 C021400 0.000
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048 I021400 0.000
048 J011400 0
048 J021400 0.000
048 K011400 0
048 K021400 0.000
055 A001400 N
055 B001400 N
056 001400 Y
057 001400 N
058 A001400 N
059 001400 Y
060 A001400 Y
060 B001400 Y
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066 A001400 Y
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<PAGE> PAGE 70
066 C001400 N
066 D001400 N
066 E001400 Y
066 F001400 N
066 G001400 N
067 001400 N
068 A001400 N
068 B001400 Y
069 001400 Y
070 A011400 Y
070 A021400 Y
070 B011400 Y
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070 C011400 N
070 C021400 N
070 D011400 Y
070 D021400 N
070 E011400 N
070 E021400 N
070 F011400 Y
070 F021400 Y
070 G011400 Y
070 G021400 N
070 H011400 Y
070 H021400 N
070 I011400 N
070 I021400 N
070 J011400 N
070 J021400 N
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070 K021400 Y
070 L011400 Y
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070 M011400 Y
070 M021400 Y
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<PAGE> PAGE 71
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<PAGE> PAGE 72
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008 A001501 BANC ONE INVESTMENT ADVISORS CORP.
008 B001501 A
008 C001501 801-0000
008 D011501 COLUMBUS
008 D021501 OH
008 D031501 43240
024 001500 N
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<PAGE> PAGE 73
028 G041500 1180573
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056 001500 Y
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<PAGE> PAGE 74
060 A001500 Y
060 B001500 Y
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067 001500 N
068 A001500 N
068 B001500 N
069 001500 N
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070 A021500 N
070 B011500 N
070 B021500 N
070 C011500 N
070 C021500 N
070 D011500 N
070 D021500 N
070 E011500 N
070 E021500 N
070 F011500 N
070 F021500 N
070 G011500 N
070 G021500 N
070 H011500 N
070 H021500 N
070 I011500 N
070 I021500 N
070 J011500 N
070 J021500 N
070 K011500 N
<PAGE> PAGE 75
070 K021500 N
070 L011500 N
070 L021500 N
070 M011500 N
070 M021500 N
070 N011500 Y
070 N021500 Y
070 O011500 Y
070 O021500 Y
070 P011500 Y
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070 R011500 N
070 R021500 N
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<PAGE> PAGE 76
072EE001500 0
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<PAGE> PAGE 77
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<PAGE> PAGE 78
029 001600 N
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<PAGE> PAGE 79
061 001600 1000000
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<PAGE> PAGE 80
070 L021600 N
070 M011600 N
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<PAGE> PAGE 81
073 A021600 0.0000
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<PAGE> PAGE 82
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<PAGE> PAGE 83
031 A001700 587
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<PAGE> PAGE 84
060 B001700 Y
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<PAGE> PAGE 85
070 J011700 Y
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<PAGE> PAGE 86
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<PAGE> PAGE 87
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<PAGE> PAGE 88
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<PAGE> PAGE 89
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<PAGE> PAGE 90
070 Q011800 N
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<PAGE> PAGE 91
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008 A001901 BANC ONE INVESTMENT ADVISORS CORP.
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<PAGE> PAGE 92
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<PAGE> PAGE 93
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<PAGE> PAGE 94
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<PAGE> PAGE 95
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<PAGE> PAGE 96
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<PAGE> PAGE 97
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<PAGE> PAGE 98
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<PAGE> PAGE 99
070 H012000 N
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070 J022000 N
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070 K022000 Y
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070 M022000 N
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<PAGE> PAGE 100
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008 B002101 A
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<PAGE> PAGE 101
024 002100 N
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<PAGE> PAGE 102
048 A012100 0
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<PAGE> PAGE 103
064 A002100 Y
064 B002100 N
066 A002100 N
067 002100 N
068 A002100 N
068 B002100 N
069 002100 N
070 A012100 Y
070 A022100 N
070 B012100 N
070 B022100 N
070 C012100 N
070 C022100 N
070 D012100 N
070 D022100 N
070 E012100 N
070 E022100 N
070 F012100 N
070 F022100 N
070 G012100 N
070 G022100 N
070 H012100 N
070 H022100 N
070 I012100 N
070 I022100 N
070 J012100 Y
070 J022100 Y
070 K012100 Y
070 K022100 Y
070 L012100 N
070 L022100 N
070 M012100 N
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<PAGE> PAGE 104
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<PAGE> PAGE 105
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<PAGE> PAGE 106
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<PAGE> PAGE 107
048 B012200 0
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<PAGE> PAGE 108
066 A002200 N
067 002200 N
068 A002200 N
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069 002200 N
070 A012200 Y
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070 B012200 N
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070 C012200 Y
070 C022200 N
070 D012200 N
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070 E012200 Y
070 E022200 N
070 F012200 N
070 F022200 N
070 G012200 Y
070 G022200 N
070 H012200 N
070 H022200 N
070 I012200 N
070 I022200 N
070 J012200 Y
070 J022200 Y
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070 K022200 N
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070 L022200 Y
070 M012200 N
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070 N012200 Y
070 N022200 Y
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070 P022200 N
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<PAGE> PAGE 109
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<PAGE> PAGE 110
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008 A002301 BANC ONE INVESTMENT ADVISORS CORP.
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<PAGE> PAGE 111
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<PAGE> PAGE 112
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<PAGE> PAGE 113
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<PAGE> PAGE 114
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<PAGE> PAGE 115
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<PAGE> PAGE 116
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<PAGE> PAGE 117
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<PAGE> PAGE 118
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<PAGE> PAGE 119
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<PAGE> PAGE 120
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<PAGE> PAGE 121
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<PAGE> PAGE 122
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<PAGE> PAGE 123
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<PAGE> PAGE 124
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<PAGE> PAGE 125
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<PAGE> PAGE 126
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<PAGE> PAGE 127
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<PAGE> PAGE 128
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<PAGE> PAGE 129
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<PAGE> PAGE 130
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<PAGE> PAGE 131
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<PAGE> PAGE 132
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<PAGE> PAGE 133
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<PAGE> PAGE 134
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<PAGE> PAGE 135
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<PAGE> PAGE 136
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<PAGE> PAGE 137
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<PAGE> PAGE 138
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<PAGE> PAGE 139
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<PAGE> PAGE 140
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008 A003001 BANC ONE INVESTMENT ADVISORS CORP
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<PAGE> PAGE 141
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<PAGE> PAGE 142
055 B003000 N
056 003000 Y
057 003000 N
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066 A003000 N
067 003000 N
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<PAGE> PAGE 143
070 I013000 N
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<PAGE> PAGE 144
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<PAGE> PAGE 145
062 I003100 0.0
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<PAGE> PAGE 146
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<PAGE> PAGE 147
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<PAGE> PAGE 148
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<PAGE> PAGE 149
072 C003400 0
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008 A003501 BANC ONE INVESTMENT ADVISORS CORP.
008 B003501 A
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008 D013501 COLUMBUS
008 D023501 OH
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024 003500 N
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<PAGE> PAGE 150
028 C013500 43271
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<PAGE> PAGE 151
048 C013500 0
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055 A003500 N
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056 003500 Y
057 003500 N
058 A003500 N
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063 A003500 0
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066 A003500 Y
066 B003500 N
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066 D003500 N
<PAGE> PAGE 152
066 E003500 N
066 F003500 N
066 G003500 N
067 003500 Y
068 A003500 N
068 B003500 N
069 003500 N
070 A013500 Y
070 A023500 N
070 B013500 N
070 B023500 N
070 C013500 N
070 C023500 N
070 D013500 N
070 D023500 N
070 E013500 N
070 E023500 N
070 F013500 N
070 F023500 N
070 G013500 N
070 G023500 N
070 H013500 N
070 H023500 N
070 I013500 N
070 I023500 N
070 J013500 Y
070 J023500 N
070 K013500 Y
070 K023500 Y
070 L013500 N
070 L023500 N
070 M013500 N
070 M023500 N
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070 N023500 N
070 O013500 Y
070 O023500 N
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070 Q023500 N
070 R013500 N
070 R023500 N
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071 B003500 4603
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<PAGE> PAGE 153
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<PAGE> PAGE 154
074 R023500 0
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008 A003601 BANC ONE INVESTMENT ADVISORS CORP.
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<PAGE> PAGE 155
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<PAGE> PAGE 156
057 003600 N
058 A003600 N
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060 A003600 Y
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066 F003600 N
066 G003600 N
067 003600 Y
068 A003600 N
068 B003600 N
069 003600 N
070 A013600 Y
070 A023600 N
070 B013600 N
070 B023600 N
070 C013600 N
070 C023600 N
070 D013600 N
070 D023600 N
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<PAGE> PAGE 157
070 H013600 N
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<PAGE> PAGE 158
072 Z003600 2446
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<PAGE> PAGE 159
062 G003700 0.0
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<PAGE> PAGE 160
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<PAGE> PAGE 161
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<PAGE> PAGE 162
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<PAGE> PAGE 163
058 A003900 N
059 003900 Y
060 A003900 Y
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062 O003900 0.0
062 P003900 0.0
062 Q003900 0.0
062 R003900 0.0
063 A003900 0
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066 A003900 Y
066 B003900 N
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066 D003900 N
066 E003900 Y
066 F003900 N
066 G003900 N
067 003900 Y
068 A003900 N
068 B003900 N
069 003900 N
070 A013900 Y
070 A023900 N
070 B013900 N
070 B023900 N
070 C013900 N
070 C023900 N
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070 D023900 N
070 E013900 N
070 E023900 N
070 F013900 N
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070 G013900 N
070 G023900 N
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<PAGE> PAGE 164
070 H023900 N
070 I013900 N
070 I023900 N
070 J013900 Y
070 J023900 N
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070 L023900 N
070 M013900 N
070 M023900 N
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070 N023900 N
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070 O023900 N
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070 P023900 N
070 Q013900 N
070 Q023900 N
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070 R023900 N
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<PAGE> PAGE 165
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074 U023900 5054
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008 A004001 BANC ONE INVESTMENT ADVISORS CORP.
008 B004001 A
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<PAGE> PAGE 166
028 A014000 8884
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<PAGE> PAGE 167
045 004000 Y
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056 004000 Y
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<PAGE> PAGE 168
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<PAGE> PAGE 169
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<PAGE> PAGE 170
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008 A004101 BANC ONE INVESTMENT ADVISORS CORP
008 B004101 A
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<PAGE> PAGE 171
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<PAGE> PAGE 172
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<PAGE> PAGE 173
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<PAGE> PAGE 174
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SIGNATURE CHRIS SABATO
TITLE ONE GROUP SUPERVISOR
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP PRIME MONEY MARKET FUND
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 043
<NAME> THE ONE GROUP INCOME EQUITY FUND
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<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 044
<NAME> THE ONE GROUP INCOME EQUITY FUND
<MULTIPLIER> 1,000
<S> <C>
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<SHARES-REINVESTED> 1<F1>
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<GROSS-EXPENSE> 10417
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<PER-SHARE-NAV-BEGIN> 21.40<F1>
<PER-SHARE-NII> .06<F1>
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<EXPENSE-RATIO> 1.98<F1>
<AVG-DEBT-OUTSTANDING> 0
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<FN>
<F1>CLASS C
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 051
<NAME> THE ONE GROUP INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 052
<NAME> THE ONE GROUP INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
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<GROSS-ADVISORY-FEES> 5074
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<GROSS-EXPENSE> 7035
<AVERAGE-NET-ASSETS> 14661<F1>
<PER-SHARE-NAV-BEGIN> 9.41<F1>
<PER-SHARE-NII> .62<F1>
<PER-SHARE-GAIN-APPREC> .10<F1>
<PER-SHARE-DIVIDEND> .62<F1>
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 053
<NAME> THE ONE GROUP INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
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<GROSS-EXPENSE> 7035
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<PER-SHARE-NAV-BEGIN> 9.49<F1>
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<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 061
<NAME> THE ONE GROUP INTERMEDIATE TAX-FREE BOND FUND
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<S> <C>
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<F1>FIDUCIARY CLASS
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 062
<NAME> THE ONE GROUP INTERMEDIATE TAX-FREE BOND FUND
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<S> <C>
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 063
<NAME> THE ONE GROUP INTERMEDIATE TAX-FREE BOND FUND
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<S> <C>
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<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 071
<NAME> THE ONE GROUP DISCIPLINED VALUE FUND
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 072
<NAME> THE ONE GROUP DISCIPLINED VALUE FUND
<MULTIPLIER> 1,000
<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
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<SHARES-REINVESTED> 277<F1>
<NET-CHANGE-IN-ASSETS> 87499
<ACCUMULATED-NII-PRIOR> 17
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<PER-SHARE-NII> .10<F1>
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 073
<NAME> THE ONE GROUP DISCIPLINED VALUE FUND
<MULTIPLIER> 1,000
<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
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<SHARES-REINVESTED> 232<F1>
<NET-CHANGE-IN-ASSETS> 87499
<ACCUMULATED-NII-PRIOR> 17
<ACCUMULATED-GAINS-PRIOR> 43452
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<GROSS-EXPENSE> 6533
<AVERAGE-NET-ASSETS> 25396<F1>
<PER-SHARE-NAV-BEGIN> 15.64<F1>
<PER-SHARE-NII> .02<F1>
<PER-SHARE-GAIN-APPREC> 3.98<F1>
<PER-SHARE-DIVIDEND> .01<F1>
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<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 081
<NAME> THE ONE GROUP GROWTH OPPORTUNITIES FUND
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<S> <C>
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<PER-SHARE-NII> (.07)<F1>
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 082
<NAME> THE ONE GROUP GROWTH OPPORTUNITIES FUND
<MULTIPLIER> 1,000
<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
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<ACCUM-APPREC-OR-DEPREC> 210149
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<NUMBER-OF-SHARES-REDEEMED> 940<F1>
<SHARES-REINVESTED> 365<F1>
<NET-CHANGE-IN-ASSETS> 351876
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 24450
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<GROSS-ADVISORY-FEES> 6492
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<GROSS-EXPENSE> 9688
<AVERAGE-NET-ASSETS> 67583<F1>
<PER-SHARE-NAV-BEGIN> 19.37<F1>
<PER-SHARE-NII> (.08)<F1>
<PER-SHARE-GAIN-APPREC> 5.65<F1>
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<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 083
<NAME> THE ONE GROUP GROWTH OPPORTUNITIES FUND
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<S> <C>
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<ACCUM-APPREC-OR-DEPREC> 210149
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<GROSS-EXPENSE> 9688
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<PER-SHARE-NII> (.15)<F1>
<PER-SHARE-GAIN-APPREC> 5.35<F1>
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<FN>
<F1>CLASS B
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 084
<NAME> THE ONE GROUP GROWTH OPPORTUNITIES FUND
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<S> <C>
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<FN>
<F1>CLASS C
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 101
<NAME> THE ONE GROUP LIMITED VOLATILITY BOND FUND
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<S> <C>
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<PER-SHARE-NII> .63<F1>
<PER-SHARE-GAIN-APPREC> .04<F1>
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 102
<NAME> THE ONE GROUP LIMITED VOLATILITY BOND FUND
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<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
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<REALIZED-GAINS-CURRENT> (2526)
<APPREC-INCREASE-CURRENT> 4699
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<SHARES-REINVESTED> 69<F1>
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 103
<NAME> THE ONE GROUP LIMITED VOLATILITY BOND FUND
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<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
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<ACCUM-APPREC-OR-DEPREC> 9400
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<NET-INVESTMENT-INCOME> 35814
<REALIZED-GAINS-CURRENT> (2526)
<APPREC-INCREASE-CURRENT> 4699
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<NUMBER-OF-SHARES-REDEEMED> 111<F1>
<SHARES-REINVESTED> 22<F1>
<NET-CHANGE-IN-ASSETS> 24148
<ACCUMULATED-NII-PRIOR> 0
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<GROSS-EXPENSE> 4975
<AVERAGE-NET-ASSETS> 4845<F1>
<PER-SHARE-NAV-BEGIN> 10.53<F1>
<PER-SHARE-NII> .58<F1>
<PER-SHARE-GAIN-APPREC> .04<F1>
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<PER-SHARE-NAV-END> 10.57<F1>
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<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 111
<NAME> THE ONE GROUP EQUITY INDEX FUND
<MULTIPLIER> 1,000
<S> <C>
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<FISCAL-YEAR-END> JUN-30-1998
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<NUMBER-OF-SHARES-REDEEMED> 5630<F1>
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 112
<NAME> THE ONE GROUP EQUITY INDEX FUND
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<S> <C>
<PERIOD-TYPE> YEAR
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<NUMBER-OF-SHARES-REDEEMED> 1415<F1>
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<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 9167
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 113
<NAME> THE ONE GROUP EQUITY INDEX FUND
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<S> <C>
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<ACCUMULATED-NET-GAINS> 20942
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<AVERAGE-NET-ASSETS> 252732<F1>
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<PER-SHARE-NII> .10<F1>
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<FN>
<F1>CLASS B
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 114
<NAME> THE ONE GROUP EQUITY INDEX FUND
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<S> <C>
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<PER-SHARE-NII> .07<F1>
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<FN>
<F1>CLASS C
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 121
<NAME> THE ONE GROUP LARGE COMPANY VALUE FUND
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<S> <C>
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<ACCUM-APPREC-OR-DEPREC> 195407
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<FN>
<F1>FIDUCIARY CLASS
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 122
<NAME> THE ONE GROUP LARGE COMPANY VALUE FUND
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<FN>
<F1>CLASS A
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 123
<NAME> THE ONE GROUP LARGE COMPANY VALUE FUND
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<S> <C>
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<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 131
<NAME> THE ONE GROUP OHIO MUNICIPAL BOND FUND
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<S> <C>
<PERIOD-TYPE> YEAR
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 132
<NAME> THE ONE GROUP OHIO MUNICIPAL BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
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<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 133
<NAME> THE ONE GROUP OHIO MUNICIPAL BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
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<FN>
<F1>CLASS B
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 141
<NAME> THE ONE GROUP INTERNATIONAL EQUITY INDEX FUND
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<S> <C>
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<FN>
<F1>FIDUCIARY CLASS
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</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 142
<NAME> THE ONE GROUP INTERNATIONAL EQUITY INDEX FUND
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<S> <C>
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<F1>CLASS A
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</TABLE>
<TABLE> <S> <C>
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 143
<NAME> THE ONE GROUP INTERNATIONAL EQUITY INDEX FUND
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<S> <C>
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<FN>
<F1>CLASS B
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</TABLE>
<TABLE> <S> <C>
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP INTERNATIONAL EQUITY INDEX FUND
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<NAME> THE ONE GROUP GOVERNMENT MONEY MARKET FUND
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 171
<NAME> THE ONE GROUP ASSET ALLOCATION FUND
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<TABLE> <S> <C>
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<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NUMBER> 172
<NAME> THE ONE GROUP ASSET ALLOCATION FUND
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP ASSET ALLOCATION FUND
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP GOVERNMENT BOND FUND
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP GOVERNMENT BOND FUND
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<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
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<NAME> THE ONE GROUP GOVERNMENT BOND FUND
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<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 191
<NAME> THE ONE GROUP ULTRA SHORT-TERM INCOME FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 221196
<INVESTMENTS-AT-VALUE> 221968
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<ASSETS-OTHER> 1
<OTHER-ITEMS-ASSETS> 0
<TOTAL-ASSETS> 223663
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<SENIOR-LONG-TERM-DEBT> 0
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<TOTAL-LIABILITIES> 6252
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 221218
<SHARES-COMMON-STOCK> 19053<F1>
<SHARES-COMMON-PRIOR> 11588<F1>
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 411
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<OVERDISTRIBUTION-GAINS> 4124
<ACCUM-APPREC-OR-DEPREC> 728
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<INTEREST-INCOME> 12689
<OTHER-INCOME> 0
<EXPENSES-NET> 718
<NET-INVESTMENT-INCOME> 11971
<REALIZED-GAINS-CURRENT> (446)
<APPREC-INCREASE-CURRENT> 200
<NET-CHANGE-FROM-OPS> 11725
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 9591<F1>
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<NUMBER-OF-SHARES-SOLD> 18849<F1>
<NUMBER-OF-SHARES-REDEEMED> 11387<F1>
<SHARES-REINVESTED> 3<F1>
<NET-CHANGE-IN-ASSETS> 70537
<ACCUMULATED-NII-PRIOR> 0
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<OVERDIST-NET-GAINS-PRIOR> 4042
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<PER-SHARE-NII> .59<F1>
<PER-SHARE-GAIN-APPREC> (.01)<F1>
<PER-SHARE-DIVIDEND> .58<F1>
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<AVG-DEBT-OUTSTANDING> 0
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<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 192
<NAME> THE ONE GROUP ULTRA SHORT-TERM INCOME FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 221196
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<TOTAL-LIABILITIES> 6252
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<PAID-IN-CAPITAL-COMMON> 221218
<SHARES-COMMON-STOCK> 2507<F1>
<SHARES-COMMON-PRIOR> 3003<F1>
<ACCUMULATED-NII-CURRENT> 0
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<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 4124
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<EXPENSES-NET> 718
<NET-INVESTMENT-INCOME> 11971
<REALIZED-GAINS-CURRENT> (446)
<APPREC-INCREASE-CURRENT> 200
<NET-CHANGE-FROM-OPS> 11725
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 2049<F1>
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<NUMBER-OF-SHARES-SOLD> 2292<F1>
<NUMBER-OF-SHARES-REDEEMED> 2970<F1>
<SHARES-REINVESTED> 182<F1>
<NET-CHANGE-IN-ASSETS> 70537
<ACCUMULATED-NII-PRIOR> 0
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 201
<OVERDIST-NET-GAINS-PRIOR> 4042
<GROSS-ADVISORY-FEES> 1124
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 1797
<AVERAGE-NET-ASSETS> 36636<F1>
<PER-SHARE-NAV-BEGIN> 9.87<F1>
<PER-SHARE-NII> .56<F1>
<PER-SHARE-GAIN-APPREC> (.01)<F1>
<PER-SHARE-DIVIDEND> .55<F1>
<PER-SHARE-DISTRIBUTIONS> 0<F1>
<RETURNS-OF-CAPITAL> 0<F1>
<PER-SHARE-NAV-END> 9.87<F1>
<EXPENSE-RATIO> .54<F1>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 193
<NAME> THE ONE GROUP ULTRA SHORT-TERM INCOME FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
<PERIOD-END> JUN-30-1998
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<INVESTMENTS-AT-VALUE> 221968
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<OTHER-ITEMS-LIABILITIES> 1139
<TOTAL-LIABILITIES> 6252
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 221218
<SHARES-COMMON-STOCK> 462<F1>
<SHARES-COMMON-PRIOR> 287<F1>
<ACCUMULATED-NII-CURRENT> 0
<OVERDISTRIBUTION-NII> 411
<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 4124
<ACCUM-APPREC-OR-DEPREC> 728
<NET-ASSETS> 217411
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<INTEREST-INCOME> 12689
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<EXPENSES-NET> 718
<NET-INVESTMENT-INCOME> 11971
<REALIZED-GAINS-CURRENT> (446)
<APPREC-INCREASE-CURRENT> 200
<NET-CHANGE-FROM-OPS> 11725
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 177<F1>
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<NUMBER-OF-SHARES-SOLD> 258<F1>
<NUMBER-OF-SHARES-REDEEMED> 96<F1>
<SHARES-REINVESTED> 13<F1>
<NET-CHANGE-IN-ASSETS> 70537
<ACCUMULATED-NII-PRIOR> 0
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<OVERDISTRIB-NII-PRIOR> 201
<OVERDIST-NET-GAINS-PRIOR> 4042
<GROSS-ADVISORY-FEES> 1124
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 1797
<AVERAGE-NET-ASSETS> 3434<F1>
<PER-SHARE-NAV-BEGIN> 9.81<F1>
<PER-SHARE-NII> .52<F1>
<PER-SHARE-GAIN-APPREC> (.01)<F1>
<PER-SHARE-DIVIDEND> .51<F1>
<PER-SHARE-DISTRIBUTIONS> 0<F1>
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<PER-SHARE-NAV-END> 9.81<F1>
<EXPENSE-RATIO> .99<F1>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS B
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 201
<NAME> THE ONE GROUP MUNICIPAL INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
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<INVESTMENTS-AT-COST> 764609
<INVESTMENTS-AT-VALUE> 788318
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<ASSETS-OTHER> 3
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<SENIOR-LONG-TERM-DEBT> 0
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<TOTAL-LIABILITIES> 27708
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 761142
<SHARES-COMMON-STOCK> 61137<F1>
<SHARES-COMMON-PRIOR> 41518<F1>
<ACCUMULATED-NII-CURRENT> 18
<OVERDISTRIBUTION-NII> 0
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<OVERDISTRIBUTION-GAINS> 6052
<ACCUM-APPREC-OR-DEPREC> 23709
<NET-ASSETS> 778817
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<INTEREST-INCOME> 35129
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<NET-INVESTMENT-INCOME> 31124
<REALIZED-GAINS-CURRENT> 2557
<APPREC-INCREASE-CURRENT> 12210
<NET-CHANGE-FROM-OPS> 45891
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 25751<F1>
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<NUMBER-OF-SHARES-SOLD> 26496<F1>
<NUMBER-OF-SHARES-REDEEMED> 6882<F1>
<SHARES-REINVESTED> 4<F1>
<NET-CHANGE-IN-ASSETS> 292153
<ACCUMULATED-NII-PRIOR> 18
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<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 8609
<GROSS-ADVISORY-FEES> 2809
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4885
<AVERAGE-NET-ASSETS> 507335<F1>
<PER-SHARE-NAV-BEGIN> 9.84<F1>
<PER-SHARE-NII> .51<F1>
<PER-SHARE-GAIN-APPREC> .27<F1>
<PER-SHARE-DIVIDEND> .51<F1>
<PER-SHARE-DISTRIBUTIONS> 0<F1>
<RETURNS-OF-CAPITAL> 0<F1>
<PER-SHARE-NAV-END> 10.11<F1>
<EXPENSE-RATIO> .57<F1>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>FIDUCIARY CLASS
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 202
<NAME> THE ONE GROUP MUNICIPAL INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 764609
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<TOTAL-LIABILITIES> 27708
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<PAID-IN-CAPITAL-COMMON> 761142
<SHARES-COMMON-STOCK> 10043<F1>
<SHARES-COMMON-PRIOR> 4237<F1>
<ACCUMULATED-NII-CURRENT> 18
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 6052
<ACCUM-APPREC-OR-DEPREC> 23709
<NET-ASSETS> 778817
<DIVIDEND-INCOME> 138
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<NET-INVESTMENT-INCOME> 31124
<REALIZED-GAINS-CURRENT> 2557
<APPREC-INCREASE-CURRENT> 12210
<NET-CHANGE-FROM-OPS> 45891
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 3418<F1>
<DISTRIBUTIONS-OF-GAINS> 0<F1>
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<NUMBER-OF-SHARES-SOLD> 7666<F1>
<NUMBER-OF-SHARES-REDEEMED> 2120<F1>
<SHARES-REINVESTED> 260<F1>
<NET-CHANGE-IN-ASSETS> 292153
<ACCUMULATED-NII-PRIOR> 18
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 8609
<GROSS-ADVISORY-FEES> 2809
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4885
<AVERAGE-NET-ASSETS> 70911<F1>
<PER-SHARE-NAV-BEGIN> 9.87<F1>
<PER-SHARE-NII> .49<F1>
<PER-SHARE-GAIN-APPREC> .27<F1>
<PER-SHARE-DIVIDEND> .49<F1>
<PER-SHARE-DISTRIBUTIONS> 0<F1>
<RETURNS-OF-CAPITAL> 0<F1>
<PER-SHARE-NAV-END> 10.14<F1>
<EXPENSE-RATIO> .82<F1>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS A
</FN>
</TABLE>
<TABLE> <S> <C>
<ARTICLE> 6
<CIK> 0000763852
<NAME> THE ONE GROUP FAMILY OF MUTUAL FUNDS
<SERIES>
<NUMBER> 203
<NAME> THE ONE GROUP MUNICIPAL INCOME BOND FUND
<MULTIPLIER> 1,000
<S> <C>
<PERIOD-TYPE> YEAR
<FISCAL-YEAR-END> JUN-30-1998
<PERIOD-START> JUL-01-1997
<PERIOD-END> JUN-30-1998
<INVESTMENTS-AT-COST> 764609
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<OTHER-ITEMS-LIABILITIES> 3911
<TOTAL-LIABILITIES> 27708
<SENIOR-EQUITY> 0
<PAID-IN-CAPITAL-COMMON> 761142
<SHARES-COMMON-STOCK> 5634<F1>
<SHARES-COMMON-PRIOR> 3686<F1>
<ACCUMULATED-NII-CURRENT> 18
<OVERDISTRIBUTION-NII> 0
<ACCUMULATED-NET-GAINS> 0
<OVERDISTRIBUTION-GAINS> 6052
<ACCUM-APPREC-OR-DEPREC> 23709
<NET-ASSETS> 778817
<DIVIDEND-INCOME> 138
<INTEREST-INCOME> 35129
<OTHER-INCOME> 0
<EXPENSES-NET> 4143
<NET-INVESTMENT-INCOME> 31124
<REALIZED-GAINS-CURRENT> 2557
<APPREC-INCREASE-CURRENT> 12210
<NET-CHANGE-FROM-OPS> 45891
<EQUALIZATION> 0
<DISTRIBUTIONS-OF-INCOME> 1923<F1>
<DISTRIBUTIONS-OF-GAINS> 0<F1>
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<NUMBER-OF-SHARES-SOLD> 2416<F1>
<NUMBER-OF-SHARES-REDEEMED> 599<F1>
<SHARES-REINVESTED> 132<F1>
<NET-CHANGE-IN-ASSETS> 292153
<ACCUMULATED-NII-PRIOR> 18
<ACCUMULATED-GAINS-PRIOR> 0
<OVERDISTRIB-NII-PRIOR> 0
<OVERDIST-NET-GAINS-PRIOR> 8609
<GROSS-ADVISORY-FEES> 2809
<INTEREST-EXPENSE> 0
<GROSS-EXPENSE> 4885
<AVERAGE-NET-ASSETS> 46028<F1>
<PER-SHARE-NAV-BEGIN> 9.84<F1>
<PER-SHARE-NII> .42<F1>
<PER-SHARE-GAIN-APPREC> .26<F1>
<PER-SHARE-DIVIDEND> .42<F1>
<PER-SHARE-DISTRIBUTIONS> 0<F1>
<RETURNS-OF-CAPITAL> 0<F1>
<PER-SHARE-NAV-END> 10.10<F1>
<EXPENSE-RATIO> 1.47<F1>
<AVG-DEBT-OUTSTANDING> 0
<AVG-DEBT-PER-SHARE> 0
<FN>
<F1>CLASS B
</FN>
</TABLE>
