I took everyone that stated their type on OkCupid (~65,000 people, 1/3rd female) and matched them with each other (straight males with straight/bi women, bi males with bi males and straight/bi women, etc), and some numbers popped out. What do you think?

Male 1 (INTP) was matched with female 1 (INFJ), for example, then the resulting match percentage (how much of what the INTP male wants is given by the INFJ female) was stored in the ("m:intp", "f:infj") bucket. Then the reverse happened, and it was stored in the ("f:infj", "m:intp") bucket. Once everyone was matched with everyone else, the values in each bucket were averaged together. Once averaged, the average and standard deviation for the ("m:intp", ...) results were calculated, for example, then used to normalize those results. Once normalized, the lower of ("m:intp", "f:infj") and ("f:infj, "m:intp") was stored as the match percentage for that type and gender.


>= -0.4615: above average
>= 0.4470: great
>= 1.3555: exceptional

ENFJ Female
ENFP Female
ENTJ Female
ENTP Female
ESFJ Female
ESFP Female
ESTJ Female
ESTP Female
ENFJ 1.7638
INFJ 1.2640
ENTJ 1.0938
ENFP 1.0173
ENTP 0.8344
INFP 0.5538
INTJ 0.5183
INTP 0.0014
ESTJ -0.4041
ISFJ -0.5673
ESFJ -0.6561
ESTP -0.7526
ESFP -0.8742
ISTP -1.1763
ISTJ -1.2526
ISFP -1.4764
ENFP 1.3465
ENFJ 1.3354
ENTP 1.2019
INFP 0.9823
INFJ 0.9745
ENTJ 0.7099
INTP 0.5428
INTJ 0.3190
ESFP -0.4281
ESTP -0.5147
ISTP -0.7848
ISFP -0.9514
ISFJ -0.9596
ESTJ -1.0077
ESFJ -1.0792
ISTJ -1.7241
ENTJ 1.3500
ENTP 0.8258
INTJ 0.7409
ENFJ 0.6371
ENFP 0.3681
INTP 0.2687
ESTJ 0.0642
INFJ -0.0040
ESTP -0.1831
INFP -0.2120
ISTJ -0.7361
ESFJ -0.8123
ISTP -0.8445
ISFJ -1.0178
ESFP -1.0894
ISFP -1.9339
ENTP 1.3419
ENTJ 1.0113
ENFP 0.9939
INTP 0.8838
INTJ 0.7387
INFP 0.5664
ENFJ 0.5360
INFJ 0.2000
ESTP -0.2464
ISTP -0.4995
ESFP -0.7336
ESTJ -0.8000
ISFJ -1.2592
ISFP -1.2869
ISTJ -1.3336
ESFJ -1.3510
ESTJ 0.6641
ISFJ 0.4441
ESFJ 0.3577
ENFJ 0.3126
ENTJ 0.0047
ISTJ -0.0806
INFJ -0.2769
ENFP -0.3992
ENTP -0.7215
INTJ -0.7577
INFP -0.8045
ESTP -0.8799
ESFP -1.1246
INTP -1.2514
ISTP -1.3091
ISFP -1.6182
ENFP 0.0139
ENFJ -0.1110
ESTJ -0.2668
ENTP -0.3083
ESFJ -0.3833
ENTJ -0.4496
INFP -0.4730
ESFP -0.4741
ESTP -0.5942
ISFJ -0.6133
INFJ -0.7618
INTP -0.9407
ISTP -1.2320
INTJ -1.4341
ISTJ -1.4436
ISFP -1.4560
ESTJ 0.8443
ISTJ 0.5467
ESFJ 0.1616
ENTJ -0.0212
ESTP -0.3782
ISFJ -0.4911
ENFJ -0.5646
INTJ -0.8990
ENTP -1.0312
ENFP -1.2930
INFJ -1.3194
ESFP -1.3601
ISTP -1.4761
INTP -1.6339
INFP -1.8603
ISFP -1.9665
ENTJ 0.7252
ENTP 0.5508
ENFP 0.3051
ENFJ 0.2714
ESTJ 0.0226
INTP -0.0892
INTJ -0.1293
ESTP -0.2381
INFP -0.3424
INFJ -0.4682
ISTP -0.7948
ESFJ -0.8073
ESFP -0.8625
ISFJ -0.9341
ISTJ -1.0642
ISFP -1.9241
INFJ Female
INFP Female
INTJ Female
INTP Female
ISFJ Female
ISFP Female
ISTJ Female
ISTP Female
INFJ 1.7156
ENFJ 1.2308
INFP 1.1224
INTJ 1.0047
INTP 0.6054
ENFP 0.5955
ENTJ 0.4350
ENTP 0.3592
ISFJ -0.0669
ISTJ -0.7092
ISTP -0.7366
ISFP -0.8518
ESTJ -1.0013
ESFJ -1.1331
ESFP -1.3391
ESTP -1.3951
INFP 1.4522
INFJ 1.1257
INTP 0.9525
ENFP 0.9291
ENTP 0.5467
ENFJ 0.4290
INTJ 0.4271
ENTJ -0.2247
ISFP -0.3458
ISFJ -0.4468
ISTP -0.4579
ESFP -0.7790
ESTP -1.0930
ISTJ -1.2552
ESFJ -1.3845
ESTJ -1.5026
INTJ 1.2853
INTP 0.9163
INFJ 0.4495
ENTJ 0.3703
ENTP 0.3535
INFP 0.3466
ENFP -0.0831
ENFJ -0.1067
ISTP -0.2558
ISTJ -0.3019
ISFJ -0.5335
ESTJ -0.8483
ESTP -0.9439
ISFP -1.1483
ESFJ -1.5720
ESFP -1.5848
INTP 1.3350
INTJ 0.7975
INFP 0.6869
ENTP 0.6036
ENFP 0.1540
ISTP 0.0376
INFJ 0.0330
ENTJ -0.2642
ISFP -0.5858
ENFJ -0.6924
ESTP -0.7356
ISTJ -0.8579
ISFJ -0.9777
ESFP -1.0017
ESTJ -1.4275
ESFJ -1.8261
ISFJ 1.1934
ISTJ 0.6945
INFJ 0.0898
ESTJ 0.0060
ESFJ -0.1249
ENFJ -0.4116
INTJ -0.4192
INFP -0.5029
ISTP -0.6597
ISFP -0.6881
INTP -0.9525
ENTJ -0.9857
ENFP -1.0333
ENTP -1.4195
ESFP -1.6152
ESTP -1.6813
ISFP -0.3172
INFP -0.3439
ENFP -0.8600
INFJ -0.8647
INTP -0.8670
ISFJ -0.9157
ESFP -1.0929
ENTP -1.3100
ENFJ -1.3704
ESFJ -1.4360
ISTP -1.5268
INTJ -1.7273
ISTJ -1.8030
ESTP -1.8393
ESTJ -1.9110
ENTJ -2.0245
ISTJ 0.8996
ISFJ 0.0972
ESTJ -0.1975
INTJ -0.3727
ESFJ -0.6696
ISTP -0.7512
INFJ -0.8386
ENTJ -0.9508
INTP -0.9615
ISFP -1.1335
ENFJ -1.2048
INFP -1.2198
ESTP -1.3323
ENTP -1.4424
ENFP -1.6305
ESFP -1.9728
INTP -0.7765
ENTP -1.1480
INFP -1.2197
ISTP -1.2451
INTJ -1.3943
ENFP -1.4379
ISFP -1.4393
ESTP -1.4654
ISTJ -1.5406
ENTJ -1.6466
ESFP -1.7044
ESTJ -1.8119
INFJ -1.8452
ISFJ -1.9787
ESFJ -2.0190
ENFJ -2.0546
ENFJ Male
ENFP Male
ENTJ Male
ENTP Male
ESFJ Male
ESFP Male
ESTJ Male
ESTP Male
ENFJ 1.7638
ENFP 1.3354
INFJ 1.2308
ENTJ 0.6371
ENTP 0.5360
INFP 0.4290
ESFJ 0.3126
ESTP 0.2714
INTJ -0.1067
ESFP -0.1110
ISFJ -0.4116
ESTJ -0.5646
INTP -0.6924
ISTJ -1.2048
ISFP -1.3704
ISTP -2.0546
ENFP 1.3465
ENFJ 1.0173
ENTP 0.9939
INFP 0.9291
INFJ 0.5955
ENTJ 0.3681
ESTP 0.3051
INTP 0.1540
ESFP 0.0139
INTJ -0.0831
ESFJ -0.3992
ISFP -0.8600
ISFJ -1.0333
ESTJ -1.2930
ISTP -1.4379
ISTJ -1.6305
ENTJ 1.3500
ENFJ 1.0938
ENTP 1.0113
ESTP 0.7252
ENFP 0.7099
INFJ 0.4350
INTJ 0.3703
ESFJ 0.0047
ESTJ -0.0212
INFP -0.2247
INTP -0.2642
ESFP -0.4496
ISTJ -0.9508
ISFJ -0.9857
ISTP -1.6466
ISFP -2.0245
ENTP 1.3419
ENFP 1.2019
ENFJ 0.8344
ENTJ 0.8258
INTP 0.6036
ESTP 0.5508
INFP 0.5467
INFJ 0.3592
INTJ 0.3535
ESFP -0.3083
ESFJ -0.7215
ESTJ -1.0312
ISTP -1.1480
ISFP -1.3100
ISFJ -1.4195
ISTJ -1.4424
ESFJ 0.3577
ESTJ 0.1616
ISFJ -0.1249
ESFP -0.3833
ENFJ -0.6561
ISTJ -0.6696
ESTP -0.8073
ENTJ -0.8123
ENFP -1.0792
INFJ -1.1331
ENTP -1.3510
INFP -1.3845
ISFP -1.4360
INTJ -1.5720
INTP -1.8261
ISTP -2.0190
ENFP -0.4281
ESFP -0.4741
ENTP -0.7336
INFP -0.7790
ESTP -0.8625
ENFJ -0.8742
INTP -1.0017
ENTJ -1.0894
ISFP -1.0929
ESFJ -1.1246
INFJ -1.3391
ESTJ -1.3601
INTJ -1.5848
ISFJ -1.6152
ISTP -1.7044
ISTJ -1.9728
ESTJ 0.8443
ESFJ 0.6641
ENTJ 0.0642
ESTP 0.0226
ISFJ 0.0060
ISTJ -0.1975
ESFP -0.2668
ENFJ -0.4041
ENTP -0.8000
INTJ -0.8483
INFJ -1.0013
ENFP -1.0077
INTP -1.4275
INFP -1.5026
ISTP -1.8119
ISFP -1.9110
ENTJ -0.1831
ESTP -0.2381
ENTP -0.2464
ESTJ -0.3782
ENFP -0.5147
ESFP -0.5942
INTP -0.7356
ENFJ -0.7526
ESFJ -0.8799
INTJ -0.9439
INFP -1.0930
ISTJ -1.3323
INFJ -1.3951
ISTP -1.4654
ISFJ -1.6813
ISFP -1.8393
INFJ Male
INFP Male
INTJ Male
INTP Male
ISFJ Male
ISFP Male
ISTJ Male
ISTP Male
INFJ 1.7156
ENFJ 1.2640
INFP 1.1257
ENFP 0.9745
INTJ 0.4495
ENTP 0.2000
ISFJ 0.0898
INTP 0.0330
ENTJ -0.0040
ESFJ -0.2769
ESTP -0.4682
ESFP -0.7618
ISTJ -0.8386
ISFP -0.8647
ESTJ -1.3194
ISTP -1.8452
INFP 1.4522
INFJ 1.1224
ENFP 0.9823
INTP 0.6869
ENTP 0.5664
ENFJ 0.5538
INTJ 0.3466
ENTJ -0.2120
ESTP -0.3424
ISFP -0.3439
ESFP -0.4730
ISFJ -0.5029
ESFJ -0.8045
ISTP -1.2197
ISTJ -1.2198
ESTJ -1.8603
INTJ 1.2853
INFJ 1.0047
INTP 0.7975
ENTJ 0.7409
ENTP 0.7387
ENFJ 0.5183
INFP 0.4271
ENFP 0.3190
ESTP -0.1293
ISTJ -0.3727
ISFJ -0.4192
ESFJ -0.7577
ESTJ -0.8990
ISTP -1.3943
ESFP -1.4341
ISFP -1.7273
INTP 1.3350
INFP 0.9525
INTJ 0.9163
ENTP 0.8838
INFJ 0.6054
ENFP 0.5428
ENTJ 0.2687
ENFJ 0.0014
ESTP -0.0892
ISTP -0.7765
ISFP -0.8670
ESFP -0.9407
ISFJ -0.9525
ISTJ -0.9615
ESFJ -1.2514
ESTJ -1.6339
ISFJ 1.1934
ESFJ 0.4441
ISTJ 0.0972
INFJ -0.0669
INFP -0.4468
ESTJ -0.4911
INTJ -0.5335
ENFJ -0.5673
ESFP -0.6133
ISFP -0.9157
ESTP -0.9341
ENFP -0.9596
INTP -0.9777
ENTJ -1.0178
ENTP -1.2592
ISTP -1.9787
ISFP -0.3172
INFP -0.3458
INTP -0.5858
ISFJ -0.6881
INFJ -0.8518
ENFP -0.9514
ISTJ -1.1335
INTJ -1.1483
ENTP -1.2869
ISTP -1.4393
ESFP -1.4560
ENFJ -1.4764
ESFJ -1.6182
ESTP -1.9241
ENTJ -1.9339
ESTJ -1.9665
ISTJ 0.8996
ISFJ 0.6945
ESTJ 0.5467
ESFJ -0.0806
INTJ -0.3019
INFJ -0.7092
ENTJ -0.7361
INTP -0.8579
ESTP -1.0642
ENFJ -1.2526
INFP -1.2552
ENTP -1.3336
ESFP -1.4436
ISTP -1.5406
ENFP -1.7241
ISFP -1.8030
INTP 0.0376
INTJ -0.2558
INFP -0.4579
ENTP -0.4995
ISFJ -0.6597
INFJ -0.7366
ISTJ -0.7512
ENFP -0.7848
ESTP -0.7948
ENTJ -0.8445
ENFJ -1.1763
ESFP -1.2320
ISTP -1.2451
ESFJ -1.3091
ESTJ -1.4761
ISFP -1.5268

Correlation of match ordering with IQ (how much the ordering of personality types by match percentage for an INTP male, for example, lines up with the ordering of personality types by likelihood to be gifted) using the Spearman rank-order correlation coefficient:
Code:
 0.9353     INTP Male
 0.9353     INTJ Female
 0.9147     INTP Female
 0.8618     INTJ Male
 0.8500     INFP Female
 0.8382     ISTP Male
 0.8235     INFJ Female

 0.7941     INFP Male
 0.7735     ENTP Female
 0.6765     ENFP Female
 0.6618     INFJ Male
 0.6118     ENTJ Female
 0.5941     ISTP Female
 0.5824     ENFJ Female
 0.5500     ENTP Male
 0.5235     ENFP Male
 0.4588     ESTP Female
 0.4441     ISFP Male

 0.3265     ENFJ Male
 0.3206     ENTJ Male
 0.2529     ISFP Female
 0.1765     ESFP Male
 0.0529     ESTP Male
-0.0912     ISTJ Male
-0.1118     ESFP Female

-0.1147     ISFJ Female
-0.1647     ISTJ Female
-0.2588     ESFJ Female
-0.2676     ISFJ Male
-0.3941     ESTJ Female
-0.5118     ESTJ Male

-0.6882     ESFJ Male
IQ data: http://psych.wisc.edu/henriques/papers/Sak.pdf