A sample of tests is selected by these criteria:
The combined score distribution thus obtained is meant to be representative for candidates on serious high-range intelligence tests that, each on their own, provide a fair indication of one's I.Q. A score distribution is derived, using all of the scores on the selected tests. "Proportions outscored" are computed for each protonorm, within-sex, to the number of decimals needed to retain the information of the distribution. Sex-combined proportions outscored are computed by taking for each protonorm the weighted mean of the female and male proportions outscored, weighted by the numbers of female and male candidates on this sample of tests. The male/female ratio here is close to 17, while on high-range tests in general it is closer to 11; this is because females avoid heterogeneous tests more than do males.
The Protonorms table shows the resulting norms. Below are the distributions.
Score | Prop. | # scores (* = 1 score) |
---|---|---|
97 | 0.004 (0.007) | * |
135 | 0.011 (0.015) | * |
155 | 0.018 (0.022) | * |
207 | 0.026 (0.029) | * |
240 | 0.033 (0.037) | * |
264 | 0.040 (0.044) | * |
267 | 0.048 (0.051) | * |
268 | 0.055 (0.059) | * |
272 | 0.063 (0.066) | * |
281 | 0.074 (0.081) | ** |
282 | 0.085 (0.088) | * |
283 | 0.103 (0.118) | **** |
286 | 0.121 (0.125) | * |
291 | 0.129 (0.132) | * |
297 | 0.136 (0.140) | * |
298 | 0.143 (0.147) | * |
299 | 0.151 (0.154) | * |
300 | 0.162 (0.169) | ** |
302 | 0.176 (0.184) | ** |
303 | 0.191 (0.199) | ** |
304 | 0.202 (0.206) | * |
305 | 0.210 (0.213) | * |
307 | 0.217 (0.221) | * |
308 | 0.232 (0.243) | *** |
309 | 0.246 (0.250) | * |
310 | 0.261 (0.272) | *** |
313 | 0.276 (0.279) | * |
314 | 0.287 (0.294) | ** |
316 | 0.298 (0.301) | * |
318 | 0.305 (0.309) | * |
321 | 0.313 (0.316) | * |
328 | 0.320 (0.324) | * |
333 | 0.335 (0.346) | *** |
335 | 0.349 (0.353) | * |
340 | 0.360 (0.368) | ** |
344 | 0.371 (0.375) | * |
349 | 0.379 (0.382) | * |
357 | 0.386 (0.390) | * |
361 | 0.393 (0.397) | * |
362 | 0.404 (0.412) | ** |
364 | 0.423 (0.434) | *** |
365 | 0.438 (0.441) | * |
367 | 0.445 (0.449) | * |
368 | 0.460 (0.471) | *** |
370 | 0.474 (0.478) | * |
374 | 0.482 (0.485) | * |
376 | 0.493 (0.500) | ** |
379 | 0.504 (0.507) | * |
380 | 0.515 (0.522) | ** |
381 | 0.529 (0.537) | ** |
386 | 0.540 (0.544) | * |
387 | 0.555 (0.566) | *** |
389 | 0.570 (0.574) | * |
390 | 0.577 (0.581) | * |
393 | 0.585 (0.588) | * |
395 | 0.592 (0.596) | * |
396 | 0.603 (0.610) | ** |
397 | 0.625 (0.640) | **** |
401 | 0.643 (0.647) | * |
404 | 0.662 (0.676) | **** |
414 | 0.680 (0.684) | * |
416 | 0.688 (0.691) | * |
425 | 0.699 (0.706) | ** |
426 | 0.713 (0.721) | ** |
428 | 0.728 (0.735) | ** |
433 | 0.739 (0.743) | * |
436 | 0.746 (0.750) | * |
439 | 0.754 (0.757) | * |
440 | 0.761 (0.765) | * |
441 | 0.768 (0.772) | * |
442 | 0.776 (0.779) | * |
443 | 0.783 (0.787) | * |
446 | 0.794 (0.801) | ** |
453 | 0.805 (0.809) | * |
457 | 0.816 (0.824) | ** |
458 | 0.827 (0.831) | * |
459 | 0.835 (0.838) | * |
478 | 0.842 (0.846) | * |
484 | 0.849 (0.853) | * |
486 | 0.857 (0.860) | * |
487 | 0.868 (0.875) | ** |
493 | 0.879 (0.882) | * |
494 | 0.886 (0.890) | * |
498 | 0.897 (0.904) | ** |
510 | 0.908 (0.912) | * |
518 | 0.915 (0.919) | * |
529 | 0.923 (0.926) | * |
541 | 0.930 (0.934) | * |
555 | 0.938 (0.941) | * |
563 | 0.945 (0.949) | * |
569 | 0.952 (0.956) | * |
580 | 0.960 (0.963) | * |
588 | 0.967 (0.971) | * |
610 | 0.974 (0.978) | * |
650 | 0.982 (0.985) | * |
659 | 0.989 (0.993) | * |
674 | 0.996 (1.000) | * |
Score | Prop. | # scores (* = 1 score) |
---|---|---|
97 | 0.0002 (0.0004) | * |
107 | 0.0007 (0.0009) | * |
110 | 0.0011 (0.0013) | * |
113 | 0.0015 (0.0017) | * |
114 | 0.0020 (0.0022) | * |
131 | 0.0024 (0.0026) | * |
147 | 0.0028 (0.0031) | * |
149 | 0.0033 (0.0035) | * |
150 | 0.0039 (0.0044) | ** |
151 | 0.0048 (0.0052) | ** |
153 | 0.0054 (0.0057) | * |
155 | 0.0063 (0.0070) | *** |
156 | 0.0074 (0.0078) | ** |
157 | 0.0085 (0.0092) | *** |
161 | 0.0094 (0.0096) | * |
165 | 0.0098 (0.0100) | * |
167 | 0.0107 (0.0113) | *** |
173 | 0.0116 (0.0118) | * |
179 | 0.0126 (0.0135) | **** |
190 | 0.0142 (0.0148) | *** |
191 | 0.0150 (0.0153) | * |
192 | 0.0155 (0.0157) | * |
200 | 0.0161 (0.0166) | ** |
206 | 0.0168 (0.0170) | * |
210 | 0.0172 (0.0174) | * |
211 | 0.0177 (0.0179) | * |
220 | 0.0187 (0.0196) | **** |
233 | 0.0209 (0.0222) | ****** |
245 | 0.0224 (0.0227) | * |
249 | 0.0229 (0.0231) | * |
252 | 0.0233 (0.0235) | * |
253 | 0.0238 (0.0240) | * |
254 | 0.0242 (0.0244) | * |
255 | 0.0251 (0.0257) | *** |
259 | 0.0259 (0.0262) | * |
261 | 0.0268 (0.0275) | *** |
263 | 0.0277 (0.0279) | * |
264 | 0.0283 (0.0288) | ** |
266 | 0.0290 (0.0292) | * |
267 | 0.0294 (0.0296) | * |
268 | 0.0310 (0.0323) | ****** |
269 | 0.0331 (0.0340) | **** |
271 | 0.0342 (0.0344) | * |
272 | 0.0349 (0.0353) | ** |
273 | 0.0357 (0.0362) | ** |
274 | 0.0364 (0.0366) | * |
275 | 0.0371 (0.0375) | ** |
276 | 0.0377 (0.0379) | * |
277 | 0.0381 (0.0384) | * |
278 | 0.0403 (0.0423) | ********* |
279 | 0.0429 (0.0436) | *** |
280 | 0.0453 (0.0471) | ******** |
281 | 0.0482 (0.0493) | ***** |
282 | 0.0499 (0.0506) | *** |
283 | 0.0530 (0.0554) | *********** |
286 | 0.0562 (0.0571) | **** |
287 | 0.0575 (0.0580) | ** |
290 | 0.0582 (0.0584) | * |
291 | 0.0586 (0.0588) | * |
292 | 0.0591 (0.0593) | * |
293 | 0.0599 (0.0606) | *** |
294 | 0.0608 (0.0610) | * |
295 | 0.0615 (0.0619) | ** |
296 | 0.0621 (0.0623) | * |
297 | 0.0639 (0.0654) | ******* |
298 | 0.0656 (0.0658) | * |
299 | 0.0680 (0.0702) | ********** |
300 | 0.0724 (0.0745) | ********** |
302 | 0.0756 (0.0767) | ***** |
303 | 0.0769 (0.0772) | * |
305 | 0.0776 (0.0780) | ** |
306 | 0.0787 (0.0793) | *** |
307 | 0.0802 (0.0811) | **** |
308 | 0.0844 (0.0876) | *************** |
309 | 0.0898 (0.0920) | ********** |
310 | 0.0933 (0.0946) | ****** |
311 | 0.0957 (0.0968) | ***** |
312 | 0.0970 (0.0972) | * |
313 | 0.0976 (0.0981) | ** |
314 | 0.0994 (0.1007) | ****** |
315 | 0.1033 (0.1059) | ************ |
316 | 0.1064 (0.1068) | ** |
317 | 0.1075 (0.1081) | *** |
318 | 0.1092 (0.1103) | ***** |
320 | 0.1109 (0.1116) | *** |
321 | 0.1118 (0.1120) | * |
322 | 0.1122 (0.1125) | * |
323 | 0.1131 (0.1138) | *** |
324 | 0.1140 (0.1142) | * |
325 | 0.1144 (0.1146) | * |
326 | 0.1157 (0.1168) | ***** |
327 | 0.1188 (0.1207) | ********* |
328 | 0.1210 (0.1212) | * |
329 | 0.1214 (0.1216) | * |
330 | 0.1218 (0.1221) | * |
331 | 0.1231 (0.1242) | ***** |
332 | 0.1253 (0.1264) | ***** |
333 | 0.1297 (0.1330) | *************** |
334 | 0.1332 (0.1334) | * |
335 | 0.1351 (0.1369) | ******** |
336 | 0.1382 (0.1395) | ****** |
337 | 0.1412 (0.1430) | ******** |
338 | 0.1432 (0.1434) | * |
339 | 0.1463 (0.1491) | ************* |
340 | 0.1539 (0.1587) | ********************** |
341 | 0.1611 (0.1635) | *********** |
342 | 0.1654 (0.1674) | ********* |
343 | 0.1678 (0.1683) | ** |
344 | 0.1698 (0.1713) | ******* |
345 | 0.1724 (0.1735) | ***** |
346 | 0.1748 (0.1761) | ****** |
347 | 0.1776 (0.1792) | ******* |
348 | 0.1811 (0.1831) | ********* |
349 | 0.1857 (0.1883) | ************ |
350 | 0.1942 (0.2001) | *************************** |
352 | 0.2003 (0.2005) | * |
353 | 0.2018 (0.2031) | ****** |
354 | 0.2044 (0.2058) | ****** |
355 | 0.2079 (0.2101) | ********** |
356 | 0.2110 (0.2119) | **** |
357 | 0.2145 (0.2171) | ************ |
358 | 0.2173 (0.2175) | * |
359 | 0.2184 (0.2193) | **** |
360 | 0.2228 (0.2262) | **************** |
361 | 0.2282 (0.2302) | ********* |
362 | 0.2343 (0.2384) | ******************* |
363 | 0.2391 (0.2398) | *** |
364 | 0.2441 (0.2485) | ******************** |
365 | 0.2522 (0.2559) | ***************** |
366 | 0.2583 (0.2607) | *********** |
367 | 0.2661 (0.2716) | ************************* |
368 | 0.2788 (0.2860) | ********************************* |
369 | 0.2890 (0.2921) | ************** |
370 | 0.2929 (0.2938) | **** |
371 | 0.2966 (0.2995) | ************* |
372 | 0.3008 (0.3021) | ****** |
374 | 0.3067 (0.3112) | ********************* |
375 | 0.3123 (0.3134) | ***** |
376 | 0.3165 (0.3195) | ************** |
377 | 0.3215 (0.3235) | ********* |
378 | 0.3248 (0.3261) | ****** |
379 | 0.3311 (0.3361) | *********************** |
380 | 0.3429 (0.3496) | ******************************* |
381 | 0.3518 (0.3540) | ********** |
382 | 0.3568 (0.3596) | ************* |
383 | 0.3607 (0.3618) | ***** |
384 | 0.3636 (0.3653) | ******** |
385 | 0.3657 (0.3662) | ** |
386 | 0.3710 (0.3758) | ********************** |
387 | 0.3884 (0.4010) | ********************************************************** |
388 | 0.4032 (0.4054) | ********** |
389 | 0.4082 (0.4111) | ************* |
390 | 0.4137 (0.4163) | ************ |
391 | 0.4174 (0.4185) | ***** |
392 | 0.4196 (0.4207) | ***** |
393 | 0.4265 (0.4324) | *************************** |
394 | 0.4401 (0.4477) | *********************************** |
395 | 0.4562 (0.4647) | *************************************** |
396 | 0.4701 (0.4756) | ************************* |
397 | 0.4771 (0.4786) | ******* |
398 | 0.4819 (0.4852) | *************** |
399 | 0.4854 (0.4856) | * |
400 | 0.4878 (0.4900) | ********** |
401 | 0.4911 (0.4922) | ***** |
402 | 0.4943 (0.4965) | ********** |
403 | 0.4989 (0.5013) | *********** |
404 | 0.5031 (0.5048) | ******** |
405 | 0.5061 (0.5074) | ****** |
406 | 0.5078 (0.5083) | ** |
407 | 0.5087 (0.5092) | ** |
408 | 0.5183 (0.5275) | ****************************************** |
409 | 0.5290 (0.5305) | ******* |
410 | 0.5316 (0.5327) | ***** |
411 | 0.5340 (0.5353) | ****** |
412 | 0.5368 (0.5384) | ******* |
413 | 0.5464 (0.5545) | ************************************* |
414 | 0.5558 (0.5571) | ****** |
415 | 0.5612 (0.5654) | ******************* |
416 | 0.5669 (0.5684) | ******* |
417 | 0.5697 (0.5711) | ****** |
418 | 0.5721 (0.5732) | ***** |
419 | 0.5739 (0.5745) | *** |
420 | 0.5835 (0.5924) | ***************************************** |
421 | 0.5933 (0.5942) | **** |
422 | 0.5957 (0.5972) | ******* |
423 | 0.5983 (0.5994) | ***** |
425 | 0.6009 (0.6024) | ******* |
426 | 0.6083 (0.6142) | *************************** |
427 | 0.6173 (0.6203) | ************** |
428 | 0.6247 (0.6290) | ******************** |
429 | 0.6314 (0.6338) | *********** |
430 | 0.6371 (0.6404) | *************** |
431 | 0.6415 (0.6425) | ***** |
432 | 0.6434 (0.6443) | **** |
433 | 0.6521 (0.6600) | ************************************ |
434 | 0.6602 (0.6604) | * |
435 | 0.6609 (0.6613) | ** |
436 | 0.6626 (0.6639) | ****** |
437 | 0.6650 (0.6661) | ***** |
439 | 0.6680 (0.6700) | ********* |
440 | 0.6768 (0.6835) | ******************************* |
441 | 0.6840 (0.6844) | ** |
442 | 0.6861 (0.6879) | ******** |
443 | 0.6905 (0.6931) | ************ |
444 | 0.6938 (0.6944) | *** |
445 | 0.6946 (0.6949) | * |
446 | 0.6973 (0.6997) | *********** |
447 | 0.7038 (0.7079) | ******************* |
448 | 0.7108 (0.7136) | ************* |
449 | 0.7151 (0.7167) | ******* |
450 | 0.7177 (0.7188) | ***** |
451 | 0.7210 (0.7232) | ********** |
452 | 0.7236 (0.7241) | ** |
453 | 0.7282 (0.7323) | ******************* |
454 | 0.7343 (0.7363) | ********* |
455 | 0.7369 (0.7376) | *** |
456 | 0.7389 (0.7402) | ****** |
457 | 0.7413 (0.7424) | ***** |
458 | 0.7443 (0.7463) | ********* |
459 | 0.7509 (0.7554) | ********************* |
460 | 0.7568 (0.7581) | ****** |
461 | 0.7605 (0.7629) | *********** |
462 | 0.7637 (0.7646) | **** |
463 | 0.7659 (0.7672) | ****** |
464 | 0.7692 (0.7711) | ********* |
465 | 0.7722 (0.7733) | ***** |
467 | 0.7740 (0.7746) | *** |
468 | 0.7748 (0.7751) | * |
469 | 0.7755 (0.7759) | ** |
470 | 0.7762 (0.7764) | * |
474 | 0.7772 (0.7781) | **** |
475 | 0.7786 (0.7790) | ** |
476 | 0.7805 (0.7820) | ******* |
477 | 0.7836 (0.7851) | ******* |
478 | 0.7857 (0.7864) | *** |
479 | 0.7888 (0.7912) | *********** |
480 | 0.7932 (0.7951) | ********* |
481 | 0.7956 (0.7960) | ** |
482 | 0.7988 (0.8017) | ************* |
483 | 0.8027 (0.8038) | ***** |
484 | 0.8041 (0.8043) | * |
485 | 0.8056 (0.8069) | ****** |
486 | 0.8078 (0.8086) | **** |
487 | 0.8110 (0.8134) | *********** |
488 | 0.8136 (0.8139) | * |
489 | 0.8158 (0.8178) | ********* |
490 | 0.8200 (0.8221) | ********** |
491 | 0.8228 (0.8235) | *** |
492 | 0.8248 (0.8261) | ****** |
493 | 0.8269 (0.8278) | **** |
496 | 0.8287 (0.8296) | **** |
497 | 0.8306 (0.8317) | ***** |
498 | 0.8389 (0.8461) | ********************************* |
499 | 0.8463 (0.8466) | * |
500 | 0.8494 (0.8522) | ************* |
501 | 0.8529 (0.8535) | *** |
502 | 0.8540 (0.8544) | ** |
503 | 0.8548 (0.8553) | ** |
504 | 0.8570 (0.8588) | ******** |
505 | 0.8603 (0.8618) | ******* |
507 | 0.8620 (0.8622) | * |
508 | 0.8636 (0.8649) | ****** |
509 | 0.8657 (0.8666) | **** |
510 | 0.8677 (0.8688) | ***** |
514 | 0.8697 (0.8705) | **** |
515 | 0.8707 (0.8710) | * |
516 | 0.8721 (0.8731) | ***** |
517 | 0.8745 (0.8758) | ****** |
518 | 0.8764 (0.8771) | *** |
520 | 0.8795 (0.8819) | *********** |
521 | 0.8821 (0.8823) | * |
522 | 0.8840 (0.8858) | ******** |
524 | 0.8860 (0.8862) | * |
525 | 0.8864 (0.8867) | * |
526 | 0.8873 (0.8880) | *** |
527 | 0.8882 (0.8884) | * |
529 | 0.8904 (0.8923) | ********* |
530 | 0.8925 (0.8928) | * |
531 | 0.8930 (0.8932) | * |
532 | 0.8936 (0.8941) | ** |
533 | 0.8949 (0.8958) | **** |
534 | 0.8965 (0.8971) | *** |
536 | 0.8973 (0.8976) | * |
537 | 0.8978 (0.8980) | * |
538 | 0.8982 (0.8984) | * |
540 | 0.9017 (0.9050) | *************** |
541 | 0.9056 (0.9063) | *** |
542 | 0.9069 (0.9076) | *** |
543 | 0.9078 (0.9080) | * |
544 | 0.9087 (0.9093) | *** |
545 | 0.9095 (0.9098) | * |
546 | 0.9100 (0.9102) | * |
547 | 0.9115 (0.9128) | ****** |
548 | 0.9130 (0.9133) | * |
549 | 0.9135 (0.9137) | * |
550 | 0.9139 (0.9141) | * |
551 | 0.9146 (0.9150) | ** |
552 | 0.9156 (0.9163) | *** |
553 | 0.9167 (0.9172) | ** |
554 | 0.9176 (0.9180) | ** |
555 | 0.9185 (0.9189) | ** |
556 | 0.9194 (0.9198) | ** |
557 | 0.9202 (0.9207) | ** |
558 | 0.9211 (0.9215) | ** |
559 | 0.9224 (0.9233) | **** |
560 | 0.9244 (0.9255) | ***** |
561 | 0.9257 (0.9259) | * |
562 | 0.9261 (0.9263) | * |
563 | 0.9270 (0.9276) | *** |
565 | 0.9279 (0.9281) | * |
566 | 0.9283 (0.9285) | * |
567 | 0.9287 (0.9289) | * |
569 | 0.9292 (0.9294) | * |
570 | 0.9298 (0.9303) | ** |
573 | 0.9305 (0.9307) | * |
577 | 0.9309 (0.9311) | * |
578 | 0.9313 (0.9316) | * |
580 | 0.9327 (0.9337) | ***** |
581 | 0.9342 (0.9346) | ** |
583 | 0.9348 (0.9350) | * |
584 | 0.9355 (0.9359) | ** |
585 | 0.9372 (0.9385) | ****** |
588 | 0.9392 (0.9398) | *** |
590 | 0.9418 (0.9438) | ********* |
594 | 0.9440 (0.9442) | * |
595 | 0.9457 (0.9473) | ******* |
596 | 0.9477 (0.9481) | ** |
597 | 0.9483 (0.9486) | * |
598 | 0.9488 (0.9490) | * |
600 | 0.9499 (0.9507) | **** |
601 | 0.9510 (0.9512) | * |
602 | 0.9518 (0.9525) | *** |
603 | 0.9531 (0.9538) | *** |
605 | 0.9547 (0.9555) | **** |
606 | 0.9560 (0.9564) | ** |
607 | 0.9566 (0.9568) | * |
608 | 0.9595 (0.9621) | ************ |
610 | 0.9627 (0.9634) | *** |
612 | 0.9638 (0.9643) | ** |
614 | 0.9649 (0.9656) | *** |
616 | 0.9660 (0.9664) | ** |
617 | 0.9673 (0.9682) | **** |
619 | 0.9684 (0.9686) | * |
620 | 0.9693 (0.9699) | *** |
621 | 0.9701 (0.9704) | * |
622 | 0.9710 (0.9717) | *** |
626 | 0.9719 (0.9721) | * |
627 | 0.9725 (0.9730) | ** |
630 | 0.9732 (0.9734) | * |
631 | 0.9736 (0.9738) | * |
632 | 0.9743 (0.9747) | ** |
633 | 0.9749 (0.9752) | * |
636 | 0.9754 (0.9756) | * |
640 | 0.9760 (0.9765) | ** |
641 | 0.9769 (0.9773) | ** |
646 | 0.9780 (0.9786) | *** |
647 | 0.9789 (0.9791) | * |
650 | 0.9793 (0.9795) | * |
651 | 0.9797 (0.9799) | * |
652 | 0.9802 (0.9804) | * |
653 | 0.9813 (0.9821) | **** |
655 | 0.9826 (0.9830) | ** |
656 | 0.9832 (0.9834) | * |
657 | 0.9837 (0.9839) | * |
658 | 0.9841 (0.9843) | * |
659 | 0.9852 (0.9861) | **** |
662 | 0.9863 (0.9865) | * |
663 | 0.9867 (0.9869) | * |
664 | 0.9871 (0.9874) | * |
666 | 0.9876 (0.9878) | * |
667 | 0.9882 (0.9887) | ** |
668 | 0.9893 (0.9900) | *** |
671 | 0.9904 (0.9908) | ** |
672 | 0.9911 (0.9913) | * |
674 | 0.9922 (0.9930) | **** |
676 | 0.9932 (0.9935) | * |
680 | 0.9937 (0.9939) | * |
681 | 0.9943 (0.9948) | ** |
687 | 0.9952 (0.9956) | ** |
697 | 0.9963 (0.9969) | *** |
705 | 0.9972 (0.9974) | * |
710 | 0.9976 (0.9978) | * |
725 | 0.9980 (0.9983) | * |
730 | 0.9991 (1.0000) | **** |