To illustrate exactly how improbable a given IQ score might be, see the following table of statistics on above average [=IQs=]. Scores are from the Stanford-Binet test, the original and best-known IQ test -- see [[UsefulNotes/IQTesting here]]. They follow a normal (bell curve) distribution with a mean of 100 points and a standard deviation of 15 points.
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|| IQ|| Occurrence|| Frequency|| On Earth (of 7 500 000 000)||
|| ≥100||50%|| 1 in 2|| 3 750 000 000
|| ≥105||37%|| 1 in 3|| 2 770 810 051
|| ≥110||25%|| 1 in 4|| 1 893 694 032
|| ≥115||16%|| 1 in 6|| 1 189 914 404
|| ≥120||09.1%|| 1 in 11|| 684 084 148
|| ≥125||04.8%|| 1 in 21|| 358 427 642
|| ≥130||02.3%|| 1 in 44|| 170 625 990
|| ≥135||00.98%|| 1 in 102|| 73 614 965
|| ≥140||00.38%|| 1 in 261|| 28 727 854
|| ≥145||00.13%|| 1 in 741|| 10 124 235
|| ≥150||00.043%|| 1 in 2 331|| 3 217 952
|| ≥155||00.012%|| 1 in 8 139|| 921 498
|| ≥160||00.003 2%|| 1 in 31 574|| 237 534
|| ≥165||00.000 73%|| 1 in 136 176|| 55 076
|| ≥170||00.000 15%|| 1 in 653 327|| 11 480
|| ≥175||00.000 029%|| 1 in 3 488 556|| 2 150
|| ≥180||00.000 004 8%|| 1 in 20 741 279|| 362
|| ≥185||00.000 000 73%|| 1 in 137 360 560|| 55
|| ≥190||00.000 000 099%|| 1 in 1 013 594 692|| 7
|| ≥195||00.000 000 012%|| 1 in 8 336 096 322|| 1
|| ≥200||00.000 000 001 3%|| 1 in 76 429 666 480|| 0