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How the bands are defined

Almost every modern IQ instrument calibrates to the same scale: a normal distribution with a mean of 100 and a standard deviation of 15. A score of 100 sits exactly at the population median. A score of 115 is one standard deviation above (roughly the 84th percentile). A score of 130 is two standard deviations above (roughly the 98th percentile). The same logic mirrors below the mean: 85 is the 16th percentile, and 70 is the 2nd.

The bands here use the conventional labels reported by the Wechsler Adult Intelligence Scale (WAIS-IV) and the Stanford-Binet Intelligence Scales (SB5). Other instruments use slightly different cutoffs (the Cattell scale, for example, uses an SD of 24 instead of 15) but the underlying concept is the same.