The standard
deviation (SD or s)
is a measure of the width or spread of Gaussian/normal/bellcurve curves
that approximately fit the distributions of intelligence, heights, weights,
etc. The larger the value of s,
the broader the curve will look. 68% of the population has an IQ
lying within ±1 standard deviation (s)
of the mean (average) IQ of 100. 96% of the population has an IQ lying
between -2 s
and +2 s.
99.6% of the population posseses an IQ within the range -3 s
to +3 s,
while 99.994% may be found within the range -4 s
through 4 s.
In the
diagram below, s
= 16 points of IQ. It may be seen from this curve that 98% of all individuals
lie below an IQ that is 2 s
above the mean (average) IQ of 100 (96% between -2 s
and +2 s
(IQ = 68 through IQ = 132), plus 2% below an IQ of 68.
A standard
deviation of 15 is also popular on IQ tests. It's important to determine
whether the standard deviation being used is 15 or 16 when assessing IQ-test
results.