Use the normal distribution of IQ scores, which has a mean of 130 and a standard deviation of 17, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.
Percentage of scores greater than 96 is %.
(Round to two decimal places as needed.)
Standard Scores and Percentiles for a Normal Distribution
Full data set
Standard score % Standard score %
-3.0 0.13 0.1 53.98
-2.5 0.62 0.5 69.15
-2 2.28 0.9 81.59
-1.5 6.68 1 84.13
-1 15.87 1.5 93.32
-0.9 18.41 2 97.72
-0.5 30.85 2.5 99.38
-0.1 46.02 3 99.87
0 50.00 3.5 99.98