Use the normal distribution of IQ? scores, which has a mean of 85 and a standard deviation of 16, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.
Standard score / Percent
-3.0 / 0.13
-2.5 / 0.62
-2 / 2.28
-1.5 / 6.68
-1 / 15.87
-0.9 / 18.41
-0.5 / 30.85
-0.1 / 46.02
0 / 50.00
0.10 / 53.98
0.5 / 69.15
0.9 / 81.59
1 / 84.13
1.5 / 93.32
2 / 97.72
2.5 / 99.38
3 / 99.87
3.5 / 99.98
Find the percentage of scores between 45 and 117. Round to two decimal places.