Use the normal distribution of IQ scores, which has a mean of 75 and a standard deviation of 12, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.
Percentage of scores greater than 105 is _________ %
Full data set | |||
Standard score |
% |
Standard score |
% |
---|---|---|---|
minus−3.0 |
0.13 |
0.1 |
53.98 |
minus−2.5 |
0.62 |
0.5 |
69.15 |
minus−2 |
2.28 |
0.9 |
81.59 |
minus−1.5 |
6.68 |
1 |
84.13 |
minus−1 |
15.87 |
1.5 |
93.32 |
minus−0.9 |
18.41 |
2 |
97.72 |
minus−0.5 |
30.85 |
2.5 |
99.38 |
minus−0.1 |
46.02 |
3 |
99.87 |
0 |
50.00 |
3.5 |
99.98 |
nothing %.
(Round to two decimal places as needed.)
thank you
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