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Astor scores at the 84th percentile on the WISC. Which number most closely expresses his IQ?

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(@aamir)
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Astor scores at the 84th percentile on the WISC. Which number most closely expresses his IQ?

(A) 85
(B) 110
(C) 115
(D) 120
(E) 130

Spoiler
Answer
(C) 115

Spoiler
Explanation
The WISC (Wechsler intelligence scale for children) yields a deviation IQ score. The mean on the WISC is set at 100. Therefore, someone who scores 100 has scored at the 50th percentile on the test. The standard deviation on the WISC is set at 15. Since approximately 34 percent of the scores in a normal distribution fall between the mean and one standard deviation above the mean, Astor’s score at the 84th percentile indicates that he scored almost exactly one standard deviation above the mean. Therefore, to compute Astor’s score, we simply have to add the mean (100) to one standard deviation (15).

 
Posted : 09/03/2024 12:56 pm
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