Question

IQ scores have a mean of 100 and a standard deviation of 15. Albert Einstein reportedly had an IQ of 160. a.) What is the difference between Einsteins IQ and the mean? b.) How many standard deviations is that?

Answer 1

Albert Einstein's IQ was 60 points above the mean IQ score of 100. This is equivalent to 4 standard deviations above the mean since the standard deviation for IQ scores is 15.

Step-by-step explanation:

The student has asked about the IQ score of Albert Einstein and its relation to the mean IQ score. The mean IQ score is 100 with a standard deviation of 15.

a.) Difference between Einstein's IQ and the mean

The difference between Einstein's IQ of 160 and the mean of 100 is 160 - 100 = 60 points.

b.) Number of standard deviations

To find out how many standard deviations Albert Einstein's IQ is above the mean, we divide the difference by the standard deviation: 60 ÷ 15 = 4 standard deviations above the mean.