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From the time of early studies by Sir Francis Galton in the late nineteenth cent

ID: 3248231 • Letter: F

Question

From the time of early studies by Sir Francis Galton in the late nineteenth century linking it with mental ability, the cranial capacity of the human skull has played an important role in arguments about IQ, racial differences, and evolution, sometimes with serious consequences. (See, for example, S.J. Gould, "The Mismeasure of Man, " 1996.) Suppose that the mean cranial capacity measurement for modern, adult males is 1005 cc (cubic centimeters) and that the standard deviation is 271 cc. Complete the following statements about the distribution of cranial capacity measurements for modern, adult males.

Explanation / Answer

a) 75%

b) About 8/9 of the measurements will lie within 3 SD from the mean. So,

The required interval will be:

(1005 - 3*271) and (1005 + 3*271)

192 and 1818

c) According to empirical rule, 68% of the observations lie within 1 SD from the mean.

So,

Required interval will be:

(1005 - 271) and (1005 + 271)

734 and 1276

d) 95%

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