Consider the following scores. (i) a score of 40 from a distribution with mean 5

Question

Consider the following scores.

(i) a score of 40 from a distribution with mean 50 and standard deviation 10

(ii) a score of 45 from a distribution with mean 50 and standard deviation 5 How do the two scores compare relative to their respective distributions?

a)They are both 2 standard deviations below their respective means.

b)They are both 1 standard deviation above their respective means.

c)They are both 1 standard deviation below their respective means.

d) The score of 40 is 2 standard deviations below its mean, while the score of 45 is only 1 standard deviation below its mean.

Explanation / Answer

Ans: c)They are both 1 standard deviation below their respective means.

(For (i), mu-1sigma=50-10=40, a given score

For(ii), mu-1sigma=50-5=45, a given score)

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