A certain list of 300 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive.

A certain list of 300 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?

(A) 75 and 80
(B) 80 and 85
(C) 70 and 75
(D) 75 and 75
(E) 70 and 80

OA D

Source: Veritas Prep

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