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SAT Math Practice Question #34014 - SATify | SATify

#34014

average

statistics

data analysis

hard

120 sec

A data set of $n$ numbers has an arithmetic mean of $M$ . If a new number, $k$ , is added to this data set, the new mean becomes $M + 2$ . Which of the following expresses $k$ in terms of $n$ and $M$ ?

A.

$k = (n + 1) (M + 2) - n M$

B.

$k = n (M + 2) - n M$

C.

$k = (n + 1) M + 2$

D.

$k = (n + 1) (M + 2)$