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#30901

average

statistics

data analysis

hard

90 sec

Data set P contains $p$ values with a mean of $M_{P}$ . Data set Q contains $q$ values with a mean of $M_{Q}$ . Data set R is formed by combining all values from data set P and data set Q. If $p > q$ and $M_{P} > M_{Q}$ , which of the following statements must be true about $M_{R}$ , the mean of data set R?

A.

$M_{R} = \frac{M _{P} + M _{Q}}{2}$

B.

$M_{R} ＞ M_{P}$

C.

$M_{R} < M_{Q}$

D.

$M_{Q} < M_{R} < M_{P}$ and $M_{R}$ is closer to $M_{P}$ than to $M_{Q}$