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Question 1
If $\overline{X_1}$ and $\overline{X_2}$ are the means of two distributions such that $\overline{X_1} < \overline{X_2}$ and $\overline{X}$ is the mean of the combined distribution, then
A.
$\overline{X} < \overline{X_1}$
B.
$\overline{X} > \overline{X_2}$
C.
$\overline{X}=\frac{\overline{X_1} + \overline{X_2}}{2}$
D.
$\overline{X_1} < \overline{X} < \overline{X_2}$
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