Question

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. $\overline{x}_{1}<\overline{x}<\overline{x}_{2}$

Hint:

If $x1$ and $\overlinex2$ are the means of two distributions such that $\overlinex1<\overlinex2$ and $\overlinex$ is the mean of the combined distribution, then

Answer 1

The Correct Option is D