MCQ
$\text{Mode}+\frac{3}{2}(\text{Median - Mode})=$
- AMode
- BMedian
- CNone of these
- ✓Mean
✓
Answer
Correct option: D.
Mean
$3$ Median = $2$ Mean + Mode
$\Rightarrow 3$ Median – Mode = $2$ Mean
$\Rightarrow\text{Mean}=\frac{3}{2}\text{ Median }-\frac{\text{Mode}}{2}$
$\Rightarrow\text{Mean}+\frac{3}{2}\text{ Median }-\frac{\text{Mode}}{2}-\text{Mode = Mean}$
$\Rightarrow\text{Mean}+\frac{3}{2}\text{(Median - }\text{Mode) = Mean}$
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