Mode+3 2 (Median - Mode)= - Vidyadip

Question

$\text{Mode}+\frac{3}{2}(\text{Median - Mode})=$

✓

Answer

Mean

Solution:
3 Median = 2 Mean + Mode
⇒ 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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