If mode and median $= 23$ . Find the value of the mean.

23

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Solution

The correct option is D $23$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m o d e = 23$ and $m e d i a n = 23$

Therefore, $23 = 3 (23) - 2 m e a n$

$⟹ 2 m e a n = 69 - 23$

$⟹ m e a n = \frac{46}{2} = 23$

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