Given mode $= 12$ , median $= 10$ . Find mean.

14

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12

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8

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9

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Solution

The correct option is D $9$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m o d e = 12$ and $m e d i a n = 10$

Therefore, $12 = 3 (10) - 2 m e a n$

$⟹ 2 m e a n = 30 - 12$

$⟹ m e a n = \frac{18}{2} = 9$

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