If mean and mode $= 14$ . Find the value of the median.

13

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14

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15

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16

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Solution

The correct option is D $14$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m o d e = 14$ and $m e a n = 14$

Therefore, $14 = 3 m e d i a n - 2 (14)$

$⟹ 3 m e d i a n = 14 + 28$

$⟹ m e d i a n = \frac{42}{3} = 14$

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