If mean $= 12$ , mode $= 9$ . Find median.

10

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11

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12

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13

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Solution

The correct option is B $11$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m e a n = 12$ and $m o d e = 9$

Therefore, $9 = 3 m e d i a n - 2 (12)$

$⟹ 3 m e d i a n = 9 + 24$

$⟹ m e d i a n = \frac{33}{3} = 11$

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13, 17, 16, 11, 13, 10, 16, 11, 18, 12, 17

11, 13, 8, 10, 15, 18, 12, 7, 9, 16

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