Given mean $= 6$ , mode $= 3$ . Find median.

5

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6

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7

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8

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Solution

The correct option is A $5$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m e a n = 6$ and $m o d e = 3$

Therefore, $3 = 3 m e d i a n - 2 (6)$

$⟹ 3 m e d i a n = 3 + 12$

$⟹ m e d i a n = \frac{15}{3} = 5$

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$x_{i}$	$3$	$5$	$7$	$9$	$11$	$13$
$f_{i}$	$6$	$8$	$15$	$3$	$8$	$4$

x	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
f	$9$	$11$	$5$	$6$	$8$	$1$	$3$	$7$

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