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Median

If the mode o...

Question

If the mode of some data is 7 and their mean is also 7, then the value of their median is :

A

10

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B

9

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C

8

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D

7

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Solution

The correct option is D 7
Given that mode $= 7$ and mean $= 7$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

$⟹ m e d i a n = \frac{m o d e + 2 m e a n}{3}$

$⟹ m e d i a n = \frac{7 + 2 (7)}{3} = \frac{7 + 14}{3} = \frac{21}{3} = 7$

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