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Mean

Find the mean...

Question

Find the mean where median and mode are given as $13$ and $2.5$ .

A

16.25

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B

17.25

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C

18.25

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D

19.25

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Solution

The correct option is C $18.25$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m o d e = 2.5$ and $m e d i a n = 13$

Therefore, $2.5 = 3 (13) - 2 m e a n$

$⟹ 2 m e a n = 39 - 2.5$

$⟹ m e a n = \frac{36.5}{2} = 18.25$

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