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Median

Calculate the...

Question

Calculate the mean where mode and median are given as $10$ and $5$ .

A

2

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B

2.5

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C

3

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D

3.5

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Solution

The correct option is B $2.5$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m o d e = 10$ and $m e d i a n = 5$

Therefore, $10 = 3 (5) - 2 m e a n$

$⟹ 2 m e a n = 15 - 10$

$⟹ m e a n = \frac{5}{2} = 2.5$

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