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Median

Find the mean...

Question

Find the mean where median and mode are given as $10$ and $20$ .

A

5

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B

1

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C

3

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D

4

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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 $m o d e = 20$ and $m e d i a n = 10$

Therefore, $20 = 3 (10) - 2 m e a n$

$⟹ 2 m e a n = 30 - 20$

$⟹ m e a n = \frac{10}{2} = 5$

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