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Best Suited Measure of Central Tendency in Different Cases and the Empirical Relationship between Them

If mean = m...

Question

If mean $=$ mode $= 10$ . Find median.

10

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11

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Solution

The correct option is A $10$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

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

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

$⟹ 3 m e d i a n = 10 + 20$

$⟹ m e d i a n = \frac{30}{3} = 10$

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x	$10$	$20$	$25$	$30$	$37$	$55$
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\frac{11}{10}

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