If mode of a data is 45, mean is 27, then median is:

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Solution

The correct option is D 33
Given that mode $= 45$ and mean $= 27$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

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

$⟹ m e d i a n = \frac{45 + 2 (27)}{3} = \frac{45 + 54}{3} = \frac{99}{3} = 33$

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