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

If Mean = 3 M...

Question

If Mean = (3 Median-Mode) x, then the value of $x$ is

1

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2

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\frac{1}{2}

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\frac{3}{2}

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Solution

The correct option is A $\frac{1}{2}$
We know, Mode $= 3 \times$ Median $- 2 \times$ Mean
$∴$ Mean $= \frac{3 \times Median - Mode}{2} = \frac{1}{2} (3 \times Median - Mode)$

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Similar questions

The relation between mean,mode and median is

(a) $m o d e = (3 \times m e a n) - (2 \times m e d i a n)$

(b) $m o d e = (3 \times m e d i a n) - (2 \times m e a n)$

(d) $m e a n = (3 \times m e d i a n) - (2 \times m o d e)$

x

x

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