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Measures of Central Tendency for Grouped Data

In a moderate...

Question

In a moderately skewed distribution, if the values of mean and mode are 10k and 7k respectively, then its median is

A

6k

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B

7k

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C

8k

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D

9k

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Solution

The correct option is D 9k
3 MEDIAN = MODE + 2 MEAN

3 MEDIAN = 7K + 2(10K)

$\Rightarrow$ 3 MEDIAN = 7K + 20K = 27K

$\Rightarrow$ MEDIAN $= \frac{27 K}{3}$

$∴ MEDIAN = 9 K$

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Measures of Central Tendency for Grouped Data

Standard X Mathematics

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