Question

If the difference of mode and median of a data is 24. Find the difference of median and mean.​

Answer 1

Answer. Answer: If the difference of mode and median of a data is 24, then the difference of median and mean is 12.

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$Since,  Mode = 3 Median - 2 Mean</p><p>⇒ Mode = 2 Median + Median - 2 Mean</p><p>⇒  Mode - Median = 2 Median - 2 Mean</p><p>⇒  Mode - Median = 2 (Median - Mean)</p><p>Given, Difference of mode and median of a data is 24</p><p>∴  24 = 2 (Median - Mean)</p><p>⇒  Median - Mean = 12</p><p></p><p>$

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