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If the difference of mode and median of a data is 24, then the difference of medina and mean is A. 12 B. 24 C. 8 D. 36 |
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Answer» Difference of mode and median, mode - median = 24 …[1] We know that empirical relation between mean, median and mode is Mode = 3 Median - 2 Mean ⇒ 3 Mode - 2 Mode = 3 Median - 2 Mean ⇒ 3 Mode - 3 Median = 2 Mode - 2 Mean ⇒ 3(Mode - Median) = 2(Mode - Mean) From [1] we have 3(24) = 2(Mode - Mean) ⇒ Mode - Mean = 36 …[2] on substracting [1] from [2] Mode - Mean - (Mode - Median) = 36 - 24 Mode - Mean - Mode + Median = 8 Median - Mode = 8 Hence, difference between median and mode is 8. |
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