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Question
If the difference of Mode and Median of a data is 24, then the difference of median and mean is ______.
Options
12
24
8
36
Solution
If the difference of Mode and Median of a data is 24, then the difference of median and mean is 12.
Explanation:
Given: Mode − Median = 24
We know that
Mode = 3Median − 2Mean
Now, Mode − Median = 2(Median − Mean)
⇒ 24 = 2(Median − Mean)
⇒ Median − Mean = 12
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