Mathematics
If the difference between the mode and median of a certain data is 24, then the difference between median and mean is :
8
12
24
36
Measures of Central Tendency
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Answer
Given,
Mode - Median = 24
Mode = 24 + Median
By formula,
Mode = 3 Median - 2 Mean
⇒ 24 + Median = 3 Median - 2 Mean
⇒ 3 Median - Median - 2 Mean = 24
⇒ 2 Median - 2 Mean = 24
⇒ 2 (Median - Mean) = 24
⇒ Median - Mean =
⇒ Median - Mean = 12.
Hence, Option 2 is the correct option.
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