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Question

If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

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Solution

Let the mean of the given data be 2x. and median of that data be 3x.
Since Mode =3 Median -2 Mean
Mode =3×3x2×2x=9x4x=5x
Ratio of mode and mean is 5x : 2x = 5 : 2

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