If the ratio of mode and median of a distribution is 6 : 5, then the ratio of its mean and median is

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8:9

9:10

9:7

8:11

answer is B.

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Detailed Solution

We have Mode: Median =6:5⇒ Mode =6λ, Median =5λNow, Mode =3 Median −2 Mean ⇒ 6λ=3×5λ−2 Mean ⇒ Mean =92λ∴ Mean : Median =9λ2:5λ=9:10

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