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If the ratio of mean and median of a distribution is 2 : 3 then the ratio of mode and mean is

This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. 5 ∶ 2
  2. 2 ∶ 5
  3. 2 ∶ 3
  4. 3 ∶ 2

Answer (Detailed Solution Below)

Option 1 : 5 ∶ 2
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Detailed Solution

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Explanation -

We know that Mode = 3 × Median - 2 ×  Mean

we have the ratio of mean and median of a distribution is 2 : 3 then

Median = 3x and Mean = 2x

Now  Mode = 3 ×  3x - 2 ×  2x = 9x - 4x = 5x

So Mode : Mean = 5x : 2x = 5 : 2

Hence the ratio of mode and mean is 5 : 2.

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