If the ratio of the mean and median of a certain data is 4 5 then the ratio of its mode and mean is ........

Quantitative Aptitude (MTS) Ratio, Proportion

If the ratio of the mean and median of a certain data is 4: 5, then the ratio of its mode and mean is:

This questions was previously asked in

SSC MTS 26th October 2021 Shift-3

7:5

6:5

8:5

7:4

Here’s how to approach the question:

- Given: Mean : Median = 4 : 5

So, Mean = 4x and Median = 5x

- For most distributions, Mode can be estimated using:

Mode = 3 × Median – 2 × Mean

- Substitute values:

Mode = 3 × (5x) – 2 × (4x) = 15x – 8x = 7x

- Now, the ratio of Mode : Mean = 7x : 4x = 7 : 4

- So, among the options, Option 4 (7:4) is correct.

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