Correct Answer - Option 2 : 5 ∶ 14
Given:
Mode ∶ median = 7 ∶ 4
Formula used:
Mode = 3 × median - 2 × mean
Calculations:
Let mode be 7x and median be 4x
7x = 3 × 4x - 2 × Mean
⇒ 7x = 12x - 2 × Mean
⇒ 2 × Mean = 12x - 7x
⇒ 2 × Mean = 5x
⇒ Mean = 5x/2
Ratio of Mean and mode = 5x/2 ∶ 7x
⇒ 5x/14x = 5/14
∴ The ratio of mean and mode is 5 ∶ 14
