Question

The difference between the Mode and the Median of a data is 25. What is the difference between the Median and the Mean?
1. 10.5
2. 16
3. 12.5
4. 14

Answer 1

Correct Answer - Option 3 : 12.5

Given:

Mode – Median  = 25

Formula used:

Mode = 3 Median - 2 Mean

Calculation:

Mode = 3 Median - 2 Mean

⇒ Mode = 2 Median + Median - 2 Mean 

⇒ 2 Median - 2 Mean = Mode - Median

⇒  2(Median – Mean) = 25

⇒ Median – Mean = 25/2

⇒ Median – Mean = 12.5

∴ The difference between the Median and the Mean is 12.5.