For a certain frequency distribution, the value of mean is 20 and mode is 11. Find the value of median.

Ans.

Mean – Mode = 3 (Mean – Median)

∴ 20 – 11 = 3 (20 – Median)

∴ 9 = 3 (20  - Median)

∴ 9/3 = 20 – Median

∴ 3 = 20 – Median

∴ Median = 20 – 3

∴ Median = 17

For a certain frequency distribution, the value of the mean is 101 and that of the median is 100. find the value of the mode.