For a certain frequency distribution the values of Mean and Mode are 54.6 and 54 respectively. Find the value of median.

Mean = 54.6, Mode = 54 [Given]

We know that,

Mean – Mode = 3 (Mean – Median)

∴  54.6 – 54 = 3 (54.6 – Median)

∴  0.6 = 3 (54.6 – Median)

∴ 0.6/3 = 54.6 – Median

∴ 0.2 = 54.6 – Median

∴  Median = 54.6 – 0.2

∴  Median = 54.4