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

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