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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