1.

The mean and mode of a variable are 5.5 and 6.4 respectively. Find its median.

Answer»

x̄ = 5.5, M0 = 6.4, M = ?
Using the empirical formula,
M0 = 3M – 2x̄
∴6.4 = 3M – 2(5.5)
∴ 6.4 + 11.0 = 3M
∴ M = 17.4 / 3 = 5.8



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