Question

Find median of the data, using empirical relation when it is given that Mode=12.4 & Mean=10.5.

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Answer 1

$Mean – Mode = 3 (Mean – Median)$

$let \: median = x$

$10.5 - 12.4 = 3(10.5 - x)$

$\frac{ - 1.9}{3} - 10.5 = - x$

$\frac{ - 1.9 - 31.5}{ 3} = - x$

$\frac{33.4}{3} = x$

$x = 11.133333.....$

$answer = 11.13(approx.)$