Q4 of 14 Page 269

Find the mean of data if mode = 50.5 and median = 45.5

Empirical formula is


Mode = 3 Median – 2 mean


Given,


Mode = 50.5


Median = 45.5


Substituting values in formulae


50.5 = 3(45.5) – 2 . mean


50.5 = 136.5 – 2 . mean


2 . mean = 136.5 – 50.5


2 . mean = 86


⇒ mean = 43


So, mean is 43


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