Question 132

The mean of 50 numbers is 30. Later it was discoverd that two entries were wrongly entered as 82 and 13 instead of 28 and 31. Find the correct mean.

Solution

average = $$\frac{Sum}{NumberofElements}$$

it is given that mean of 50 numbers = 30

Sum of 50 numbers = 50 x 30 = 1500

Corrected Sum = 1500 - (82 + 13) + (28 + 31) = 1464

New and corrected average = $$\frac{1464}{50}$$ = 29.28

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