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Question

Mathematics Question on Mean Deviation

The average weight of 2525 boys was calculated to be 78.4kg78.4\, kg. It was later discovered that one weight was misread as 6969 kg instead of 96kg96 \,kg. The correct average is

A

79kg79\, kg

B

79.48kg79.48 \,kg

C

81.32kg81.32 \,kg

D

80.04kg80.04 \,kg

Answer

79.48kg79.48 \,kg

Explanation

Solution

Incorrect sum of all items =78.4×25=1960kg= 78.4 \times 25 = 1960\, kg \therefore Correct sum =196069+96=1987kg= 1960 - 69 + 96 = 1987 \,kg \therefore Correct average =198725=79.48kg= \frac{1987}{25} = 79.48\,kg.