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The average of 10 observations is 40. It was realised later that an observation was misread as 32 in place of 43. Find the correct average.​
Question

The average of 10 observations is 40. It was realised later that an observation was misread as 32 in place of 43. Find the correct average.​

A.

44.1

B.

41.1

C.

42.1

D.

40.1

Correct option is B

Given:

The average of 10 observations is 40.

One observation was misread as 32 instead of 43.

Formula Used:

Average = Sum of all observationsNumber of observations\frac{\text{Sum of all observations}}{\text{Number of observations}}

Solution:

Incorrect sum = 40 × 10 = 400

Correct sum = Incorrect sum – 32 + 43 = 400 – 32 + 43 =411

Correct average = Correct sum10=41110=41.1\frac{\text{Correct sum}}{10} = \frac{411}{10} = 41.1

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