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The average of 10 observations is 40. It was realised later that an observation was misread as 31 in place of 50. Find the correct average.​
Question

The average of 10 observations is 40. It was realised later that an observation was misread as 31 in place of 50. Find the correct average.​

A.

41.9

B.

44.9

C.

40.9

D.

42.9

Correct option is A

Given:

Average of 10 observations = 40

Incorrect observation = 31

Correct observation = 50

Formula Used:

Average = Total ValueNumber of Observations\frac{\text{Total Value}}{\text{Number of Observations}}​​

Solution:

Total sum of observations = 10 × 40 = 400

Correct total = 400 − 31 + 50 = 419

Correct average = 41910\frac{419} { 10}​ = 41.9

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