The mean of 100 observation was found to be 30. If two observation were wrongly taken as 25 and 13 instead of 24 and 12 , find the correct mean

39.98

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29.98

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35.23

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Solution

The correct option is B
29.98

Mean = $\frac{Sum of total observation(x)}{Total Observation(n)}$

Given Mean = 30

Number of observation = 100

Sum of total observation = 3000

Incorrect value of $x$ = 3000
Correct value of $x$ = 3000 - (25 + 13) + ( 24 + 12)
= 3000 - 38 + 36
= 2998

Correct Mean = $\frac{Correct value of x}{Number of Observation}$

= $\frac{2998}{100}$
= 29.98

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observations is found to be

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. At the time of computation two items were wrongly taken as

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and

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