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  • The mean of 100 observations is 50. If one of the observations which was 50 is replaced by 150, the resulting mean will be : (A) 50.5 (B) 51 (C) 51.5 (D) 52

The mean of 100 observations is 50. If one of the observations, which was 50 is replaced by 150, the resulting mean will be :

(A) 50.5

(B) 51

(C) 51.5

(D) 52

Answers (1)

Answer : B

Given that the mean of 100 observations is 50,.

 \Rightarrow \text {mean}=\frac{\text {sum of observation}}{\text {No.of observation}}

Here is the number of observations: 100

Let the sum of 50 observations be x

\Rightarrow 50=\frac{x}{100}

\Rightarrow x=50\times100=5000

Given that one observation, 50 is replaced by 150

New \ sum=x-50+150=5000-50+150=5100

New \ mean=\frac{5100}{100}=51

Hence, the mean is 51

Therefore, option (B) is correct.

Posted by

infoexpert23

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