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Question

# The mean of 50 observations is 39. If one of the observations which was 23 was replaced by 43, the resulting mean will be

A
39
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B
40.6
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C
39.4
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D
38
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Solution

## The correct option is C 39.4We know, Mean = Sum of 50 observationsNumber of observations ⇒Sum of 50 observations=Mean×Sum of 50 observations =39×50=1950 Given, one of the observations which was 23 was replaced by 43 Subtraction of old observation 23 and addition of new observation 43, we get sum of new observations ⇒ new sum = 1950-23+43 = 1970 ∴ New mean = 197050=39.4

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