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प्रश्न
The mean of 100 observations is 40. It is found that an observation 53 was misread as 83.
Find the correct mean.
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उत्तर
Given the mean of 100 observations is 40.
`(sumx)/n = barx`
⇒ `(sumx)/n = 40`
⇒ x = 40 x 100
⇒ x = 4000
Incorrect value of x = 4000
Correct value of x = Incorrect value of x - Incorrect observation + correct observation
= 4000 - 83 + 53
= 3970
Correct mean = `("correct value of" sumx)/n`
= `3970/100`
= 39.7
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