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For a group of 100 students, the mean ba...

For a group of 100 students, the mean `bar(x)_(1)` and the standard deviation `sigma_(1)` of their marks were found to be 40 and 15 respectively. Later it was observed that the scores 40 and 50 were misread as 30 and 60 respectively. If the mean and the standard deviation with the corrected observations of the scores, are `bar(x)_(2) and sigma_(2)` respectively , then

A

`bar(x) = bar(x)_(2), sigma_(1) = sigma_(2)`

B

`bar(x)_(1) = bar(x)_(2), sigma_(1) lt sigma_(2)`

C

`bar(x)_(1) = bar(x)_(2), sigma_(1) gt sigma_(2)`

D

`bar(x)_(1) gt bar(x)_(2), sigma_(1) = sigma_(2)`

Text Solution

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The correct Answer is:
C
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