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The average height of 30 boys is 150 cm. It was detected later that one value of 165 cm was wrongly copied as 135 cm for the computation of the mean. Find the correct mean.

Asked by Topperlearning User 6th November 2017, 1:25 PM
Answered by Expert

begin mathsize 12px style Calculated space average space height space of space 30 space boys space left parenthesis Incorrect space mean right parenthesis equals 150 space cm
Incorrect space sum space of space height space of space 30 space boys equals 150 cross times 30 equals 4500 space cm
Hence comma space correct space sum space of space height space of space 30 space boys
equals Incorrect space sum plus Correct space item minus Wrongly space copied space item
equals 4500 plus 165 minus 135
equals 4530
therefore space Correct space mean equals fraction numerator Correct space sum over denominator Number space of space boys end fraction equals 4530 over 30 equals 151 space cm
Hence comma space the space correct space mean space height space is space 151 space cm. end style

Answered by Expert 6th November 2017, 3:25 PM
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