CBSE BOARD XII, asked by soumyarm42, 6 months ago

The anthmetic average of a series of 20 items has been computed as 400. While
and 360 have been taken as 540 and 630 respectively. Find the correct value of mean

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Answered by shivangidhyani
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Answered by PoojaBurra
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Question - The arithmetic means of a series of 20 item has been computex as400 will computing to below 450 and 360 have been taken as 540 and 630 respectively find the correct value of the mean

The correct value of mean is 418.

Given - Mean

Find - Correct value of mean

Solution - Mean = sum of all observations/number of observations

Sum of observations = 20*400

Performing multiplication

Sum of observations = 8000

Correct sum of observations = Original sum - sum of wrong values + correct values

Correct sum of observations = 8000 - (450 + 360) + 540 + 630

Correct sum of observations = 8000 - 810 + 1170

Correct sum of observations = 8360

Correct mean = 8360/20

Correct mean = 418

Hence, the correct mean is 418.

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