the A.M.of 200 values in 50. but the values 192 and 88 are wrongly taken as 92 and 8. Then find the correct A.M.
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Given : The A.M. of 200 values is 50.
But the values 192 and 88 are wrongly taken as 92 and 8.
To find : the correct A.M.
Solution:
Short cut method :
The A.M. of 200 values is 50.
values 192 and 88 are wrongly taken as 92 and 8.
Hence correction in sum = (192 + 88 - 92 - 8 )
= 180
Correction in mean = 180/200 = 0.9
Corrected Mean = 50 + 0.9 = 50.9
Other method :
Total sum of 200 Values = 200 * 50 = 10000
Corrected sum = 10000 + (192 + 88 - 92 - 8 )
= 10180
Corrected Mean = 10180/200
= 50.9
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