The mean of 10 observation was calculated as 40. It was detected on rechecking that the value of 40 was wrongly copied as 10 . Find the correct mean.
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Mean = (Sum of all observations)/(Number of observations)
or, 40 = (Sum of all observations)/10
So, sum of all observations = 400
But this is incorrect sum, since one observation was copied wrongly.
So, correct sum = Incorrect sum – Incorrect observation + correct observation
= 400 – 15 + 45
= 430
Correct Mean = Correct Sum/ Number of observations
= 430/10
= 43
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