The mean of 150 items was found to be 60. Later on, it was discovered that the values of two items were
misread are 52 and 8 instead of 152 and 88 respectively. Find the correct mean.
It is given that
Mean of 150 items = 60
So the total sum = 150 (60) = 9000
We know that
Correct sum of items = sum of 150 items – sum of wrong items + sum of right items
By substituting the values
Correct sum of items = 90000 – (52 + 8) + (152 + 88)
On further calculation
Correct sum of items = 9000 – 60 + 240
So we get
Correct sum of items = 9180
So the correct mean = correct sum of items/ total number of items
By substituting the values
Correct mean = 9180/150 = 61.2
Therefore, the correct mean is 61.2.
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