The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?
A) 40.36
B) 41.24
C) 41.92
D) 42.05
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Mean is the average of a given set of data.
Given: Mean of 100 observations is 40 and one observation of 84 was misread as 48.
To find: The correct mean.
Answer:
Mean = Sum of all observations/Total number of observations.
Therefore sum = Mean*Total number of observations.
Total number of observations = 100
Mean = 40
Substituting the values,
Sum = 40*100 = 4000
New sum = sum - wrong data + right data
Wrong Data: 48
Right Data: 84
New sum = 4000 - 48 + 84
New sum = 4036
Therefore new mean = 4036/100 = 40.36
Hope it helps :)
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