The mean of nine observation is 35 later discovered that an observation 81 was misrrad as 18 find the correct mean of the observation
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Mean is the average of a given set of data.
Given: Mean of 9 observations is 35 and that one observation of 81 was misread as 18.
To find: The correct mean.
Answer:
Mean = Sum of all observations/Total number of observations
Therefore sum = Mean*Total number of observations.
Mean = 35
Total number of observations = 9
Substituting the values,
Sum = 35*9 = 315
New sum = Sum - wrong data + right data.
Wrong data: 18
Right data: 81
Therefore new sum = 315 - 18 + 81 = 378
Therefore correct mean = 378/9 = 42
Hope it helps :)
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