A set of data with 100 observations has a mean of 267. There are six outliers in the data set, which have a mean of 688. If the
six outliers are removed, what is the mean of the new data set?
A. 251.0
B. 311.6
C. 240.1
D. 284.0
2 answers:
Let
x------> the sum of a set of data with
observations
Mn------> the means of the new data set
we know that


therefore
the answer is the option C
the mean of the new data set is 
X*94 +688*6 = 267*100
94x+4128=26700
94X=22572 /94
X=240.128
C is the closest answer
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