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Question


For which data set, the mean is not a good representative measures of central tendency.


Options:
A .   There are 7 classes with the below frequencies.
{10, 12, 15, 17, 14, 15, 17}
B .   There are 6 classes with the below frequencies.
{2, 20, 25, 17, 19, 22}
C .   There are 7 classes with the below frequencies.
{5, 7, 5, 6, 4, 5, 7}
D .   There are 6 classes with the below frequencies.
{17, 20, 25, 17, 19, 22}
Answer: Option B
:
B
We know that extreme values in the data affect the mean. Here only for the data set {2, 20, 25, 17, 19, 22}, we find the extreme value as one class has the frequency as 2 and the others have frequency 20, 25, 17, 19 and 22.

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