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Question

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

A
There are 7 classes with the below frequencies.

{10, 12, 15, 17, 14, 15, 17}
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B
There are 6 classes with the below frequencies.

{2, 20, 25, 17, 19, 22}
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C
There are 7 classes with the below frequencies.

{5, 7, 5, 6, 4, 5, 7}
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D
There are 6 classes with the below frequencies.

{17, 20, 25, 17, 19, 22}
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Solution

The correct option is B There are 6 classes with the below frequencies.

{2, 20, 25, 17, 19, 22}
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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