If data set A has a standard deviation of 12.56 and data set B has a standard de

Question

If data set A has a standard deviation of 12.56 and data set B has a standard deviation of 15.92, which of the statements below is correct? Assume both data sets are using the same scale.

Data set B has more variability around its mean than data set A

Both data sets have the same mean.

Data set A has more variability around its mean than data set A.

Data set B has a higher mean than data set A.

Data set B has more variability around its mean than data set A

Both data sets have the same mean.

Data set A has more variability around its mean than data set A.

Data set B has a higher mean than data set A.

Explanation / Answer

Correct Answer:

Data set B has more variability around its mean than data set A.

Explanation:

We know that the greater value of standard deviation indicates the greater variability around its mean. Here, standard deviation for data set B is more than data set A. So, data set B has more variability around its mean than the data set A. Values for standard deviations for two data sets don’t infer about means of two data sets. So, we can’t say about the means of given two data sets A and B.

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