Question

Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.

Answer 1

Verify the data sets are the same:

If the measures of the central tendency of two sets are same, then it does not implies that their data is same.

If the data of two sets is same, then the measures of the central tendency are same.

It is given that two sets of data have the same measures of central tendency, then by the above two statements, it can be concluded that the data of those two sets might be or might not be equal.

Hence, the data sets are not same.