A. the mean represents the center. b. the mean does not represent the center because it is the largest data value. c. the mean does not represent the center because it is the smallest data value. d. the mean does not represent the center because it is not a data value. e. the data set does not have a mean.

The Mean or Arithmetic mean is not the center, neither is it the largest or smallest data value. On the contrary, it does have a value (not necessarily in the data themselves). So I would define the Mean or Arithmetic Mean as the sum of all the values in a given set of data divided by the number of data in the set. Suppose we have a data set 5, 8, 9 the Arithmetic mean is 5 + 8 + 9; we divided the result by the number of data which is 3 . Hence in the above data set our mean is 22/5 = 4.4