Question

Question What are the similarities and differences between these data sets in terms of their centers and their variability? Data Set A: 21, 26, 29, 33, 40, 43 Data Set B: 20, 23, 28, 30, 44, 47 Select from the drop-down menus to correctly complete the statements. Comparing the centers of the data sets, the median for Data Set A is Choose... the median for Data Set B. The mean for Data Set A is Choose... the mean for Data Set B.

Answer 1

Comparing the centers of the data sets:

- The median for Data Set A is greater than the median for Data Set B.

- The mean for Data Set A is greater than the mean for Data Set B.

Comparing the variability of the data sets:

- The range of Data Set A is 22, while the range of Data Set B is 27. Therefore, the range of Data Set B is greater.

- The standard deviation of Data Set A is greater than the standard deviation of Data Set B, indicating higher variability in Data Set A.