Question

What are the similarities and differences between these data sets in terms of their centers and their variability?

Data set A: 16, 10, 18, 24

Data set B: 21, 14, 16, 14, 19

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 the median for data set B.

Further, based on the range, data set is more variable.

Answer 1

Explanation:

The given data set A is:

16, 10, 18, 24

Arrange in ascending order, we have

10,16, 18, 24

Since, median is the mid value of the given set, therefore

`Median of set A=(10+18)/(2)=14`

Range of the given data set A is given as:

`Range=24-10=14`

The given data set B is:

21, 14, 16, 14, 19

Arrange in ascending order, we have

14, 14, 16, 19, 21

Since, median is the mid value of the given set, therefore

`Median of set B=16`

Range of the given data set B is given as:

`Range=21-14=7`

Median of data set A is less than data set B and the range of data set A is greater than range of the data set B.

Answer 2

Because the choices concern more about the median, the median of Data set A is equal to 17. The median of Data set B is 16. Thus, the median for A is not exactly similar to the median of B.

The range of Data Set A is 8 while that of Data Set B is 7. Thus, the range of A is greater compared to B.