Question

which statements best describe the dot plot or box plot? check all that apply. add the number of dots above each age in the dot plot to find the number of players on the team: 2 + 1+3 + 2+3 + 2 = 13. subtract the maximum and minimum values of the box plot to find the number of players on the team: 12 - 7. the median appears clearly on the dot plot at the center of the number line: 9.5. the median appears clearly on the box plot at the line within the box: 10. the dot plot is the only display that can be used to show the variability of the data. the box plot is the only display that can be used to show the variability of the data.

Explanation:

Step1: Analyze dot - plot for player count

In a dot - plot, the sum of dots above each value represents the total number of data points. Here, adding the number of dots above each age ($2 + 1+3 + 2+3 + 2$) gives the number of players on the team. This statement is correct.

Step2: Analyze box - plot for player count

Subtracting the maximum and minimum values of a box - plot gives the range, not the number of data points (number of players). So, the statement about subtracting max and min of the box - plot to find the number of players is incorrect.

Step3: Analyze median on dot - plot

To find the median on a dot - plot, we need to order the data and find the middle value. Just looking at the center of the number line is not correct. So, the statement about the median on the dot - plot is incorrect.

Step4: Analyze median on box - plot

The line within the box of a box - plot represents the median. So, the statement that the median appears clearly on the box - plot at the line within the box ($10$) is correct.

Step5: Analyze variability displays

Both dot - plots and box - plots can show the variability of data. So, the statements that only one of them can show variability are incorrect.

Answer:

Add the number of dots above each age in the dot plot to find the number of players on the team: $2 + 1+3 + 2+3 + 2=13$.
The median appears clearly on the box plot at the line within the box: $10$.