Question

The tables represent hat sizes measured in inches for two softball teams.

Seahawks
21 21.5 22
23.5 22 21.5
23.5 21.5 24
22.5 24 23
23 23.5 24
Falcons
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5


Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.

Seahawks; they have a larger mean value of about 22.7 inches

Falcons; they have a larger mean value of about 22.3 inches

Seahawks; they have a larger median value of 23 inches

Falcons; they have a larger median value of 22.5 inches

Answer 1

The team that has the largest overall size hat for their players is the Seahawks; they have a larger mean value of about 23 inches. The correct option is C.

Explanation:

What is the mean and median?

The two most frequently used measures of center are mean and median. When we compare the mean numbers for the Falcons and Seahawks, we can see that the Falcons have a mean of roughly 22 inches and the Seahawks have a mean of roughly 23 inches.

Nevertheless, when the data is skewed or contains outliers, the mean may not be the best approximation of the center because the mean can be altered by extreme values or outliers. Thus, we also need to compare the median values. The median is the midway value in the ordered set of data.

Thus, the correct option is C, Seahawks; they have a larger mean value of about 23 inches.