High School

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

**Pelicans:**

21.5, 25, 22
21, 22, 23
22.5, 24, 21.5
22, 23.5, 22
23.5, 22, 24.5

**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.

A. Falcons; they have a larger median value of 22.5 inches
B. Pelicans; they have a larger median value of 22 inches
C. Falcons; they have a larger mean value of about 22 inches
D. Pelicans; they have a larger mean value of about 23 inches

Answer :

To determine which team has the largest overall size hat for their players, we need to calculate the central tendency of the data. Since there are no outliers in the data and the data is roughly symmetric, the mean is an appropriate measure of central tendency.

Calculating the means of the two teams, we get:
Pelicans: (21.5+25+22+21+22+23+22.5+24+21.5+22+23.5+22+24.5)/12 = 22.25 inches
Falcons: (22.5+20+23.5+21+24+22+20.5+21.5+23+23+22.5+21+24+22+24.5)/15 = 22.3 inches

Therefore, the Falcons have a slightly larger mean hat size than the Pelicans. So the answer is Falcons; they have a larger mean value of about 22 inches.