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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 :

The correct answer is Pelicans. they have a larger mean value of about 22.5 inches.To determine which team has the largest overall size hat for their players, we can compare the measures of center for the two teams. The measures of center commonly used are the median and the mean.

To find the median, we arrange the hat sizes in ascending order and find the middle value. For the Pelicans, when we arrange their hat sizes in ascending order, we get:

21 21.5 22 22 22.5 23 23.5 24 24.5

The median is the middle value, which is 22.5 inches

.For the Falcons, when we arrange their hat sizes in ascending order, we get:

20 20.5 21 21.5 22 22.5 23 23.5 24 24.5

The median is also 22.5 inches.

Since both teams have the same median value, we need to compare the mean. To find the mean, we sum up all the hat sizes and divide by the total number of measurements.

For the Pelicans, the sum of their hat sizes is 22 + 21 + 22 + 22 + 23.5 + 22 + 23 + 24 + 21.5 + 24.5 = 225 inches.

Dividing by 10 (the number of measurements) gives a mean value of 22.5 inches.

For the Falcons, the sum of their hat sizes is 20 + 20.5 + 21 + 21.5 + 22 + 22.5 + 23 + 23.5 + 24 + 24.5 = 222 inches.Dividing by 10 (the number of measurements) gives a mean value of 22.2 inches.

Comparing the means, the Pelicans have a larger mean value of about 22.5 inches compared to the Falcons' mean value of about 22.2 inches.

For such more questions on Pelicans:

https://brainly.com/question/14699799

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