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The tables represent the points earned in each game for a season by two football teams.

Eagles
3 24 14
27 10 13
10 21 24
17 27 7
40 37 55
Falcons
24 24 10
7 30 28
21 6 17
16 35 30
28 24 14


Which team had the best overall record for the season? Determine the best measure of center to compare, and explain your answer.
Eagles; they have a larger median value of 21 points
Falcons; they have a larger median value of 24 points
Eagles; they have a larger mean value of about 22 points
Falcons; they have a larger mean value of about 20.9 points

User INNO TECH
by
7.5k points

1 Answer

4 votes

Explanation:

To determine which team had the best overall record for the season, we need to compare the total points earned by each team across all the games they played. We can calculate the total points for each team by adding up the points earned in each game.

For the Eagles:

Total points = 3 + 24 + 14 + 27 + 10 + 13 + 10 + 21 + 24 + 17 + 27 + 7 + 40 + 37 + 55

= 310

For the Falcons:

Total points = 24 + 24 + 10 + 7 + 30 + 28 + 21 + 6 + 17 + 16 + 35 + 30 + 28 + 24 + 14

= 300

Based on these calculations, the Eagles earned a total of 310 points while the Falcons earned a total of 300 points, making the Eagles the team with the best overall record for the season.

To determine the best measure of center to compare, we need to consider whether the data is skewed or not. A skewed dataset has a long tail on one side, which can affect the mean value. In this case, we can calculate both the mean and the median to compare the central tendency of the data.

For the Eagles, the mean is:

Mean = (3 + 24 + 14 + 27 + 10 + 13 + 10 + 21 + 24 + 17 + 27 + 7 + 40 + 37 + 55) / 15

= 20.67

For the Falcons, the mean is:

Mean = (24 + 24 + 10 + 7 + 30 + 28 + 21 + 6 + 17 + 16 + 35 + 30 + 28 + 24 + 14) / 15

= 20.00

The median for the Eagles is 21, which is higher than the median for the Falcons, which is 24. Therefore, the best measure of center to compare is the median. This suggests that the Eagles were more consistent in their point-scoring throughout the season, with fewer extreme values that might have skewed the mean.

User Abbadon
by
7.9k points
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