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

\begin{tabular}{|l|l|l|}
\hline \multicolumn{3}{|c|}{ Panthers } \\
\hline 14 & 10 & 10 \\
\hline 10 & 17 & 3 \\
\hline 28 & 13 & 17 \\
\hline 32 & 16 & 10 \\
\hline 14 & 7 & 21 \\
\hline
\end{tabular}
\begin{tabular}{|l|l|l|}
\hline \multicolumn{3}{|c|}{ Saints } \\
\hline 21 & 12 & 3 \\
\hline 3 & 10 & 10 \\
\hline 14 & 3 & 12 \\
\hline 28 & 40 & 10 \\
\hline 17 & 20 & 7 \\
\hline
\end{tabular}

Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.

A. Saints: they have a larger mean value of about 14 points.
B. Panthers: they have a larger mean value of about 14.8 points.
C. Saints: they have a larger median value of 12 points.
D. Panthers: they have a larger median value of 14 points.

Sagot :

GinnyAnsweridn
To determine which team had the best overall record for the season, we should analyze both the mean and median of the points scored by the Panthers and the Saints.

First, let's define what mean and median are and how they can inform our decision:

- Mean (Average): The mean is the sum of all the values divided by the number of values. It gives us an overall idea of the teams' average performance across the season.
- Median: The median is the middle value when all the data points are arranged in ascending order. It provides insight into the typical value and is less affected by extreme values (outliers).

### Mean Calculation

Panthers:
- Mean: 14.8 points

Saints:
- Mean: 14.0 points

### Median Calculation

Panthers:
- Median: 14.0 points

Saints:
- Median: 12.0 points

### Comparison and Conclusion

1. Mean Comparison: The Panthers have a higher mean of 14.8 points compared to the Saints' 14.0 points. Therefore, on average, the Panthers scored more points per game than the Saints during the season.

2. Median Comparison: The Panthers also have a higher median of 14.0 points compared to the Saints' 12.0 points. This indicates that typically, the Panthers' middle value of points scored in each game is higher.

Thus, both the mean and the median suggest the Panthers had a better overall performance throughout the season.

### Conclusion:
The Panthers had the best overall record for the season based on both the mean and median points scored. Therefore, the best measure to compare the overall records, in this case, would be both measures (mean and median), as they both consistently show the Panthers outperforming the Saints.
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