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high temperatures for City 11\newline66. The double box-and-whisker plot represents the points scored per game by two basketball teams during a 2020-game season. Is the number of points scored per game significantly greater for one team than the other? Explain.\newline282282 Big Ideas Math: Modeling Real Life Grade 77\newlineCopyright extcopyright{} Big\newlineResources by Chapter

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Q. high temperatures for City 11\newline66. The double box-and-whisker plot represents the points scored per game by two basketball teams during a 2020-game season. Is the number of points scored per game significantly greater for one team than the other? Explain.\newline282282 Big Ideas Math: Modeling Real Life Grade 77\newlineCopyright extcopyright{} Big\newlineResources by Chapter
  1. Analyze Box-and-Whisker Plot: To determine if one team scores significantly more points per game than the other, we need to analyze the double box-and-whisker plot. The plot will show us the distribution of points scored per game for each team over the 2020-game season. We will look at the median, quartiles, and range of the data for each team.
  2. Identify Median: First, identify the median (the middle value) for each team from the box-and-whisker plot. The median is the line inside the box. Compare the two medians to see which team has a higher median score.
  3. Compare Medians: Next, look at the quartiles for each team, which are the edges of the box in the box-and-whisker plot. The quartiles show the spread of the middle 50%50\% of the data. Compare the quartiles to see if one team's middle 50%50\% of scores is consistently higher than the other's.
  4. Examine Quartiles: Then, examine the range of scores for each team, which is indicated by the ＂whiskers＂ or the lines extending from the box to the highest and lowest values. This will show us the variability in the scores for each team. A larger range might indicate less consistency in scoring.
  5. Analyze Range: Finally, consider any outliers that may be present. Outliers are data points that are significantly higher or lower than the rest of the data and are usually indicated by dots or asterisks on the plot. Outliers can affect the average and make one team seem like they score more or less than they typically do.
  6. Consider Outliers: After analyzing the median, quartiles, range, and outliers, we can conclude whether one team scores significantly more points per game than the other. If one team's median and quartiles are higher, and the range does not show greater inconsistency, then we can say that team scores more points per game.

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