Apply6. The table shows the number of points scored by the seventh and eighth grade girls basketball teams in each of their games this season. Construct a double box plot to represent the data for each team. Then use the double box plot to compare the data.\begin{tabular}{|c|c|c|c|c|c|c|c|}\hline \multicolumn{4}{|c|}{ Points Scored per Game } \\\hline \multicolumn{3}{|c|}{ Seventh Grade Team } & \multicolumn{4}{|c|}{ Eighth Grade Team } \\\hline 39 & 36 & 40 & 27 & 34 & 36 & 47 & 40 \\\hline 35 & 29 & 36 & 29 & 39 & 38 & 45 & 43 \\\hline 31 & 38 & 30 & 34 & 42 & 41 & 45 & 42 \\\hline\end{tabular}
Q. Apply6. The table shows the number of points scored by the seventh and eighth grade girls basketball teams in each of their games this season. Construct a double box plot to represent the data for each team. Then use the double box plot to compare the data.\begin{tabular}{|c|c|c|c|c|c|c|c|}\hline \multicolumn{4}{|c|}{ Points Scored per Game } \\\hline \multicolumn{3}{|c|}{ Seventh Grade Team } & \multicolumn{4}{|c|}{ Eighth Grade Team } \\\hline 39 & 36 & 40 & 27 & 34 & 36 & 47 & 40 \\\hline 35 & 29 & 36 & 29 & 39 & 38 & 45 & 43 \\\hline 31 & 38 & 30 & 34 & 42 & 41 & 45 & 42 \\\hline\end{tabular}
Organize Data: First, we need to organize the data for each team in ascending order to prepare for constructing the box plots.Seventh Grade Team in ascending order: 31,34,35,36,39,40,42,47Eighth Grade Team in ascending order: 27,29,29,34,36,38,40,41,42,43,45,45
Find Medians: Next, we find the median (the middle value) for each team's data. If there is an even number of data points, the median will be the average of the two middle numbers.Seventh Grade Team median: (36+39)/2=37.5Eighth Grade Team median: (38+40)/2=39
Determine Quartiles: Now, we determine the lower quartile (Q1, the median of the lower half of the data) and the upper quartile (Q3, the median of the upper half of the data) for each team.Seventh Grade Team Q1: (34+35)/2=34.5Seventh Grade Team Q3: (40+42)/2=41Eighth Grade Team Q1: (29+34)/2=31.5Eighth Grade Team Q3: (42+43)/2=42.5
Identify Extremes: Identify the minimum and maximum values for each team's data.Seventh Grade Team minimum: 31, maximum: 47Eighth Grade Team minimum: 27, maximum: 45
Construct Box Plot: With the five-number summary (minimum, Q1, median, Q3, maximum) for each team, we can now construct the double box plot.
Compare Team Data: After constructing the double box plot, we can compare the data for each team. We look at the range, interquartile range (IQR), median, and any potential outliers to compare the performance of the two teams.
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