Question

the results of a schools drama club fundraiser are displayed in the double line graph shown. 4. reasoning which product had more variability in their sales? would your answer change if wrapping paper sales on day 4 were $200? explain. 5. if the drama club wanted to compare overall wrapping paper sales of the 7th graders to the 8th graders, would a back - to - back stem - and - leaf plot work better than a double line graph to display the data? explain.

Explanation:

Step1: Analyze variability from graph

By observing the double - line graph, the line for wrapping paper has a steeper rise and fall compared to gift cards, indicating more variability. The range of gift - card sales is approximately \(175 - 25=150\), and for wrapping paper, it is approximately \(250 - 50 = 200\).

Step2: Consider change in wrapping - paper sales on day 4

If wrapping - paper sales on day 4 were \(\$200\), the range would be \(250 - 50=200\) (unchanged in terms of the general spread concept), and the line would still be more fluctuating than that of gift cards. So, wrapping paper still has more variability.

Step3: Evaluate data - display for 7th and 8th graders' wrapping - paper sales

A back - to - back stem - and - leaf plot is better for comparing the distribution of two data sets (7th and 8th graders' sales). It shows the individual data values and their frequency, while a double line graph is better for showing trends over time. For comparing the overall sales distribution between two groups, the stem - and - leaf plot gives more detailed information about the data values and their spread within each group.

Answer:

1. Wrapping paper had more variability in sales. The answer would not change if wrapping - paper sales on day 4 were \(\$200\) because the overall spread and fluctuation of wrapping - paper sales are still greater than those of gift cards.
2. A back - to - back stem - and - leaf plot would work better. It shows individual data values and their frequency, providing more detailed information about the distribution of 7th and 8th graders' wrapping - paper sales compared to a double line graph which is more suitable for showing trends over time.