Question
Jordan compared 10 books at the school library. The following table shows the number of chapters and the total number of pages for each book.
Number of Chapters 1 5 6 8 10 11 13 15 17 20
Total Pages 13 48 67 85 86 135 128 162 170 215
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
Number of Chapters 1 5 6 8 10 11 13 15 17 20
Total Pages 13 48 67 85 86 135 128 162 170 215
Which of the following representations is most appropriate to show the relationship between the number of chapters and the total pages of a book?
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
line graph titled school library, with the x axis labeled number of chapters ranging from 0 to 38 and the y axis labeled total pages ranging from 0 to 450 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
scatter plot titled school library, with the x axis labeled number of chapters ranging from 0 to 20 and the y axis labeled total pages ranging from 0 to 275 with points at 1 comma 13, 5 comma 48, 6 comma 67, 8 comma 85, 10 comma 86, 11 comma 135, 13 comma 128, 15 comma 162, 17 comma 170, and 20 comma 215
Answers
GPT-4o mini
The most appropriate representation to show the relationship between the number of chapters and the total pages of a book is a **scatter plot**. A scatter plot is ideal for illustrating the relationship between two numerical variables, in this case, "number of chapters" and "total pages."
Among the options provided, there are two scatter plots:
1. The first scatter plot has the x-axis labeled with a range from 0 to 38 and the y-axis from 0 to 450.
2. The second scatter plot has the x-axis labeled with a range from 0 to 20 and the y-axis from 0 to 275.
The first scatter plot has a wider range on both axes than necessary for the data points presented. Although it can show all points, it has a larger scale than the data warrants.
The second scatter plot includes the relevant range for both the number of chapters and total pages, allowing for a clearer visualization of the relationship without excessive empty space.
Therefore, the **third option**, which is the scatter plot with the x-axis labeled from 0 to 20 and the y-axis from 0 to 275, would be the most appropriate choice.
Among the options provided, there are two scatter plots:
1. The first scatter plot has the x-axis labeled with a range from 0 to 38 and the y-axis from 0 to 450.
2. The second scatter plot has the x-axis labeled with a range from 0 to 20 and the y-axis from 0 to 275.
The first scatter plot has a wider range on both axes than necessary for the data points presented. Although it can show all points, it has a larger scale than the data warrants.
The second scatter plot includes the relevant range for both the number of chapters and total pages, allowing for a clearer visualization of the relationship without excessive empty space.
Therefore, the **third option**, which is the scatter plot with the x-axis labeled from 0 to 20 and the y-axis from 0 to 275, would be the most appropriate choice.