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
line graph 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
line graph 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
To determine the most appropriate representation for showing the relationship between the number of chapters and the total pages of a book, we should consider the nature of the data.
A scatter plot is generally the best way to display the relationship between two numerical variables, such as the number of chapters (x-axis) and the total pages (y-axis). It allows for easy visualization of any correlation between the two variables.
A line graph, on the other hand, is used for showing trends over time or ordered sequences, which is not applicable in this case since the books are not sequentially dependent on their chapters.
Given the options presented, the scatter plot is the better choice, and since the ranges on the axes should encompass all the data points while also being easy to read, the ideal choice among the scatter plots listed would be:
**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 the coordinates given.**
This representation focuses on the data range that is most relevant while providing a clear visualization of the relationship between the two variables without unnecessary extra space on the axes like the other options with extended ranges.
A scatter plot is generally the best way to display the relationship between two numerical variables, such as the number of chapters (x-axis) and the total pages (y-axis). It allows for easy visualization of any correlation between the two variables.
A line graph, on the other hand, is used for showing trends over time or ordered sequences, which is not applicable in this case since the books are not sequentially dependent on their chapters.
Given the options presented, the scatter plot is the better choice, and since the ranges on the axes should encompass all the data points while also being easy to read, the ideal choice among the scatter plots listed would be:
**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 the coordinates given.**
This representation focuses on the data range that is most relevant while providing a clear visualization of the relationship between the two variables without unnecessary extra space on the axes like the other options with extended ranges.