Select all the correct locations on the histogram.

Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in the following table:

\begin{tabular}{|c|c|}
\hline
Number of books & Number of students \\
\hline
[tex]$0-1$[/tex] & 9 \\
\hline
[tex]$2-3$[/tex] & 8 \\
\hline
[tex]$4-5$[/tex] & 2 \\
\hline
[tex]$6-7$[/tex] & 5 \\
\hline
[tex]$8-9$[/tex] & 3 \\
\hline
\end{tabular}

Emmett created the following histogram from the data, but he made mistakes while constructing it. Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.

Question

13-08-2024
Mathematics

Answered

Select all the correct locations on the histogram.

Emmett surveyed his class about the number of books his classmates read over the summer. The results of his survey are shown in the following table:

\begin{tabular}{|c|c|}
\hline
Number of books & Number of students \\
\hline
[tex]$0-1$[/tex] & 9 \\
\hline
[tex]$2-3$[/tex] & 8 \\
\hline
[tex]$4-5$[/tex] & 2 \\
\hline
[tex]$6-7$[/tex] & 5 \\
\hline
[tex]$8-9$[/tex] & 3 \\
\hline
\end{tabular}

Emmett created the following histogram from the data, but he made mistakes while constructing it. Select the parts of the histogram that Emmett needs to fix for the histogram to accurately represent the data in the table.

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-08-13T03:16:49-04:00

To construct and assess the accuracy of Emmett's histogram, we need to ensure that the number of students for each range of books is represented correctly according to the given table. Here are the necessary steps to identify and fix any errors:

1. Understand the Data:
- The data is provided in the form of a table showing the number of books read and the number of students in each range.
- The table data is:
- 0-1 books: 9 students
- 2-3 books: 8 students
- 4-5 books: 2 students
- 6-7 books: 5 students
- 8-9 books: 3 students

2. Check the Histogram Bins:
- The bins in the histogram should reflect the ranges provided in the table.
- Each bin should have the correct height (i.e., number of students) based on the data ranges.

3. Compare the Histogram to the Data:
- Each bin on the histogram needs to be checked against the corresponding value from the table to identify any discrepancies.

Detailed Instructions for Each Range:

1. 0-1 Books:
- The histogram bin for the 0-1 books range should show a height corresponding to 9 students.
- If the current histogram bin does not show 9 students, this bin needs to be corrected.

2. 2-3 Books:
- The histogram bin for the 2-3 books range should show a height corresponding to 8 students.
- If this is not the case, this bin needs to be corrected.

3. 4-5 Books:
- The histogram bin for the 4-5 books range should show a height corresponding to 2 students.
- If this bin does not show 2 students, it needs to be corrected.

4. 6-7 Books:
- The histogram bin for the 6-7 books range should show a height corresponding to 5 students.
- Any deviation from this number would require correction in the bin's height.

5. 8-9 Books:
- The histogram bin for the 8-9 books range should show a height corresponding to 3 students.
- If the bin height does not match 3 students, this needs to be corrected.

Summary:
You have to visually inspect each bin in the histogram against the table data provided for the number of books read. The correct heights of the bins should be:
- 0-1 range: 9 students,
- 2-3 range: 8 students,
- 4-5 range: 2 students,
- 6-7 range: 5 students,
- 8-9 range: 3 students.

By verifying these points in Emmett's histogram, we can identify the parts that are incorrect and adjust them to ensure the histogram accurately represents the data from the survey.