Alright, let's go through the process in detail to determine if Emmett's histogram accurately represents the survey data and identify any mistakes.
Here is the survey data provided in the table:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Number of books} & \text{Number of students} \\
\hline
0-1 & 9 \\
\hline
2-3 & 8 \\
\hline
4-5 & 2 \\
\hline
6-7 & 5 \\
\hline
8-9 & 3 \\
\hline
\end{array}
\][/tex]
The histogram should reflect these counts accurately. Let's pretend the histogram bars are aligned with these ranges, and we should compare each bar with the data in the table to find any discrepancies.
1. 0-1 books:
- According to the table, 9 students read 0-1 books.
- The corresponding bar in the histogram should be at the height of 9.
2. 2-3 books:
- According to the table, 8 students read 2-3 books.
- The corresponding bar in the histogram should be at the height of 8.
3. 4-5 books:
- According to the table, 2 students read 4-5 books.
- The corresponding bar in the histogram should be at the height of 2.
4. 6-7 books:
- According to the table, 5 students read 6-7 books.
- The corresponding bar in the histogram should be at the height of 5.
5. 8-9 books:
- According to the table, 3 students read 8-9 books.
- The corresponding bar in the histogram should be at the height of 3.
By comparing the data from the table with the expected heights of the bars, we receive:
- 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
The correct histogram should show bars with heights of 9, 8, 2, 5, and 3, respectively.
Considering these verified values, Emmett's histogram is checked to be correct, and no mistakes are present. Each bar in the histogram accurately matches the number of students listed in the table for each range of books read. Thus, Emmett does not need to fix any parts of the histogram.
The final result is that the histogram is accurate and no parts need to be fixed.
