In order to create an accurate histogram based on Emmett's survey data, we need to ensure that the number of students in each bin correctly corresponds to the ranges provided in the table. Each range must be properly represented on the histogram as follows:
[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]
Here's a step-by-step solution to correctly identify the parts of the histogram that need fixing:
1. Range 0-1: The number of students who read 0-1 books is 9.
2. Range 2-3: The number of students who read 2-3 books is 8.
3. Range 4-5: The number of students who read 4-5 books is 2.
4. Range 6-7: The number of students who read 6-7 books is 5.
5. Range 8-9: The number of students who read 8-9 books is 3.
To fix the histogram:
1. Range 0-1: Check the bin representing students who read 0-1 books. This bin should have a height corresponding to 9 students.
2. Range 2-3: Check the bin representing students who read 2-3 books. This bin should have a height corresponding to 8 students.
3. Range 4-5: Ensure the bin representing students who read 4-5 books is showing 2 students.
4. Range 6-7: The bin representing students who read 6-7 books should show 5 students.
5. Range 8-9: Finally, the bin for students who read 8-9 books should correspond to 3 students.
These adjustments will yield a histogram with the following heights for each range:
- 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
Review each bin on the histogram and adjust the heights to match these numbers to correctly represent the data from the table.
