https://file.aiquickdraw.com/mathbot/file/1726249913336cmpt9z0s.jpg

Let's analyze the stem-and-leaf plot from the image and solve the problem:

### Stem-and-Leaf Plot:
- Stem (Tens place) | Leaves (Ones place)
  - 0 | 0 0 5 8
  - 1 | 2 3 5 8 9
  - 2 | 4 6 7 7 7
  - 3 | 3 5 5 6
  - 4 | 2 4
  - 5 | 7

Each value is formed by combining the stem (tens) with the leaf (ones).

So the numbers of pages read by students are:  
00, 00, 05, 08, 12, 13, 15, 18, 19, 24, 26, 27, 27, 27, 33, 35, 35, 36, 42, 44, 57.

### Question: "75% of students read less than how many pages?"

We need to find the 75th percentile in this data set.

#### Steps:
1. **Total number of students**: There are 21 data points (since each value represents a student).
2. **Determine the position of the 75th percentile**:
   \[
   P_{75} = \left( \frac{75}{100} \right) \times 21 = 15.75
   \]
   We round this to the 16th position.
   
3. **Find the 16th data point**: 
   Sorting the dataLet's analyze the stem-and-leaf plot from the image and solve the problem:

### Stem-and-Leaf Plot:
- Stem (Tens place) | Leaves (Ones place)
  - 0 | 0 0 5 8
  - 1 | 2 3 5 8 9
  - 2 | 4 6 7 7 7
  - 3 | 3 5 5 6
  - 4 | 2 4
  - 5 | 7

Each value is formed by combining the stem (tens) with the leaf (ones).

So the numbers of pages read by students are:  
00, 00, 05, 08, 12, 13, 15, 18, 19, 24, 26, 27, 27, 27, 33, 35, 35, 36, 42, 44, 57.

### Question: "75% of students read less than how many pages?"

We need to find the 75th percentile in this data set.

#### Steps:
1. **Total number of students**: There are 21 data points (since each value represents a student).
2. **Determine the position of the 75th percentile**:
   \[
   P_{75} = \left( \frac{75}{100} \right) \times 21 = 15.75
   \]
   We round this to the 16th position.
   
3. **Find the 16th data point**: 
   Sorting the  
   \[
   00, 00, 05, 08, 12, 13, 15, 18, 19, 24, 26, 27, 27, 27, 33, 35, 35, 36, 42, 44, 57
   \]
   The 16th value is **35**.

So, **75% of students read less than 35 pages**.

### Answer: **35 pages**.

Would you like more details on this explanation or any further clarifications?

Here are 5 related questions to expand on this:
1. How is a stem-and-leaf plot used to organize data?
2. How do you calculate percentiles in a data set?
3. What is the difference between the mean, median, and mode?
4. How can you use a box plot to visualize percentiles?
5. How does the range of a data set help in understanding data distribution?

**Tip**: Always remember to sort data before calculating percentiles!

According to the stem-and-leaf plot, 75% of students read less than how many pages?

This problem uses a stem-and-leaf plot to determine the 75th percentile of pages read by students. With a total of 21 students, the 16th value in the sorted data set is 35, meaning 75% of students read less than 35 pages. Suitable for students in Grades 9-11.

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