Question

The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.

A box-and-whisker plot. The number line goes from 20 to 80. The whiskers range from 25 to 70, and the box ranges from 40 to 55. A line divides the box at 50.

A bar graph titled Minutes spent reading. 4 students spent 25 to 34 minutes; 4 spent 35 to 44; 6 spent 45 to 54; 4 spent 55 to 64; 2 spent 65 to 74.

Which statements best describe the box plot or histogram? Check all that apply.
Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45.
Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.
Referring to the box plot, the median of the data is 50.
Referring to the histogram, the median of the data is 49.5.
The range of the data can be found using the box plot.
The range of the data can be found using the histogram.

Answer 1

Let's analyze each statement based on the provided information about the box plot and histogram.

1. **Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45.**
- **False.** The box plot provides a representation of the data, but it does not indicate the total number of students surveyed. The range provided does not indicate student count directly.

2. **Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.**
- **True.** This is a correct calculation of the total number of students based on the frequencies shown in the histogram.

3. **Referring to the box plot, the median of the data is 50.**
- **True.** The line dividing the box in the box plot indicates the median, which is stated to be at 50.

4. **Referring to the histogram, the median of the data is 49.5.**
- **True.** To find the median using the histogram, you need to consider the cumulative frequency. The 10th student is in the 45-54 range, meaning the median would fall somewhere between the 45 and 54 range. Given there are 20 students in total, the median can be approximated as falling around 49.5.

5. **The range of the data can be found using the box plot.**
- **True.** The range can be calculated using the minimum and maximum values indicated in the box plot. The range in this case is 70 (maximum) - 25 (minimum) = 45.

6. **The range of the data can be found using the histogram.**
- **False.** While you can determine frequency distributions from the histogram, the exact minimum and maximum values are not explicitly provided. Therefore, you cannot accurately determine the range from the histogram alone without further information.

### Summary of True Statements:
- The second statement is true.
- The third statement is true.
- The fourth statement is true.
- The fifth statement is true.

### True Statements:
- Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.
- Referring to the box plot, the median of the data is 50.
- Referring to the histogram, the median of the data is 49.5.
- The range of the data can be found using the box plot.