Question
Deion surveyed a sample of 20 classmates about their TV viewing habits, asking them to track the number of hours they spent watching movies and sports for a week. The results are recorded in the box plots.
Time (hours)
Movies
Sports
0
4
8
12
16
20
Complete the table.
Median Interquartile range
Movies
Sports 6 8
Time (hours)
Movies
Sports
0
4
8
12
16
20
Complete the table.
Median Interquartile range
Movies
Sports 6 8
Answers
GPT-4o mini
To complete the table for the median and interquartile range (IQR) of movie and sports viewing hours based on the given box plots, let's explain how to find these statistical measures.
1. **Median:** The median is the middle value of a data set when it is ordered from least to greatest. In a box plot, the median is represented by the line inside the box.
2. **Interquartile Range (IQR):** The IQR is the difference between the upper quartile (Q3) and the lower quartile (Q1) and it measures the middle 50% of the data. In a box plot, Q1 and Q3 are represented by the edges of the box.
Given the values you provided (assuming the sports IQR is 8, though you didn't give the Q1 and Q3 values for sports, just the IQR), we can reason out that:
- **Sports:**
- Median = 6
- IQR = 8 (this means Q3 - Q1 = 8)
Now, we need to determine the corresponding values for movies. Without the box plot values, we can only speculate. However, if we assume that you are looking for common values, the IQR typically includes values for both Q1 and Q3.
### Example of completing the table:
- Assuming the median for movies is, for example, 12 (you would get this from the box plot) and the IQR is something like 6 (showing a Q3 of 18 and a Q1 of 12):
| | Median | Interquartile Range |
|--------------|--------|----------------------|
| Movies | 12 | 6 |
| Sports | 6 | 8 |
This is just an illustrative example. You should refer to the specific box plots for accurate values. If you have the specific data or ranges for movies (like Q1 and Q3), you would be able to adjust those figures accordingly.
1. **Median:** The median is the middle value of a data set when it is ordered from least to greatest. In a box plot, the median is represented by the line inside the box.
2. **Interquartile Range (IQR):** The IQR is the difference between the upper quartile (Q3) and the lower quartile (Q1) and it measures the middle 50% of the data. In a box plot, Q1 and Q3 are represented by the edges of the box.
Given the values you provided (assuming the sports IQR is 8, though you didn't give the Q1 and Q3 values for sports, just the IQR), we can reason out that:
- **Sports:**
- Median = 6
- IQR = 8 (this means Q3 - Q1 = 8)
Now, we need to determine the corresponding values for movies. Without the box plot values, we can only speculate. However, if we assume that you are looking for common values, the IQR typically includes values for both Q1 and Q3.
### Example of completing the table:
- Assuming the median for movies is, for example, 12 (you would get this from the box plot) and the IQR is something like 6 (showing a Q3 of 18 and a Q1 of 12):
| | Median | Interquartile Range |
|--------------|--------|----------------------|
| Movies | 12 | 6 |
| Sports | 6 | 8 |
This is just an illustrative example. You should refer to the specific box plots for accurate values. If you have the specific data or ranges for movies (like Q1 and Q3), you would be able to adjust those figures accordingly.