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The box plots below represent the distribution of Bruce’s daily television-viewing hours during his summer vacation and the following fall semester. What is the difference between the median number of hours for the summer and the fall semester?

To determine the difference between the median number of hours for Bruce’s daily television-viewing during the summer vacation and the fall semester, we can analyze the box plots provided.

### Step 1: Identify the median values
- **Summer Vacation:** The median is represented by the line inside the box of the upper box plot. It appears to be at 4 hours.
- **Fall Semester:** The median is represented by the line inside the box of the lower box plot. It appears to be at 2 hours.

### Step 2: Calculate the difference between the medians
- The difference between the median number of hours for the summer vacation and the fall semester is:

\[
\text{Difference} = 4 \text{ hours} - 2 \text{ hours} = 2 \text{ hours}
\]

### Final Answer:
The difference between the median number of hours for the summer and the fall semester is **2 hours**.

Would you like any further details or have any questions?

Here are some related questions:
1. What do the whiskers in a box plot represent?
2. How is the interquartile range (IQR) calculated from a box plot?
3. What conclusions can be drawn from the spread of data in the box plots?
4. How can outliers be identified in a box plot?
5. What other measures of central tendency can be used in this context?
6. How might the difference in medians affect Bruce's study habits?
7. What is the significance of the range in each box plot?
8. How can box plots be used to compare distributions?

**Tip:** When comparing distributions using box plots, look at both the median and the spread (range, IQR) to get a full picture of how the data sets differ.

Explore the difference between the median number of hours Bruce spent on television-viewing during his summer vacation and fall semester using box plots. Learn how to interpret box plots and calculate medians with a step-by-step explanation.

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