Question: Megan attends an online school. As part of a math project, she kept track of how many hours she spent at her computer each school day. This box plot shows the results.
Time spent at computer (hr.)
What fraction of the time did Megan spend between 4 and 6 hours at her computer?
1. **State the problem:** We need to find the fraction of time Megan spent between $4$ and $6$ hours on her computer based on the box plot.
2. **Understand the box plot:** The box plot shows:
- Minimum (left whisker) at $3$ hours
- First quartile (start of box) at $4$ hours
- Median (middle line in box) at $5$ hours
- Third quartile (end of box) at $6$ hours
- Maximum (right whisker) at $8$ hours
3. **Recall box plot quartiles:**
- The box represents the interquartile range (IQR), which is the middle $50\%$ of the data.
- The box extends from the first quartile ($Q_1$) to the third quartile ($Q_3$).
4. **Identify the fraction:**
- Since the box spans from $4$ to $6$ hours, the fraction of time Megan spent between $4$ and $6$ hours is the interquartile range fraction.
- This fraction is $\frac{Q_3 - Q_1}{\text{total range}}$ but for box plots, the fraction of data between $Q_1$ and $Q_3$ is always $50\%$ or $\frac{1}{2}$.
5. **Final answer:**
- Megan spent $\boxed{\frac{1}{2}}$ of the time between $4$ and $6$ hours at her computer.