1. The problem asks to determine the shape of the distribution based on the box-and-whisker plot for the change in cost of tuition, dormitory, and meal plan.
2. Important rules for interpreting boxplots:
- If the median is closer to the lower quartile and the upper whisker is longer, the distribution is right-skewed.
- If the median is closer to the upper quartile and the lower whisker is longer, the distribution is left-skewed.
- If the median is near the center of the box and whiskers are roughly equal, the distribution is symmetrical.
3. From the description:
- Left whisker near 300
- Right whisker near 2300
- Box from about 600 to 1400
- Median near 900
4. The median (900) is closer to the lower quartile (600) than the upper quartile (1400).
5. The right whisker (2300 - 1400 = 900) is longer than the left whisker (600 - 300 = 300).
6. This indicates the distribution has a longer tail on the right side, meaning it is right-skewed.
7. Final answer: The distribution of the change in cost is **right-skewed**.
Distribution Shape B9C588
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