1. **State the problem:** We are given two box plots representing the number of green candies in Mr. Maha's and Ms. Tripp's classes. We need to find the median, first quartile (Q1), third quartile (Q3), and interquartile range (IQR) for each class, and then find the difference between their IQRs.
2. **Recall definitions and formulas:**
- Median is the middle value of the data.
- Q1 (first quartile) is the median of the lower half of the data.
- Q3 (third quartile) is the median of the upper half of the data.
- IQR = Q3 - Q1.
3. **Extract values from the box plots:**
- Mr. Maha's class:
- Median = 7
- Q1 = 5
- Q3 = 8
- Ms. Tripp's class:
- Median = 6
- Q1 = 5
- Q3 = 9
4. **Calculate the IQRs:**
- Mr. Maha's IQR = $8 - 5 = 3$
- Ms. Tripp's IQR = $9 - 5 = 4$
5. **Find the difference in their IQRs:**
$$\text{Difference} = 4 - 3 = 1$$
**Final answers:**
- Maha's Median = 7
- Tripp's Median = 6
- Maha's Q3 = 8
- Tripp's Q3 = 9
- Maha's Q1 = 5
- Tripp's Q1 = 5
- Maha's IQR = 3
- Tripp's IQR = 4
- Difference in IQRs = 1
Green Candies 2E55B3
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