1. **State the problem:** We are given the data set representing the number of customers at Slurpee Sam's Spaghetti Shop: 24, 25, 29, 30, 31, 31, 32, 34, 34.
2. **Find the five-number summary:** This includes the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
- Minimum = 24
- Maximum = 34
3. **Find the median (Q2):** Since there are 9 data points (odd number), the median is the middle value when data is sorted.
Sorted data: 24, 25, 29, 30, 31, 31, 32, 34, 34
Median (5th value) = 31
4. **Find Q1:** Median of the lower half (first 4 values: 24, 25, 29, 30)
Q1 = average of 2nd and 3rd values = \frac{25 + 29}{2} = \frac{54}{2} = 27
5. **Find Q3:** Median of the upper half (last 4 values: 31, 32, 34, 34)
Q3 = average of 2nd and 3rd values = \frac{32 + 34}{2} = \frac{66}{2} = 33
6. **Summary:**
- Minimum = 24
- Q1 = 27
- Median = 31
- Q3 = 33
- Maximum = 34
7. **Compare with box plot options:**
- Option A: whiskers 24 to 34, box 27 to 33, median 31
- Option B: whiskers 24 to 34, box 29 to 32, median 31
- Option C: whiskers 24 to 34, box 27 to 33, median 31
Option A and C have the correct box from 27 to 33 and median 31.
8. **Check the median in option C:** It says median near 32, but our median is 31.
Therefore, **Option A** correctly summarizes the data.
**Final answer:** Option A
Box Plot Summary Ec8972
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