1. **State the problem:** We have a data set of leftover cupcakes: 16, 31, 12, 28, 28, 20, 22, 22, 32, 16, 14, 25. 2. **Goal:** Determine which box plot correctly represents this data. 3. **Step 1: Order the data from least to greatest:** $$12, 14, 16, 16, 20, 22, 22, 25, 28, 28, 31, 32$$ 4. **Step 2: Find the minimum and maximum values:** Minimum = 12 Maximum = 32 5. **Step 3: Find the median (Q2):** There are 12 data points, so median is average of 6th and 7th values: $$\frac{22 + 22}{2} = 22$$ 6. **Step 4: Find the first quartile (Q1):** Lower half (first 6 values): 12, 14, 16, 16, 20, 22 Median of lower half is average of 3rd and 4th values: $$\frac{16 + 16}{2} = 16$$ 7. **Step 5: Find the third quartile (Q3):** Upper half (last 6 values): 22, 25, 28, 28, 31, 32 Median of upper half is average of 3rd and 4th values: $$\frac{28 + 28}{2} = 28$$ 8. **Summary:** Minimum = 12 Q1 = 16 Median = 22 Q3 = 28 Maximum = 32 9. **Interpretation:** The box plot should have whiskers at 12 and 32, a box from 16 to 28, and a median line at 22. 10. **Conclusion:** The bottom box plot matches these values. **Final answer:** The bottom box plot represents the data.