1. **State the problem:** We need to determine which data set matches the given box plot. 2. **Recall box plot components:** A box plot shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. 3. **Analyze the box plot:** - Minimum (left whisker) is about 16. - Maximum (right whisker) is about 28. - The box extends from about 18 (Q1) to 26 (Q3). - The median is near 22. 4. **Check each data set:** - Calculate min, Q1, median, Q3, max for each. **Set A:** 16,16,16,20,21,23,23,25,26,28,28,28 - Sorted: same - Min = 16 - Max = 28 - Median (middle two values 23,23) = 23 - Q1 (median of first half): median of 16,16,16,20,21,23 = between 16 and 20 = 18 - Q3 (median of second half): median of 23,25,26,28,28,28 = between 26 and 28 = 27 - Median 23 is higher than box plot median ~22, Q3 27 higher than box plot Q3 26 **Set B:** 16,16,16,20,21,21,23,25,26,26,28,28 - Min = 16 - Max = 28 - Median (middle two values 23,25) = 24 - Q1 median of 16,16,16,20,21,21 = between 16 and 20 = 18 - Q3 median of 25,26,26,28,28,28 = between 26 and 26 = 26 - Median 24 is higher than box plot median ~22 **Set C:** 15,16,16,20,21,21,23,25,26,26,28,28 - Min = 15 (box plot min ~16, so no) **Set D:** 16,16,16,16,21,23,23,25,26,26,28,28 - Min = 16 - Max = 28 - Median (middle two values 23,23) = 23 - Q1 median of 16,16,16,16,21,23 = between 16 and 16 = 16 - Q3 median of 23,25,26,26,28,28 = between 26 and 26 = 26 - Median 23 higher than box plot median ~22, Q1 16 lower than box plot Q1 18 5. **Conclusion:** Set A best matches the box plot with min 16, max 28, Q1 ~18, Q3 ~27, median 23 close to 22. **Final answer:** Set A