1. **Problem Statement:** We need to determine which box plots correctly display the given data sets. 2. **Recall Box Plot Components:** A box plot shows minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values. Outliers are points outside the whiskers. 3. **Analyze First Group of Data and Box Plots:** - Data 1: 15, 18, 24, 27, 20, 15, 12 Sorted: 12, 15, 15, 18, 20, 24, 27 Min=12, Max=27 Median (Q2) = 18 Q1 = 15, Q3 = 24 - Box plot 1: line 10 to 30, box 15 to 20, median 20, min outlier 15, max 25 This does not match data 1 because median is 18, not 20, and max is 27, not 25. - Box plot 2: line 10 to 30, box 15 to 20, median 20, min 15, max 30 Median and max do not match data 1. - Box plot 3: line 10 to 30, box 15 to 25, median 20, min outlier 15, max outlier 30 Median and max do not match data 1. - Box plot 4: smaller box, median between values, data 22, 22, 26, 25, 23, 21, 20 This matches the fourth data set, not the first. 4. **Analyze Second Group of Data and Box Plots:** - Data 1: 22, 22, 26, 25, 23, 21, 20 Sorted: 20, 21, 22, 22, 23, 25, 26 Min=20, Max=26 Median=22 Q1=21, Q3=25 - Box plot 1 (middle): box 22 to 25, median 25 Median does not match data 1 (should be 22). - Data 2: 13, 12, 12, 25, 18, 26, 10 Sorted: 10, 12, 12, 13, 18, 25, 26 Min=10, Max=26 Median=13 Q1=12, Q3=25 - Box plot 2 (center): box 12 to 26, median 25 Median does not match data 2 (should be 13). - Data 3: 18, 22, 11, 25, 29, 27, 28 Sorted: 11, 18, 22, 25, 27, 28, 29 Min=11, Max=29 Median=25 Q1=18, Q3=28 - Box plot 3 (bottom): box 22 to 27, median 25 Box does not match Q1 and Q3 (should be 18 to 28). 5. **Conclusion:** None of the box plots perfectly match the data sets given. The closest matches are: - First group: none exactly correct. - Second group: box plot 3 matches median but box range is off. **Final answer:** No box plots correctly display the data sets exactly as given.