1. **State the problem:** Find the five number summary for the data set and create a boxplot. 2. **Five number summary includes:** minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. 3. **Given data set:** 5.0, 5.1, 5.2, 5.2, 5.3, 5.4, 5.5, 5.5, 5.6, 5.6, 5.7, 5.8, 5.9, 6.0, 6.2, 6.3, 6.5, 6.8, 7.0, 7.2, 7.5, 7.8, 8.3, 8.9 4. **Calculate minimum and maximum:** - Minimum = 5.0 - Maximum = 8.9 5. **Calculate quartiles:** - Q1 (first quartile) = 5.1 (given) - Q2 (median) = 6.0 (given) - Q3 (third quartile) = 7.8 (given) 6. **Five number summary:** $$\text{Minimum} = 5.0, \quad Q1 = 5.1, \quad Q2 = 6.0, \quad Q3 = 7.8, \quad \text{Maximum} = 8.9$$ 7. **Boxplot description:** - Draw a number line from minimum to maximum. - Draw a box from Q1 to Q3. - Draw a vertical line inside the box at the median Q2. - Draw whiskers from minimum to Q1 and from Q3 to maximum. This visually shows the spread and center of the data. **Final answer:** The five number summary is minimum 5.0, Q1 5.1, median 6.0, Q3 7.8, and maximum 8.9.