1. The problem asks to describe the interquartile ranges (IQR) of male and female grades in a math class based on box plots. 2. The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1): $$\text{IQR} = Q3 - Q1$$ 3. From the description: - Females' box plot spans about 72 to 85, so $Q1 \approx 72$ and $Q3 \approx 85$. - Males' box plot spans about 70 to 85, so $Q1 \approx 70$ and $Q3 \approx 85$. 4. Calculate the IQR for females: $$\text{IQR}_{female} = 85 - 72 = 13$$ 5. Calculate the IQR for males: $$\text{IQR}_{male} = 85 - 70 = 15$$ 6. Interpretation: - The males have a slightly larger interquartile range (15) compared to females (13). - This means the middle 50% of male grades are spread out over a wider range than females. 7. Both medians are near 80, so central tendency is similar, but males show more variability in the middle 50% of grades. Final answer: The interquartile range for males is slightly larger than for females, indicating more spread in the middle 50% of male grades.