1. The problem asks to analyze the interquartile ranges (IQR) of male and female grades from the box plots.
2. The interquartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$):
$$\text{IQR} = Q_3 - Q_1$$
3. Important rules:
- The IQR measures the spread of the middle 50% of the data.
- It is not affected by outliers.
- Skewness affects the shape of the box plot but not the IQR directly.
4. From the description:
- The male IQR is compared to the female IQR.
- The male IQR is said to be skewed left due to a high outlier (which is contradictory because a high outlier would skew right).
- The male IQR is larger than the female IQR.
- The male IQR cannot be inaccurate due to missing quartiles because quartiles are always defined.
5. Conclusion:
- The best description is that the interquartile range for males is larger than the interquartile range for females.
Final answer:
**The interquartile range for males is larger than the interquartile range for females.**
Iqr Comparison Fd8B79
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