Subjects statistics

Iqr Comparison Fd8B79

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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.**