Question

which of the following statements are true? check all of the boxes that apply.
□ the female dog graph is skewed.
□ the range for female dogs is much larger than the range for male dogs.
□ the female dog data is best represented by the median.
□ the female dog data is less skewed than the male dog data.
done
(box - and - whisker plots for male dogs (red) and female dogs (blue) with weight (lb.) on the x - axis from 40 to 100)

Explanation:

1. The female dog graph is skewed: The box plot for female dogs has a much longer whisker on the right (upper end) than the left, with the box shifted left relative to the whiskers, indicating right skew.
2. The range for female dogs is much larger than the range for male dogs: Male dogs have a range of $100 - 40 = 60$ lbs. Female dogs have a range of $95 - 40 = 55$ lbs. The ranges are nearly equal, so this is false.
3. The female dog data is best represented by the median: Skewed data is best summarized by the median (rather than the mean, which is pulled by the skew), so this is true.
4. The female dog data is less skewed than the male dog data: The male dog box plot has symmetric whiskers and a centered box, showing no skew. The female dog data is skewed, so it is more skewed than male data, making this false.

Answer:

☑️ The female dog graph is skewed.
☑️ The female dog data is best represented by the median.