Comparing Data Distributions Practice

Answer 1

1. Compare the data distributions of the heights of male and female students in a school.

- The heights of male students may have a higher mean and a wider range compared to the heights of female students.
- The distribution of heights for male students may be more skewed towards the taller end, while the distribution of heights for female students may be more evenly spread out.
- There may be more outliers in the height data for male students compared to female students.

2. Compare the data distributions of test scores for students who studied with a tutor versus students who did not.

- The test scores of students who studied with a tutor may have a higher mean and a narrower range compared to students who did not study with a tutor.
- The distribution of test scores for students who studied with a tutor may be more evenly spread out, while the distribution of test scores for students who did not study with a tutor may be more skewed towards lower scores.
- There may be fewer outliers in the test score data for students who studied with a tutor compared to students who did not.

3. Compare the data distributions of monthly income for individuals living in urban areas versus rural areas.

- The monthly income of individuals living in urban areas may have a higher mean and wider range compared to individuals living in rural areas.
- The distribution of monthly income for individuals living in urban areas may be more evenly spread out, while the distribution of monthly income for individuals living in rural areas may be more skewed towards lower incomes.
- There may be more outliers in the monthly income data for individuals living in urban areas compared to individuals living in rural areas.