Comparing Populations Worksheets

Interpret samples, tables and relationships while distinguishing observations from causal conclusions.

Before you begin

Read tables and graphs, count outcomes, and calculate with fractions.

Worked example

Two random samples have mean reading times 21 and 31 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)

  1. Subtract the smaller sample mean from the larger.

Answer: 10 minutes

Check your result using the method in the example before moving to the next question.

Choose your level

These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.

  • Easy: Start with the preview and follow the worked example.
  • Medium: Practice the same exercise types with a fresh numbered set.
  • Hard: Use another set to practice explaining and checking your answers.

Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.

Preview and print an easy set

Try six questions below, or choose a full set at your level.

1
Two random samples have mean reading times 19 and 25 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)
2
Two random samples have mean reading times 22 and 31 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)
3
Two random samples have mean reading times 17 and 23 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)
4
Two random samples have mean reading times 25 and 33 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)
5
Two random samples have mean reading times 17 and 26 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)
6
Two random samples have mean reading times 23 and 34 minutes. What is the difference between the sample means? (This alone does not establish a population difference.)

Answer Key

1. 6 minutes2. 9 minutes3. 6 minutes4. 8 minutes5. 9 minutes6. 11 minutes

Full worksheet sets