Random Sampling 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

To estimate opinions of all 600 students, choose a sample of 50. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?

  1. The target population is every student.
  2. A team-only sample excludes many students and may be biased.

Answer: Randomly select names from the full enrollment list.

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
To estimate opinions of all 400 students, choose a sample of 30. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?
2
To estimate opinions of all 700 students, choose a sample of 45. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?
3
To estimate opinions of all 200 students, choose a sample of 30. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?
4
To estimate opinions of all 1000 students, choose a sample of 40. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?
5
To estimate opinions of all 200 students, choose a sample of 45. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?
6
To estimate opinions of all 800 students, choose a sample of 55. Which method better represents the school: randomly selecting names from the full enrollment list, or asking only the basketball team?

Answer Key

1. Randomly select names from the full enrollment list.2. Randomly select names from the full enrollment list.3. Randomly select names from the full enrollment list.4. Randomly select names from the full enrollment list.5. Randomly select names from the full enrollment list.6. Randomly select names from the full enrollment list.

Full worksheet sets