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Statistics and Probability Checkpoint

A free Pre-Algebra lesson from the “Statistics and Probability” unit, with a worked example and practice problems including step-by-step solutions.

This checkpoint mixes the statistics and probability skills from the unit. It is intentionally cumulative: students identify the topic, choose a method, solve, and check that the answer makes sense before moving on. In Statistics and Probability, the goal is not just to get an answer but to recognize the structure of the problem, choose a reliable strategy, and explain why the result is reasonable. The practice set now includes targeted skill work, transfer questions, and mixed review so students build fluency and retention.

What you'll learn

Worked example

Problem. Find the mean of 6, 8, 10, and 12.

  1. Add the values: 6 + 8 + 10 + 12 = 36.
  2. There are 4 values.
  3. 36 divided by 4 equals 9.
  4. Connect the calculation back to Data Displays and Measures so the method, not just the arithmetic, is clear.

Answer: 9

Lesson preview: this page shows 5 practice items. The interactive activity contains 25 practice items and 25 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.

Practice problems

1. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mean of 4, 6, and 8.

Show solution
  1. Add 4 + 6 + 8 = 18.
  2. Divide by 3 to get 6.

Answer: 6

2. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the median of 3, 9, 5.

Show solution
  1. Order the data: 3, 5, 9.
  2. The middle value is 5.

Answer: 5

3. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the range of 2, 7, 11, 15.

Show solution
  1. Range = greatest - least.
  2. 15 - 2 = 13.

Answer: 13

4. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mode of 2, 3, 3, 4, 6.

Show solution
  1. The mode is the value that appears most often.
  2. 3 appears twice.

Answer: 3

5. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mean of 10, 12, 14, and 16.

Show solution
  1. Add to get 52.
  2. 52 divided by 4 equals 13.

Answer: 13

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