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
- Review the major skills from Statistics and Probability
- Choose methods without topic labels
- Explain and check work across a mixed set
Worked example
Problem. Find the mean of 6, 8, 10, and 12.
- Add the values: 6 + 8 + 10 + 12 = 36.
- There are 4 values.
- 36 divided by 4 equals 9.
- Connect the calculation back to Data Displays and Measures so the method, not just the arithmetic, is clear.
Answer: 9
Practice problems
1. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mean of 4, 6, and 8.
Show solution
- Warm-up: First identify exactly what the question is asking: Find the mean of 4, 6, and 8.
- For data questions, identify what each statistic measures before calculating so the result matches the question.
- Add 4 + 6 + 8 = 18.
- Divide by 3 to get 6.
- Check the result by substituting or estimating: the response should match 6 and make sense in the original problem.
Answer: 6
2. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the median of 3, 9, 5.
Show solution
- Warm-up: First identify exactly what the question is asking: Find the median of 3, 9, 5.
- For data questions, identify what each statistic measures before calculating so the result matches the question.
- Order the data: 3, 5, 9.
- The middle value is 5.
- Check the result by substituting or estimating: the response should match 5 and make sense in the original problem.
Answer: 5
3. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the range of 2, 7, 11, 15.
Show solution
- Warm-up: First identify exactly what the question is asking: Find the range of 2, 7, 11, 15.
- For range questions, identify the possible output values after the input restrictions and graph shape are considered.
- Range = greatest - least.
- 15 - 2 = 13.
- Check the result by substituting or estimating: the response should match 13 and make sense in the original problem.
Answer: 13
4. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mode of 2, 3, 3, 4, 6.
Show solution
- Core Practice: First identify exactly what the question is asking: Find the mode of 2, 3, 3, 4, 6.
- Choose the operation or relationship that matches the wording, then carry it out one clear step at a time.
- The mode is the value that appears most often.
- 3 appears twice.
- Check the result by substituting or estimating: the response should match 3 and make sense in the original problem.
Answer: 3
5. Statistics and Probability Checkpoint review from Data Displays and Measures: Find the mean of 10, 12, 14, and 16.
Show solution
- Core Practice: First identify exactly what the question is asking: Find the mean of 10, 12, 14, and 16.
- For data questions, identify what each statistic measures before calculating so the result matches the question.
- Add to get 52.
- 52 divided by 4 equals 13.
- Check the result by substituting or estimating: the response should match 13 and make sense in the original problem.
Answer: 13
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