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Data Displays and Measures

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

Statistics helps summarize data. The mean is the balance point found by adding values and dividing by how many values there are. The median is the middle value when data is ordered. The mode is the most common value, and the range is the difference between greatest and least. 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

Why it matters: Sports stats, classroom test averages, and weather summaries are shown as charts or with mean, median, and mode. Choosing the right display is what keeps the story in the data clear.

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 28 practice items and 15 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.

Practice problems

1. 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. 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. Find the range of 2, 7, 11, 15.

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

Answer: 13

4. 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. 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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