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Mathematics · Grades 3–7

Data tables and fair summaries

Identify what is counted and make sure categories are not accidentally counted twice.

Make a worksheet

Understand the idea

Read categories

Identify what is counted and make sure categories are not accidentally counted twice.

Choose a suitable summary

Mean, median, mode and range describe different features.

Examples and reasoning

A reading survey records 8 fiction votes, 6 science votes and 4 history votes. How many votes?

8 + 6 + 4 = 18

18

Scores are 4, 6 and 8. Find the mean.

(4 + 6 + 8)/3 = 6

6

Check your understanding

  1. Ordered scores are 2, 3, 7, 8, 20. Find the median.

  2. Find the range of 5, 9, 9, 12.

  3. Find the mode of 2, 4, 4, 5, 7.

  4. A new very large value is added to a small dataset. Which summary is often strongly affected?

    1. mean
    2. category name
    3. unit label
    4. number of letters in the title

Answers and marking notes

Answers and marking notes
  1. 7

    The middle of five ordered values is the third.

  2. 7

    12 − 5 = 7

  3. 4

    4 occurs most often.

  4. mean

    mean

Learning preview · teacher review required. Grade bands are approximate, not official curriculum alignment.