AI generatedStatisticsKS3 / GCSE

Choosing a suitable statistical diagram

Choosing a suitable statistical diagram.

  • Decide whether you want to compare categories, show parts of a whole, track time or explore paired data.
  • Choose a diagram for that purpose and explain what its axes, bars or sectors represent.

Example 1

You want to compare the numbers choosing four lunch options. Suggest a suitable diagram and explain why.

A bar chart.

The options are categories; separated equal-width bars make their frequencies easy to compare.

Example 2

You want to show how a class’s favourite sports divide up the whole class. Suggest a suitable diagram.

A pie chart.

Each sector shows a category’s share of the same whole; sector angles total 360°.

Your turn

Question 1

Temperature is recorded at noon on each of seven consecutive days. Suggest a diagram to show change over time.

Check answer
A time-series line graph.

Place time on the horizontal axis and join successive readings in time order.

Question 2

You record each student’s height and arm span to look for a relationship. Suggest a diagram.

Check answer
A scatter graph.

Plot one point for each paired observation. Do not join the points.

Question 3

You want to display the frequency of 0, 1, 2, 3 or 4 pets per household. Suggest a suitable diagram.

Check answer
A vertical line chart or a bar chart.

These are discrete numerical values; place the values in numerical order and show their frequencies.

Question 4

A small class has a list of two-digit test marks. You want a display that keeps every individual mark. Suggest one.

Check answer
An ordered stem-and-leaf diagram with a key.

It groups values by their leading digit while retaining repeats and individual marks.

Question 5

You want to compare the frequencies of four music choices in two classes. Suggest a diagram.

Check answer
A comparative bar chart.

Use the same frequency scale, paired bars for each category and a clear key for the two classes.