Sec 1 data: read and question a display

A data display should make the comparison easier to see without changing what the counts mean. Read its labels and scale before deciding what it shows.

What this guide covers

Selected Sec 1 S1 skills: categorical tables, bar-chart interpretation and misleading presentation. Measures of centre and grouped means are later work.

Categories and counts

A bar chart compares separate categories; a line graph is more suited to ordered changes such as measurements over time. A truncated vertical scale can exaggerate small differences.

Read a category table

In a class survey, 14 students walk, 9 take a bus and 7 travel by car. How many were surveyed, and which display suits a category comparison?

  1. Total =14+9+7=30 students.
  2. A bar chart can show three separate travel categories with a labelled count axis.

Check: The three bars should represent counts 14, 9 and 7; their total is 30.

Try it yourself

Work on paper, then compare the steps. These checks do not establish mastery.

A table records 8 students choosing apples, 5 choosing bananas and 7 choosing oranges. What fraction chose bananas?

Total =8+5+7=20. Bananas account for 520=14 of the students. Use the total, not the number of categories, as denominator.

A bar chart compares class counts 96 and 98 but starts its vertical axis at 95. Why might it mislead a reader?

The plotted bar heights above 95 are 1 and 3, which can make 98 appear three times 96. The actual counts differ by only 2; read the numeric scale before judging size.

Where this connects

Sources and scope

Original Mentora table and display descriptions aligned to Sec 1 S1 in the MOE G2/G3 Mathematics syllabus. No third-party chart was copied.

MOE G2 and G3 Mathematics syllabuses ↗