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Charts, tables and when to use them

Tier: #Foundation #Higher

How to

The type of data you have determines which chart or table to use. Picking the wrong one is a common mistake in data questions.

Bar charts — comparing frequencies across categories (e.g. favourite subjects). Bars should be equal width with gaps between them.

Pie charts — showing proportions of a whole. Calculate each angle using: $$\text{angle} = \frac{\text{frequency}}{\text{total}} \times 360°$$

Frequency tables — the starting point for almost all data questions. Use grouped frequency tables (with class intervals) when the data range is large.

Two-way tables — show two categories at once. Rows and columns should each add up to their totals — use this to fill in any missing values.

Scatter graphs — plot two numerical variables to look for a relationship. See Correlation for how to interpret them.

Histograms — for grouped continuous data where the class widths may vary. The y-axis shows frequency density, not frequency: $$\text{frequency density} = \frac{\text{frequency}}{\text{class width}}$$

Cumulative frequency graphs — show a running total of frequencies. Used to find the median, quartiles, and interquartile range.

The golden rule: match the chart to the data type. Categorical → bar chart or pie chart. Continuous → histogram. Two variables → scatter graph. Running totals → cumulative frequency.

❓Questions to practise
📝Past paper questions
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ℹ️Calculator tricks