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Histograms

Histograms show grouped data with unequal class widths. The area of each bar, not its height, shows the frequency.

Frequency density

frequency density = frequencyclass width
The height of each bar is the frequency density.

Finding frequencies

frequency = frequency density × class width, which is the area of the bar.

Example

Worked example

A bar has frequency density 4 and class width 15. Find the frequency.

  1. frequency = 4 × 15

Answer: 60

Key idea

Frequency density = frequency ÷ class width, and is the bar's height. Frequency = density × width, which is the bar's area.

The interactive lesson includes the diagrams for this topic.

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