# Moving between tables and histograms

I can construct a table from a histogram.

# Moving between tables and histograms

I can construct a table from a histogram.

## Lesson details

### Key learning points

- A frequency table can be used to construct a histogram
- A histogram can be used to construct a frequency table
- Data is sometimes collected using uneven class widths

### Common misconception

Histograms with unequal bar widths are plotted against the frequency and/or pupils read the frequency density as the frequency of the class width.

Show what a histogram with unequal bar widths looks like when plotted against frequency. This visual aid will show pupils the distribution of data is difficult to see.

### Keywords

Continuous data - Continuous data can take any value within a range. (Height, mass, temperature)

Histogram - A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval.

Frequency density - Frequency density is proportional to the frequency per unit for the data in each class. Often, the multiplier is 1 meaning that frequency density = frequency ÷ class width.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

## Exit quiz

### 6 Questions

$$0 < t \leq 10$$ -

Frequency density = 0.4

$$10 < t \leq 15$$ -

Frequency density = 1.6

$$15 < t \leq 20$$ -

Frequency density = 4

$$30 < t\leq 50$$ -

Frequency density = 0.25

$$0 < l \leq 5$$ -

12

$$5 < l \leq 10$$ -

15

$$10 < l \leq 14$$ -

20

$$15< l \leq 16$$ -

4

$$0 < t \leq 10$$ -

Frequency = 4

$$10 < t \leq 15$$ -

Frequency = 8

$$15 < t \leq 20$$ -

Frequency = 20

$$20 < t \leq 30$$ -

Frequency = 16

$$30 < t\leq 50$$ -

Frequency = 5

$$0 < t\leq 2$$ -

Frequency = 10

$$2 < t \leq 4$$ -

Frequency density = 6

$$4 < t \leq 5$$ -

Frequency = 15

$$5 < t\leq 10$$ -

Frequency density = 2.8

$$10 < t \leq 12$$ -

Frequency density = 2.5