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.

Histograms with equal bar width

Maths

Constructing a cumulative frequency graph

Interpreting a cumulative frequency graph

Constructing box plots

Comparing box plots

Interquartile range

Histograms with unequal bar width

Moving between tables and histograms

Summary statistics from histograms

Constructing histograms and box plots using technology

Problem solving with cumulative frequency and histograms

In the prior unit, pupils compared two different sets of data. In this unit, pupils consider cumulative frequency graphs and histograms and compare these with other known graphical representations.

In this unit, pupils consider cumulative frequency graphs and histograms, and compare these with other known graphical representations.

Graphical representations of data: cumulative frequency and histograms

50 people were asked how many books they read a week.

50 people were asked how many minutes it takes them to get to work/school.

50 people were asked what their favourite fruit is.

Equal bar width with the $$y$$ axis labelled frequency.

The $$x$$ and $$y$$ axis must have the same scale.

When constructing a histogram with equal bar widths, select which of the following are important points to remember.

12 people spent between 4 and 5 hours watching TV.

12 people spent between 0 and 1 hour watching TV.

22 people spent between 1 and 3 hours watching TV.

28 people spent between 3 and 5 hours watching TV.

Here is a table showing how long people watched TV for in a week. Select the correct statements which match this table.

It took 5 people between 0 and 2 minutes to complete the IQ test.

It took 7 people between 4 and 6 minutes to complete the IQ test.

It took 23 people between 4 and 10 minutes to complete the IQ test.

It took 2 people between 18 and 20 minutes to complete the IQ test.

Here is a histogram showing times taken to complete an IQ test. Select the correct statements which match this chart.

Here is a histogram showing the times people played a game until they first lost a life. What percentage of people played for 20 seconds or fewer?

Number of people who lost a life within 10 seconds of starting

Number of people who played for more than half a minute

The number of people who lost a life within 40 seconds of starting

Percentage of people who lost a life within 40 seconds of playing

Here is a histogram showing the times people played a game until they first lost a life.

The {{ }} of the box on a box plot represents the interquartile range.

What is the interquartile range of the data represented on this box plot?

Calculate the interquartile range from this cumulative frequency graph.

What is the interquartile range of this set of data?  17, 13, 19, 21, 13, 14, 19.

The Y11 median and interquartile range are both higher than Y7.

The Y11 median was higher, but the interquartile range is lower than Y7.

On average, Y11 are taller and their heights are more consistent.

On average, Y11 are taller and their heights are less consistent.

This table shows information about the heights of some year 7 and 11 pupils.  Compare their heights by selecting the most useful response.

The adults' median was lower and their interquartile range was higher.

On average the adults did better but their times are less consistent.

The children's median was better and their interquartile range was lower.

On average the adults did better and their times are more consistent.

On average the children did better and their times are less consistent.

This table shows information about the times some children and adults take to complete a puzzle. Compare their times by selecting the most useful response.

Histograms with equal bar width

Lesson outcome