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.

A box plot is a diagram that clearly shows the minimum and maximum value of a data set along with the three quartiles.

Constructing histograms and box plots using technology

Maths

Constructing a cumulative frequency graph

Interpreting a cumulative frequency graph

Constructing box plots

Comparing box plots

Interquartile range

Histograms with equal bar width

Histograms with unequal bar width

Moving between tables and histograms

Summary statistics from histograms

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

What is the "bin width" when using Desmos to draw a histogram?

There needs to be a space in-between each comma.

[] should be used to represent a set of data elements. 

{} should be used to represent a set of data elements. 

An Oak pupil inserts some data into Desmos and writes A=(1,2,2,2,2,2,3,3,3,4,4). Desmos does not recognise this as a set of data. Select the reason why.

When correcting the histogram, it is important to chose the correct bin alignment. 

Which icons will allow you to see the graph once the data has been inputted and a graphical display chosen?

The offset moves the box plot away from the $$y$$ axis. 

The offset moves the box plot away from the $$x$$ axis.

When drawing a box plot, what does "offset" do to the box plot?

To change the position of the box plot, you should change...

Which of the following are graphical displays of discrete data only?

It takes a lot of time to input the data.

What are the benefits when using software to draw graphical representations of large data sets?

Which of the following sets of brackets with a comma are used to show a data set?

...it is convention to draw the histogram against frequency density. 

...it is convention to draw the histogram against frequency.

...it is convention to draw the histogram bars with gaps.

When we have continuous data with equal class intervals...

The histogram is plotted against the frequency density to show the distribution.

The histogram is plotted against the frequency to show the distribution.

The histogram will have gaps between each bar.

The histogram will not have gaps between each bar, unless the frequency = 0.

When we have continuous data with unequal class intervals:

Which of the following are illustrated in a box plot?

Constructing histograms and box plots using technology

Lesson outcome