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

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 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.

Moving between tables and histograms

Maths

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.

Graphical representations of data: cumulative frequency and histograms

Which of the following shows the frequency in a histogram with unequal bar widths?

Here are the times taken to type the alphabet. Match the class intervals with the correct frequency density.

Here is some data on the lengths of some parcels. Match the frequency with the class interval.

Here is a histogram showing lengths of different fruit. Which numbers represent $$x$$, $$y$$ and $$z$$ on the $$y$$ axis?

Here are the times taken to type the alphabet. Match the class interval to the correct frequency.

Here is a histogram showing the time it takes to solve a puzzle.

Frequency density = frequency $$\times$$ class width

Frequency density = frequency $$\div$$ class width

Frequency density = class width $$\div$$ frequency

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

Histograms can show discrete and continuous data.

Histograms show the distribution of data using grouped intervals. 

Histograms with unequal bar widths must be plotted against frequency density.

Histograms with unequal bar widths must be plotted against frequency.

Histograms with equal bar widths must not be plotted against frequency density.

Here is some data on the masses of parcels. Which class interval shows a frequency density of 2?

Here is some data on the lengths of some string. Which class interval shows a frequency density of 1.4?

The histogram shows the masses of different parcels. How many parcels have a mass between 5 and 15 kg?

The bar with the largest area shows the modal class.

The frequency is the frequency density $$\div$$ class width.

The lowest bar shows the class width with the lowest frequency.

The smallest bar area shows the smallest frequency.

Select which of the following statements are true given a histogram with unequal bar widths plotted against frequency density.

Starter Quiz