A pie chart (pie graph) is a circular graph where sectors represent different groups proportionally.

A bar chart (bar graph) is a graph consisting of bars visually representing the frequency of objects or groups.

Comparing statistical representations

Maths

Checking understanding of the mean

Calculating the mean

Understanding the median

Calculating the median

Understanding the mode

Calculating the mode

Understanding and calculating the range

Summarising data

Changing a data point

Evaluating the range

Comparing summaries of data

Analysing different statistical representations

Correlation

Statistical problems - data collection

Statistical problems - statistical summaries

Statistical problems - data presentations

Statistical problems - drawing conclusions

Problem solving with numerical summaries of data

In this unit, pupils consider the mean, median and mode and evaluate their usefulness in a variety of contexts. In the sampling unit, pupils are given the opportunity to consider where the data came from and how it was collected and can therefore start to evaluate how good a representation the sample is of the whole population.

In this unit, pupils learnt how to calculate the mean and began to use the mean to make comparisons between two sets of data. Pupils also considered whether the mean was an appropriate way of representing the data 

In this unit pupils explore the concept of measures of central tendancy, developing understanding of different types of average and their relative benefits and drawbacks. We then investigate other summaries of data such as the range and data comparison techniques.

Numerical summaries of data

Match each statement to the graph (bar chart, pie chart, or both) from which the statement can most easily be found.

The pie chart and bar chart represent the same data set. Match the bars on the bar chart to the sectors of the pie chart.

The angle of the sector representing autumn on the pie chart is 90°. Using the bar chart, what will the angle of the sector representing spring on the pie chart be?

The pie chart and bar chart represent the same data set. Which two school trips were equally popular?

The angle of the sectors for museum and beach are both 80°. What should the height of the bar representing theatre be on the bar chart? {{ }}

On this choropleth map, there is a new, quite densely populated settlement on the centre left of the map represented by 4 squares. The minimum population of this settlement is {{ }} people.

The bar chart shows the weather over 40 days one winter. What is the modal type of weather?

The bar chart shows the weather over 40 days one winter. How many more days were dry than had hail? {{ }} days.

The bar chart shows the weather over 40 days one winter. On what fraction of days did it rain? Give your answer in its simplest form.

This pie chart shows 60 vehicles that passed the road nearby a school. What is the modal vehicle that passed nearby the school?

This pie chart shows 60 vehicles that passed the road nearby a school. Which two vehicles were counted an equal number of times?

This pie chart shows 60 vehicles that passed the road nearby a school. Complete the statement: {{ }} motorbikes passed nearby the school.

Comparing statistical representations

Lesson outcome