A statistical summary sums up the features of a data set.

A summary measure that attempts to describe a whole set of data with a single value that represents the middle or centre of its distribution

The range is a measure of spread. It is found by finding the difference between the highest and lowest values

Problem solving with numerical summaries of data

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 statistical representations

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

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

The central tendency of a dataset can be described by using an {{ }}, such as the mean, median or mode.

The spread of a dataset can be described by using the {{ }}.

The table shows summary statistics about how many points each person scored during a series of hockey games. The mode suggests that {{ }} tended to score the highest each game.

The table shows summary statistics about how many points each person scored during a series of hockey games. Which measure suggests that Jun tended to score the highest in each game?

The table shows summary statistics about how many points each person scored during a series of hockey games. Which measure suggests that Aisha tends to score the highest in each game?

The table shows summary statistics about how many points each person scored during a series of hockey games. Whose scores tend to be the most consistent?

The dot plot represents a set of data. The mode for this data is {{ }}.

The dot plot represents a set of data. The median for this data is {{ }}.

The dot plot represents a set of data. The mean for this data is {{ }}

The dot plot represents a set of data. The range for this data is {{ }}

Select all of the measures that are types of averages.

The scores in Class A tended to be higher than the scores in Class B.

The scores in Class A tended to be lower than the scores in Class B.

The scores in Class A tended to be more consistent than the scores in Class B.

The scores in Class A tended to be less consistent than the scores in Class B.

Two classes of pupils sit a test. The range of scores in Class A is 22; the range in scores for Class B is 35. Which conclusion is valid for this statistical summary?

Problem solving with numerical summaries of data

Lesson outcome