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

Checking understanding of the mean

Maths

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

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

The (arithmetic) mean for a set of numerical data is the sum of the values {{ }} by the number of values. It is a measure of central tendency representing the average of the data. 

Which of these towers of blocks have a mean of 4?

The mean for this data set: 5, 4, 7, 5, 8, 2, 9, 3, 5, 2 is {{ }}

What is the mean of the data shown on this dot plot? {{ }}

Match each total with the number of data values and mean.

A large data set has 620 pieces of data and a total of 3906. The mean of the data set is {{ }} . 

6 friends share 42 sweets equally. Each friend receives {{ }} sweets.

Match each word with the correct operation.

Which of the following has an answer of 5?

Eight pupils each roll a dice seven times. There are {{ }} rolls of the dice altogether.

There are 40 students that need to be sorted into equal groups.  How many different group sizes could there be? {{ }}

Checking understanding of the mean

Lesson outcome