The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.

The sum of the values divided by the number of values. It is a measure of central tendency representing the average of the values.

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

Calculating the mean

Maths

Checking understanding of 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

tea, coffee, tea, tea, coffee, tea, water

Select all the data sets that have a mean.

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

Without any further calculation, which of these could be the mean?

Laura records how long her journey is to school each day for a week. The line graph shows her results. Laura's mean journey time is {{ }} minutes.

The bar chart shows the number of goals scored by a club in a season. 192 goals were scored in total. The mean number of goals per match is {{ }} rounded to 1 decimal place.

$$ {0\times6+1\times7+2\times6+3\times12+4\times14}\over{6+7+6+12+14}$$

Which of these calculations is correct for finding the mean from this frequency table?

Which of these frequency tables shows 49 pieces of data?

The bar chart shows the number of children who have visited different attractions in the summer holidays. The bar for {{ }} has a frequency of 12.

Laura times her bus journey to school every day for a week. On which day did Laura's journey take 28 minutes?

A measure of central tendency is a summary measure that attempts to describe a whole set of {{ }} with a single value that represents the middle or centre of its distribution. 

A large data set has 452 data values which have a total of 16 724. The mean of the data is {{ }}.

The mean for the data shown on this dot plot is {{ }}.

Starter Quiz

Which of these frequency tables shows 49 pieces of data?