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

The mode is the most frequent value. It is a measure of central tendency representing the average of the values.

Calculating the mode

Maths

Checking understanding of the mean

Calculating the mean

Understanding the median

Calculating the median

Understanding 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 {{ }} is the most frequent value. It is a measure of central tendency representing the average of the values.

Which of these frequency tables has no mode?

The mode time is 32 minutes as this is the journey which took the most time.

There is no mode as no journey time occurred more than once in the week.

This line graph shows data about the time taken for the journey to school in one week. Which of the following statements is correct?

This bar chart shows data about the goals scored in matches over a season. The modal number of goals scored in a match is {{ }} goals.

Select all the data sets that show bimodal data.

Sets of data which have {{ }} modes are known as bimodal data.

Select the frequency table that shows the data represented in this bar chart.

Select the data set that matches the line graph.

This list of data: 4, 6, 3, 6, 2, 8, 2, 9, 2 6, 3, 6, 5 has a mode of {{ }}.

The data represented on this dot plot has __________ mode(s).

0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6

0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 6, 6

Calculating the mode

Lesson outcome