The population is the entire set of people, creatures, plants or items that make up the whole group which is being studied

Bias can be present in any sample collected from a population. e.g. only asking year 7 pupils about a whole school issue.

A statistical summary sums up the features of a data set

Statistical problems - drawing conclusions

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

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

Which is the least popular mode of transport in this school?

An investigation surveys residents of two towns about which type of car they drive. The stacked bar chart shows the results. Which is the most popular type of car in this survey?

has a high number of phone towers for the population

has the expected number of phone towers for the population

has a low number of phone towers for the population

The scatter graph shows the population of some towns and the number of phone towers the town has. Each point in the scatter graph represents a town or region. Match each town with its statement.

A month with 10 hours of sunshine expect a mean temperature of 1 degrees C.

A month with 100 hours of sunshine expect a mean temperature of 12 degrees C.

A month with 330 hours of sunshine expect a mean temperature of 25 degrees C.

The scatter graph shows data about the sunshine duration and mean temperature for each month in a city. Which of the statements is the most valid?

A data investigation surveys 100 people in Oxford about their preferred mode of transport. The most popular mode of transport was bicycle. Which is the most valid conclusion based on these results?

{{ }} can be present in any sample collected from a population and may affect the results of a statistical investigation (e.g. only asking year 7 pupils what food should be served in the school).

In a data investigation, the __________ is the entire set of people, creatures, plants or items that make up the whole group which is being studied. 

{{ }} is the relationship between two variables on a scatter graph. 

Extrapolation is the process of estimating unknown values that are {{ }}.

What type of correlation does the scatter graph show?

As the temperature increases, the number of ice cream sales decreases.

As the temperature increases, the number of ice cream sales also increases.

There is no relationship between the temperature and ice cream sales.

Ice cream sales cause the temperature to increase

A data investigation finds a positive correlation between temperature and ice cream sales. What does this suggest?

The mean for the following numbers data set 8.2, 7.4, 11.3, 9.1 is {{ }}.

Statistical problems - drawing conclusions

Lesson outcome