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 and may affect the results of a statistical investigation

Statistical problems - data collection

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 - 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

Which tool could be used to collect data about how satisfied customers are after using their business?

Which tool could you use to collect data about the frequencies of different species of birds that land in a garden?

Which word describes the entire set of people, creatures, plants or items that make up the whole group that is being studied in a data investigation?

A {{ }} is a subset of the population of a data investigation.

Alex wants to investigate how much time 16 year-old pupils in the UK spend doing homework per week. What is the population in Alex's investigation?

10 people from the oldest year group and 10 people from the youngest year group

4 people from each of the 5 year groups in the school

Laura wants to investigate how much time pupils in her school spend watching cartoons per week. Which of these samples would be the most representative of the population in Laura's investigation?

When you count how many individuals (people, animals etc.) are in each category of a data set you are finding the {{ }} for each category.

choosing outcomes or actions based on the results

Put the stages of a data investigation in order.

Which of these data sets can only contain integer values?

What is the frequency of 'moon' in the list? {{ }}

Statistical problems - data collection

Lesson outcome