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Students learn how to design a questionnaire without bias to collect primary qualitative and quantitative data sets. As learning progresses they use stratified sampling to determine sample size and how to design two-way tables and frequency trees to organise these data.

This unit takes place in Year 9 Term 4 and follows on from calculating statistical measures.

- Interpret and construct statistical diagrams for discrete and continuous data and know their appropriate use.
- interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
- appropriate graphical representation involving discrete, continuous and grouped data
- appropriate measures of central tendency (median, mean, mode and modal class) and spread

- Infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling.
- apply statistics to describe a population
- Interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data.

- Students need to understand the benefits of using two-way tables as a means to exhaustively cover each outcome for multiple events and use them to calculate probabilities.
- When designing questionnaires students need to consider time periods, multiple check boxes which do not overlap and the need to collect a wide ranging sample to reduce bias.
- It is important to recognise the different statistical techniques that are used to analyse and represent qualitative, quantitative, discrete and continuous data.

- Students often have difficulty designing two-way tables.
- When designing questionnaires common errors include:
- No time period
- Overlapping responses
- Lack of ‘none’ or ‘other’ option.
- Check boxes with unequal widths.
- Double negative questions.

- Students often try to represent continuous data using methods that are only applicable for discrete sets.

January 25, 2021

There are five problems that link to area, midpoints, gradients and solving equations.

January 20, 2021

How to teach calculating the original amount after a percentage change.

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.