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# Activities

## Are males better drivers?

These group tasks scaffold an investigation into whether males are better drivers. Student discussions that lead to decisions are required at each phase of the investigation.

## Area in graphs

The focus of considering the graph presented here is the importance of the area of each portion of a bar representing the value or frequency of the variable plotted.

## Awareness of outliers

In considering measures of centre, particularly the mean, it is important to be aware of the influence of outliers.

## Balancing act 1

Results from class investigations about balancing on one foot are used to make inferences about different groups or larger populations.

## Balancing act 2

The question of "How long can typical year X students stand on one foot with their eyes closed?" is extended to compare two different populations, perhaps boys and girls, or children and adults.

## Biased data

It is important for students to realise that the data they collect may be biased in many different ways. The activity explores accuracy and precision.

## Categorical and numerical data

This investigation distinguishes between categorical and numerical data.

## Conflicting reports

Two conflicting newspaper articles challenge students’ beliefs in the truth of media reports, which is sometimes unfounded.

## Contrasting the median and mean

This activity is designed to help students distinguish between means and medians in symmetric and skewed data sets.

## Dice duels

This digital object allows students to explore the mathematical principles of bias through investigations with loaded dice.

## Differences in heights

Differences in samples can suggest differences in populations. This activity has data sets with height measurements for children of different ages.

## Graph investigator

Using data to investigate a range of questions, students learn about the specific features, uses and advantages of different graph types for appropriate representation of data.

## Home internet survey

This digital object models the process of a statistical investigation. Students select a question and are guided through the steps of the investigation to make conclusions supported by evidence.

## How long is a piece of string?

This investigation uses body-based measurements to estimate the length of a piece of string, using the mean arm span of students as an effective measure of centre.

## How much is lots?

‘How much is lots?’ is a student activity from the CSIRO website archive that explores ‘lots’ as a quantifying term.

## Increasing sample size

This activity compares the distributions of smaller samples with larger samples to determine when a sample is representative of the larger population.

## Interpreting box plots

With comparative box plots, the overlap can indicate that there are differences in the underlying populations.

## Investigating us

A pedagogical framework is a useful aid for a series of lessons about conducting a statistical investigation. It includes ways to incorporate digital curriculum resources and other ICT materials, as well as advice on assessment.

## Judging associations

The examples presented give students the opportunity to judge the strength of an association from the appearance of scatter plots.

## Mean, median and mode

This activity distinguishes among mean, median and mode through modelling with paper strips.

## Media claims activity

This activity is based on an extract from a newspaper. It challenges students to think about the sampling method and the way in which the results are extrapolated from a non-representative sample.

## Melbourne Cup data

The Melbourne Cup is a context rich in data and data types. Different investigations from this context require informed selection of graphical representation based on both the question asked and the data type.

## Mystery bag

In this classroom activity, students draw a sample from a bag of tiles and try to predict the contents of the bag.

## Paperclips

This investigation uses a tag-release-recapture method to estimate the number of paperclips in a container. The resource includes a student worksheet, video clip and student work sample.

## Plots and outliers

An outlier in a single variable data set can be identified by drawing a box plot. Outliers in two variable data can be identified if their removal from the data set strengthens the correlation between the two variables.