# Mathematics / Year 7 / Statistics and Probability / Data representation and interpretation

Curriculum content descriptions

Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170)

Elaborations
• understanding that some data representations are more appropriate than others for particular data sets, and answering questions about those data sets
• using ordered stem-and-leaf plots to record and display numerical data collected in a class investigation, such as constructing a class plot of height in centimetres on a shared stem-and-leaf plot for which the stems 12, 13, 14, 15, 16 and 17 have been produced
General capabilities
• Literacy Literacy
• Numeracy Numeracy
• Critical and creative thinking Critical and creative thinking
ScOT terms

Stem and leaf plots,  Dot plots

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Year level 7-8
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Learning area Mathematics

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### Stem-and-leaf graphs: an introduction

Find out what a stem-and-leaf graph is. Find out what a back-to-back stem-and-leaf graph is. Work through this tutorial to understand the features of stem-and-leaf graphs, and how they are used to display and to compare two data sets. Observe how the mean and median of the data sets can be used to interpret information. ...

### Stem-and-leaf graphs: height

Are 13-year-old boys taller than 13-year-old girls? Display the data in a back-to-back stem-and-leaf graph to investigate the truth of this conjecture. Identify the median for girls and boys and use the two means to help draw a conclusion about this question. Use the tutorial to show the features and uses of stem-and-leaf ...

### Stem-and-leaf graphs

Find out what a stem-and-leaf graph is and use it to investigate the truth about different conjectures. Work through a tutorial about stem-and-leaf graphs, and then choose an investigation from a set of three. Enter your own data in some investigations. For example, test the reaction time of your preferred hand against ...

### Stem-and-leaf graphs: reaction time

Do right-handed students have faster reaction times than left-handed students? Display the given data, including your own time, in a back-to-back stem-and-leaf graph to investigate the answer to this question. Identify the median for left- and right-handed students and use the two means to help you draw a conclusion about ...

### Data handler: bus timetable

Help plan your school sports day by organising buses for all the students. Plot raw data on a dot plot and then group that data according to three criteria or 'rules' to decide the minimum number of buses required and departure times to suit all students. This learning object is one in a series of three objects. The series ...

### Data handler: sock order

Help plan your school sports day by ordering special socks for the students. Plot raw data on a dot plot and then group that data according to three criteria or 'rules' to decide on the sizes and numbers of pairs of socks to order in each group. This learning object is one in a series of three objects. The series is also ...

### Data handler: T-shirt order

Help plan your school sports day by ordering special T-shirts for the students. Plot raw data on a dot plot and then group that data according to three criteria or 'rules' to decide on the sizes and numbers of T-shirts to order in each group. This learning object is one in a series of three objects. The series is also packaged ...

### Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

### Stem-and-leaf graphs: preferred hand speed

Are reaction times using a person’s preferred hand faster than using the non-preferred hand? Display the given data, including your own time, in a back-to-back stem-and-leaf graph to investigate the answer to this question. Identify the median for preferred and non-preferred hands and use the two means to draw a conclusion ...

### Your place in the world: Australia's agriculture

This is a web page about calculations based on percentages, using data on Australia's agricultural production. It presents a teaching sequence on analysing Australia's main agricultural commodities. The page includes a link to a student worksheet on the application of percentages in which students complete a table and answer ...

### Australian reported crime victims since 2010 - dataset

This is a dataset that provides statistics about crimes reported by victims from 2010 to the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

### Data handler

Help plan your school sports day by ordering special T-shirts and socks, and organising buses for all the students. Plot raw data on a dot plot and then group that data according to three criteria or 'rules' to decide on suitable sizes and numbers of T-shirts and socks to order in each group, and to decide the minimum number ...

### Home-run records

This realistic mathematical investigation uses stem and leaf plots to compare the performances of two baseballers. It examines the effects of outliers on the mean. The task includes a student worksheet with data, teacher notes, assessment advice and ideas for extension. ICT could be used.

### Mean, median and mode

This resource is a video demonstration, with audio commentary, about calculating the mean, median and mode of a data set. The meaning of each of the terms - mean, median and mode - is explained and the difference between them is clarified. The resource explains the process and demonstrates a handwritten method for calculating ...