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Teacher resource

Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

Collection

Data - Years 5 and 6

The 11 learning objects in this collection relate to the use, collection, display, comparison and interpretation of statistical data. Objects in the first category, statistical graphs, enable students to compare and use a broad range of statistical graphs appropriately. Objects in the second category, surveys, explore and ...

Collection

Data - Years 7 to 9

The 12 learning objects in this collection relate to the use, collection, display, comparison and interpretation of data. Objects in the first category, statistical data graphs, enable students to explore data using a range of graphical analysis tools. Objects in the second category, analysing surveys, enable students to ...

Teacher resource

The First Fleet: age of convicts - unit of work

Students develop their knowledge of statistical measures, such as mean and median, by examining a dataset about the First Fleet (M007943 'The First Fleet - dataset'). They use the dataset to determine the age of convicts leaving England on the First Fleet, and they construct tables and graphs and complete data investigations. ...

Teacher resource

The First Fleet: cost of crime - unit of work

Students develop their knowledge of summary statistics, such as the mode and median of data sets, by examining a dataset about the First Fleet (M007943 'The First Fleet - dataset'). They use data about the cost of crime to construct tables and graphs, and to complete data investigations. Students complete these activities ...

Collection

Using box plots to compare datasets

This is a collection of 15 digital curriculum resources that focuses on representing single-variable data, in the context of sampling and quality control in manufacturing, in box plots. Back-to-back (parallel) box and whisker plots are constructed and used to compare datasets. In both contexts, the significance of quartiles ...

Teacher resource

Building informal inference with TinkerPlots in a measurement context

This professional article describes how to develop informal inference through a series of four mathematical activities about body measurements. Students develop an understanding of the significance of accuracy in measurement, the suitability of different measures of centre, the effects of outliers and arriving at sensible ...

Interactive resource

Exploring measures of central tendency

Examine the mean and median values for a data set recording emergency response times. Predict changes to the mean and median as new results are added.

Interactive resource

EagleCat: scatter

Explore and observe changes in the least squares and 3-median regression lines, the correlation coefficient, mean and median by dragging data points around a scatter plot graph or entering your own data. Create different regression lines for different sets of data using the copy function and observe how the lines change ...

Interactive resource

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 ...

Interactive resource

Rice crisp machine: take a sample

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...

Interactive resource

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 ...

Interactive resource

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. ...

Interactive resource

Matchbox machine: take a sample

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to ...

Interactive resource

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 ...

Interactive resource

Matchbox machine

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Take a sample of 100 matchboxes and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points to ...

Interactive resource

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 ...

Interactive resource

Fix the matchbox machine: scoop size and speed

Check whether a machine is packing most matchboxes with an acceptable number of matches (40–60 matches per box). Look at boxplots made after taking samples of 100 matchboxes. Analyse the data and identify whether results are within the tolerance range. Adjust the machine's scoop size or speed (if needed) to make it work ...

Interactive resource

Rice crisp machine

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...

Interactive resource

Rice crisp machine: plot the variation

Check whether a machine is packing most bags with an acceptable number of rice crisps (20–35 rice crisps per packet). Take a sample of 100 packets and make a boxplot to analyse the results. Sort the sample data into four equal groups. Identify the range, median, first and third quartile values. Position the data points ...