Mathematics / Year 10 / Statistics and Probability / Data representation and interpretation

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Curriculum content descriptions

Compare shapes of box plots to corresponding histograms and dot plots (ACMSP250)

Elaborations
  • investigating data in different ways to make comparisons and draw conclusions
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Dot plots,  Histograms,  Box plots

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Year level 9-10
Resource type
Learning area Mathematics
Interactive resource

Graph investigator

Explore different graph types such as scatter plots, line graphs and histograms. Choose questions to investigate. For example, do girls have faster reaction times than boys? Select the appropriate data set. Then choose a useful graph type. Examine the data presented in the chosen graph type and draw a conclusion about the ...

Interactive resource

Graph investigator: types of graphs

This learning object shows a variety of graphs used in data handling and explains their features, their different uses and their advantages. Graph types include stem-and-leaf plots, histogram, box-and-whisker, scatter plot, pie graph, line graph and column graph. This learning object is one in a series of seven objects. ...

Interactive resource

HOTmaths: exploring measures of spread

Move points on a dot plot and see what happens to various measures of spread and the mean of a distribution.

Interactive resource

Graph investigator: homework hours

Does the average number of hours spent on homework increase with year level? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs ...

Interactive resource

Graph investigator: hand preference

Do left-handed and right-handed students have different reaction times? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs ...

Teacher resource

TIMES Module 8: Statistics and Probability: data investigation and interpretation, year 10 - teacher guide

This is a 29-page guide for teachers. Box plots are introduced as another graphical tool and are used for comparisons of data. Scatter plots are used to explore relationships between quantitative (usually continuous) variables.

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 ...

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 ...

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

Fix the matchbox machine: 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 (if needed) to make it work correctly. ...

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 ...

Text

Academy awards

This resource considers the question 'Are the Academy Awards an ageist and sexist institution?' An unusual question for a mathematics class, but the answer lies in the data. In this activity, students collect, represent and analyse data relating to the Academy awards and compare the ages of the male and female award winners. ...

Interactive resource

Graph investigator: concentration

Do students with better concentration have faster reaction times? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs and histograms. ...

Interactive resource

Fix the matchbox machine: scoop size

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 (if needed) to make it work correctly. ...

Interactive resource

Graph investigator: hand preference [ESL]

Do left-handed and right-handed students have different reaction times? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs ...

Interactive resource

Graph investigator: concentration [ESL]

Do students with better concentration have faster reaction times? Select the appropriate data sets and choose a useful graph type to investigate this question. See the data presented in the chosen graph type and draw a conclusion about this question. Explore different graph types such as scatter plots, line graphs and histograms. ...

Interactive resource

Matchbox machine: plot the variation

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

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 ...

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

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 ...