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Middle value or value that appears most often?

You might have heard the terms median and mode. Do you get them mixed up? The median is the middle value. The mode is the value that appears most often. See how to work each out using a data set about goals scored in soccer matches.

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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 ...

Teacher resource

Using ConCensus for mathematical enquiry

This teaching resource demonstrates ways in which real Australian Census data (in this case data from the 2011 Census placed into the ConCensus interactive) can be interpreted and analysed. Population data is presented both in numbers and as a percentage. The representations include data visualisations, graphs and tables. ...

Interactive Resource

ConCensus

Bring Australian statistics to life with ConCensus – a data visualisation game which allows you to interact with real data from the Australian Bureau of Statistics 2011 Census. ConCensus presents population data as numbers, as a percentage and as representations such as data visualisations, graphs and tables. Use data from ...

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 ...

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Mean of grouped frequency data

Have you seen grouped frequency data when collecting survey information? An example might be age ranges (10-14, 15-19, 20-24 and so on). If you have data like this and want to find the mean, how do you do it? Watch this clip to find out. It uses the example of distances that people travel. See why it's important to choose ...

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An estimate of the median

To find the median of grouped frequency data we need to graph the data, which appears as a 'cumulative frequency curve'. Watch this clip to see how. The example used here is of people's weight. Find out how to work out the cumulative frequency (running total). Watch how to plot the graph, in this case by choosing the upper ...

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The grouped data that appears most often

How do we find the mode of grouped frequency data? We find the grouped data that appears most often. Watch this clip to see how easy it is. The example here uses data about the distance people travel to work. You'll hear a special term used: 'modal class'. See what it has to do with the grouped data and hear all the other ...

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What's the mean number of goals scored?

The mean is the average of a data set. In this example of finding the mean, data is represented in a table. It shows the frequency of goals scored for 20 soccer matches. See how to find the mean, or average, number of goals scored.

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Seeing the graph through the stem and leaf

Stem and leaf is a type of graph where the individual values are shown in place-value order. The stem is arranged in a column. The leaves are arranged in rows aligned with the stem. See how to draw your own stem and leaf diagram. In the example, the data is in tens and units. You'll be shown how to find the median too!

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Dividing data into quartiles

Have you heard of a quartile when talking about data? Dividing the data into four equal sets gives you quartiles. Find out the term we use for the middle quartile. See what the special term is for the middle 50 per cent range of data. Lastly, see how to find values for these quartiles using a data set.

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The sweet interquartile range

Do you know how to find the interquartile range of frequency data? In this clip, see how it's done using data collected about numbers of sweets. The first step is to find Q1 (lower quartile) and then Q3 (upper quartile). Next watch how a cumulative frequency curve is used to find the interquartile range of grouped frequency ...

Teacher resource

Statistics and Probability - data representation and interpretation (Dairy Herd Data)

This is a teacher resource about investigating and interpreting data relating to dairy farm milk yields, and contains two work tasks including an extension task, data sets, student worksheets to assess learning, and background information. This resource, produced by Agrifood Skills Australia, is part of the Agriculture ...

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About Average

This resource is a web page containing a set of questions about mean, median and mode. Rather than work out the mean, median and mode from a data set, these questions require students to apply their understanding and reasoning to work out the answer. A 'Solution' is also available to support the task. This resource is an ...

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

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

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 ...

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

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 ...