Transum Maths Software

Averages

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Averages. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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Averages Starters:

Average Smile: Calculate the mean, median and range of the given scores.

Chin-Ups: Work out the number of chin ups the characters do on the last day of the week give information about averages.

Five Digits: Five digits have the same mean, median, mode and range.

House Numbers: The numbers on five houses next to each other add up to 70. What are those five numbers?

Seedy CDs: Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Jugs

Jugs

The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

 

Curriculum for Averages:

Year 6

Pupils should be taught to calculate and interpret the mean as an average more...

Years 7 to 9

Pupils should be taught to describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers) more...

Years 10 and 11

Pupils should be taught to interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data, {including box plots} and appropriate measures of central tendency (including modal class) and spread {including quartiles and inter-quartile range} more...

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Notes:

"Average" is a very general term that is used commonly in everyday English and most people have an idea what it means. Mathematicians like to be a little more precise however and have come up with a number of different ways of finding a measure of central tendency.

Pupils at school should develop their understanding of averages so that they can more precisely communicate information to others and are not misled by statistics presented in a way to distort the facts.

Pupils should understand and use the mean of discrete data. They should be able to compare two simple distributions using the range and one of the mode, median or mean.

See also the topics called Data Handling and Statistics.

Averages Activities:

Averages: Test your understanding of averages with this self marking quiz about mean, median and range.

Box Plots: An exercise on reading and drawing box-and-whisker diagrams which represent statistical data.

Choose Your Average: This is a game for two players. You should know how to find the mean, median and range of a set of numbers.

Cumulative Frequency: Online exercises on cumulative frequency for discrete and grouped data with exam-style questions.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

Averages Videos:

It's not hard (Averages song): A really zany video revising mean, median, mode and range

Mean, Median and Mode Song: A free trial lesson from Math Upgrade dot com.

Averages External Links:

Links to other websites containing resources for Averages are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Rounding SF

Rounding SF

A self marking exercise requiring students to round numbers to a given number of significant figures. So far this activity has been accessed 31637 times and 4400 people have earned a Transum Trophy for completing it.

 

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