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.

Main Page

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.

Choc Bar Chart: Interpret data given in the form of a bar chart then create a new bar chart showing the given statistics.

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?

 

Small images of these Starters ::  Index of Starters


Averages Advanced Starters:

Cube Ages: Calculate the mean age of the two fathers and two sons with the given clues.

Index of Advanced Starters


Suggested

Averages

Averages

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

The short web address is:

Transum.org/go/?to=averages

 

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...

Pupils should be taught to apply statistics to describe a population more...

Years 12 and 13

Pupils should be taught to interpret measures of central tendency and variation, extending to standard deviation. Be able to calculate standard deviation, including from summary statistics more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

Feedback:

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

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"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

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"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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Best wishes from Inger Kisby"

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"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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I rate this site as a 5!"

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Thanks again"

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Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

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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 Teacher Resources:

Centre and Variability: Make sense of and determine the reasonableness of the mean and median of a data set by looking at the values.

Averages Activities:

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

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.

Mixed Medians: Find the medians of sets of different types of numbers in these self-marking exercises.

StatGrid Challenge: Arrange the numbers one to nine in a three by three grid to obtain the given means, medians and ranges.

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

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

Standard Deviation: Find how 'spread out' data is by estimating and calculating this measure of dispersion.

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

Averages Videos:

Averages video
Transum's Averages Video


Averages Video: Revise how to calculate the mean, median, mode and range from lists and frequency tables.

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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Suggested

Standard Deviation

Standard Deviation

Find how 'spread out' data is by estimating and calculating this measure of dispersion.

The short web address is:

Transum.org/go/?to=stddev

 

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