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Averages and Range from a List of Data: Rich Tasks

You cannot beat a good rich task! For me, a rich task is one that both stimulates and challenges students of all ages and abilities. Here is a selection of some of my favourites.

Contents

Median Rich Tasks and Purposeful Practise keyboard_arrow_up
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There are no words to express how much I love Don Steward and his amazing resources on his Median Blog. They allow for purposeful practise, to enable students to gain fluency in key skills. But they also have more than a sprinkling of richness, that leads students merrily along the path towards hypotheses and generalisations. Amazing.

Mean
Mean of the Means
Meaned Triangular Numbers
Wipe Out
Sampling Circles
Some means
On average
Wrighty Averages
Ch… ch...ch… changes
Tiddlywinks
Mean Average = Equal Sharing
Two Poems
Mean of Frequency Data

All Averages and Range
Small Data Set Problems
Generalising GCSE Questions 16: Averages
Averages of Four Numbers
Mean, Median and Mode
Central Tendency
Best Guesser
Comparing two data sets
Standard Deviation
Spread Relationships
Spread

NRICH keyboard_arrow_up
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NRICH is simply one of the best websites for rich maths problems in the whole wide world.

About Average
M, M and M
Searching for Mean(ing)
Litov's Mean Value Theorem
Unequal Averages
Half a minute
How Would You Score It?
Wipeout
Top Coach

Other Rich Tasks keyboard_arrow_up
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A selection of some of my favourite rich tasks, including – I must confess – some of my own. For my complete collection, including my thoughts on what makes a good rich task, please visit the Rich Tasks page.

Statistical Challenges from Colin Foster
Venn Diagrams – Averages and Range
Build an Army – Averages and Range
Averaging it out
Inquiry Maths There is no set of data that satisfies this condition: median > mode > mean > range

James Tanton's Curriculum Essay July 2014: Mean and Variation