Resources tagged with: Averages

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Broad Topics > Handling, Processing and Representing Data > Averages

PDF

Age 16 to 18 Challenge Level:

Given a probability density function find the mean, median and mode of the distribution.

Spread

Age 16 to 18 Challenge Level:

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

Top Marks

Age 16 to 18 Challenge Level:

Can you make all of these statements about averages true at the same time?

David and Goliath

Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

Maximum Mean

Age 14 to 16 Short Challenge Level:

What is the largest that the mean of these numbers could be?

Stats Statements

Age 16 to 18 Challenge Level:

Are these statistical statements sometimes, always or never true? Or it is impossible to say?

Statistical Shorts

Age 11 to 16 Challenge Level:

Can you decide whether these short statistical statements are always, sometimes or never true?

May the Best Person Win

Age 5 to 16

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

Wipeout

Age 11 to 16 Challenge Level:

Can you do a little mathematical detective work to figure out which number has been wiped out?

Changing Averages

Age 14 to 16 Short Challenge Level:

Find the value of $m$ from these statements about a group of numbers

Searching for Mean(ing)

Age 11 to 16 Challenge Level:

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

For Richer for Poorer

Age 14 to 16 Challenge Level:

Charlie has moved between countries and the average income of both has increased. How can this be so?

Mediant Madness

Age 14 to 16 Challenge Level:

Kyle and his teacher disagree about his test score - who is right?