Search by Topic

Filter by: Content type:
Age range:
Challenge level:

There are 30 results

Broad Topics > Handling, Processing and Representing Data > Averages

Statistical Shorts

Age 11 to 16 Challenge Level:

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

How Would You Score It?

Age 11 to 14 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

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?

Searching for Mean(ing)

Age 11 to 14 Challenge Level:

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

M, M and M

Age 11 to 14 Challenge Level:

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Stats Statements

Age 16 to 18 Challenge Level:

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

The Monte Carlo Method

Age 16 to 18 Challenge Level:

Estimate areas using random grids

Match the Matches

Age 7 to 11 Challenge Level:

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

Litov's Mean Value Theorem

Age 11 to 14 Challenge Level:

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...

Growing Families

Age 14 to 16 Short Challenge Level:

What do these statistics about family size mean?

Maximum Mean

Age 14 to 16 Short Challenge Level:

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

The Average Age

Age 11 to 14 Short Challenge Level:

Given this information about averages, find the ages of these teachers.

Range of Averages

Age 11 to 14 Short Challenge Level:

Find these 4 numbers, given their mode, median and range.

Number of Arms

Age 11 to 14 Short Challenge Level:

What is the probability that the next person you meet has an above average number of arms?

French Test

Age 11 to 14 Short Challenge Level:

What was the average score in this French test?

Changing Averages

Age 14 to 16 Short Challenge Level:

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

Shifting Average

Age 11 to 14 Short Challenge Level:

What happens to the average if you subtract 8 from all of the numbers?

Average Temperature

Age 11 to 14 Short Challenge Level:

The average temperature of six cities is 5$^\circ$C. What is the average temperature when two cities are added?

Unequal Averages

Age 11 to 14 Challenge Level:

Play around with sets of five numbers and see what you can discover about different types of average...

Half a Minute

Age 11 to 14 Challenge Level:

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

Wipeout

Age 11 to 14 Challenge Level:

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

Age 11 to 14 Challenge Level:

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

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?

David and Goliath

Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

Top Marks

Age 16 to 18 Challenge Level:

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

PDF

Age 16 to 18 Challenge Level:

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

Top Coach

Age 11 to 14 Challenge Level:

Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.

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%?