### There are 28 results

Broad Topics >

Handling, Processing and Representing Data > Averages

##### Age 11 to 16 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

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

##### Age 14 to 16 Challenge Level:

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

##### 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?

##### 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?

##### Age 16 to 18 Challenge Level:

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

##### Age 7 to 11 Challenge Level:

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

##### 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...

##### Age 11 to 14 Short Challenge Level:

What do these statistics about family size mean?

##### Age 14 to 16 Short Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

What was the average score in this French test?

##### Age 14 to 16 Short Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

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

##### 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?

##### Age 11 to 14 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

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

##### 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?

##### 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?

##### Age 14 to 18 Challenge Level:

Does weight confer an advantage to shot putters?

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Challenge Level:

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

##### 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%?

##### Age 14 to 16 Challenge Level:

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

##### Age 11 to 14 Short Challenge Level:

Two students collected some data on the wingspan of bats, but each lost a measurement. Can you find the missing information?