Averages

problem
PDF

Age

16 to 18

Challenge level

Given a probability density function find the mean, median and mode of the distribution.
problem
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...
problem
Tyneside average speed

Age

14 to 16

Challenge level

Can you work out the average speed of the van?
problem
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%?
problem
Marathon mission

Age

14 to 16

Challenge level

Minnie trained more for the London Marathon this year, so her speed increased. By what percentage did her time decrease?
problem
Grandpa's rock cakes

Age

11 to 14

Challenge level

Grandpa made a super-heavy rock cake. Five people have guessed the weight of the cake. Can you work out the weight of his cake?
problem
Balancing the books

Age

11 to 14

Challenge level

How many visitors does a tourist attraction need next week in order to break even?
problem
Kate's date

Age

11 to 14

Challenge level

When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?
problem
Mediant madness

Age

14 to 16

Challenge level

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

Age

14 to 16

Challenge level

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