Averages

problem

French Test

Age

11 to 14

Challenge level

What was the average score in this French test?
problem

Number of Arms

Age

11 to 14

Challenge level

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

Growing Families

Age

11 to 14

Challenge level

What do these statistics about family size mean?
problem

Mediant Madness

Age

14 to 16

Challenge level

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

Maximum Mean

Age

14 to 16

Challenge level

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

Changing Averages

Age

14 to 16

Challenge level

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

David and Goliath

Age

14 to 18

Challenge level

Does weight confer an advantage to shot putters?
problem

Top Marks

Age

16 to 18

Challenge level

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

PDF

Age

16 to 18

Challenge level

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