Statistics - Stage 4

Olympic Triathlon

Age 14 to 16 Challenge Level:

Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

Picturing the World

Age 11 to 14 Challenge Level:

How can we make sense of national and global statistics involving very large numbers?

Perception Versus Reality

Age 14 to 18 Challenge Level:

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

Box Plot Match

Age 14 to 16 Challenge Level:

Match the cumulative frequency curves with their corresponding box plots.

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?

Which List Is Which?

Age 14 to 16 Challenge Level:

Six samples were taken from two distributions but they got muddled up. Can you work out which list is which?

Statistics Stage 4 - Short Problems

Age 14 to 16

A collection of short Stage 4 problems on statistics.

Possible Range

Age 14 to 16 Short Challenge Level:

The median of a set of five positive integers is one more than the mode and one less than the mean. Can you find the largest range possible?

Pay Attention

Age 14 to 16 Short Challenge Level:

If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?

Changing Averages

Age 14 to 16 Short Challenge Level:

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

Growing Families

Age 14 to 16 Short Challenge Level:

What do these statistics about family size mean?