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 14 to 16
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 Short Problems - Age 14-16

Age 14 to 16

A collection of short problems on statistics.

Acceptance Rate

Age 14 to 16 Short
Challenge Level

The mean number of students has changed, so how many students applied to a school?

Mean Median

Age 14 to 16 Short
Challenge Level

Can you work out the median weight of these children from the given means?

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?

Mean Balance

Age 14 to 16 Short
Challenge Level

Given information about the mean, can you work out the missing numbers?

A Mean Calculation

Age 14 to 16 Short
Challenge Level

What is the mean of this set of numbers?

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?

Smallest Range

Age 14 to 16 Short
Challenge Level

What is the smallest possible range that these 4 integers could have?

Changing Averages

Age 14 to 16 Short
Challenge Level

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

Maximum Mean

Age 14 to 16 Short
Challenge Level

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

Driving Test

Age 14 to 16 Short
Challenge Level

Which driving test centre has the highest pass rate?

Sample

Age 14 to 16 Short
Challenge Level

Can you match the samples to the populations?

Very Average

Age 14 to 16 Short
Challenge Level

If each number in this list is the average of the two numbers before it, what is the value of a?

Beta Rovers

Age 14 to 16 Short
Challenge Level

Can you find the mode and median number of goals scored by Beta Rovers?

Gamma City

Age 14 to 16 Short
Challenge Level

Can you find the mode and median number of goals scored by Gamma City?