Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### Advanced mathematics

### For younger learners

# Statistics - Stage 4

### Olympic Triathlon

### Picturing the World

### Perception Versus Reality

### Box Plot Match

### For Richer for Poorer

### Which List Is Which?

### Acceptance Rate

### Mean Median

### Possible Range

### Mean Balance

### Pay Attention

### Smallest Range

### Changing Averages

### Maximum Mean

### Very Average

### Beta Rovers

### Gamma City

Or search by topic

Age 14 to 16

Challenge Level

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

Age 14 to 16

Challenge Level

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

Age 14 to 18

Challenge Level

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

Age 14 to 16

Challenge Level

Match the cumulative frequency curves with their corresponding box plots.

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 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?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge 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?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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