# Statistics - Stage 4

### Olympic Triathlon

##### Stage: 4 Challenge Level:

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

### Picturing the World

##### Stage: 3 Challenge Level:

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

### Perception Versus Reality

##### Stage: 4 and 5 Challenge Level:

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

### Box Plot Match

##### Stage: 4 Challenge Level:

Match the cumulative frequency curves with their corresponding box plots.

### For Richer for Poorer

##### Stage: 4 Challenge Level:

Charlie has moved between countries and the average income of both has increased. How can this be so?

### Which List Is Which?

##### Stage: 4 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

##### Stage: 4

A collection of short Stage 4 problems on statistics.

### Possible Range

##### Stage: 4 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

##### Stage: 4 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

##### Stage: 4 Short Challenge Level:

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