# Statistics - Stage 4

### Olympic Triathlon

##### Age 14 to 16Challenge Level

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

### Picturing the World

##### Age 14 to 16Challenge Level

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

### Perception Versus Reality

##### Age 14 to 18Challenge Level

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

### Box Plot Match

##### Age 14 to 16Challenge Level

Match the cumulative frequency curves with their corresponding box plots.

### For Richer for Poorer

##### Age 14 to 16Challenge 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 16Challenge 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 ShortChallenge Level

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

### Mean Median

##### Age 14 to 16 ShortChallenge Level

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

### Possible Range

##### 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?

### Mean Balance

##### Age 14 to 16 ShortChallenge Level

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

### A Mean Calculation

##### Age 14 to 16 ShortChallenge Level

What is the mean of this set of numbers?

### Pay Attention

##### 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?

### Smallest Range

##### Age 14 to 16 ShortChallenge Level

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

### Changing Averages

##### Age 14 to 16 ShortChallenge Level

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

### Maximum Mean

##### Age 14 to 16 ShortChallenge Level

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

### Driving Test

##### Age 14 to 16 ShortChallenge Level

Which driving test centre has the highest pass rate?

### Sample

##### Age 14 to 16 ShortChallenge Level

Can you match the samples to the populations?

### Very Average

##### 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?

### Beta Rovers

##### Age 14 to 16 ShortChallenge Level

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

### Gamma City

##### Age 14 to 16 ShortChallenge Level

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