# The art of statistics - October 2011, All Stages

This month we celebrate statistics, representing and interpreting data. What stories do complicated data sets tell us? How can we present this information clearly? How can we avoid being misled by statistics?

## Problems

### Data Shapes

##### Age 5 to 7 Challenge Level:

Sara and Will were sorting some pictures of shapes on cards. "I'll collect the circles," said Sara. "I'll take the red ones," answered Will. Can you see any cards they would both want?

### Sticky Data

##### Age 5 to 7 Challenge Level:

You'll need to work in a group on this problem. Can you use your sticky notes to show the answer to questions such as 'how many boys and girls are there in your group?'.

### If the World Were a Village

##### Age 5 to 11 Challenge Level:

This activity is based on data in the book 'If the World Were a Village'. How will you represent your chosen data for maximum effect?

### The Domesday Project

##### Age 7 to 11 Challenge Level:

Take a look at these data collected by children in 1986 as part of the Domesday Project. What do they tell you? What do you think about the way they are presented?

### Birdwatch

##### Age 7 to 11 Challenge Level:

Have a look at this data from the RSPB 2011 Birdwatch. What can you say about the data?

### Class 5's Names

##### Age 7 to 11 Challenge Level:

Class 5 were looking at the first letter of each of their names. They created different charts to show this information. Can you work out which member of the class was away on that day?

##### Age 11 to 14 Challenge Level:

When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?

### How Would You Score It?

##### Age 11 to 14 Challenge Level:

Invent a scoring system for a 'guess the weight' competition.

### Statistical Shorts

##### Age 11 to 16 Challenge Level:

Can you decide whether these short statistical statements are always, sometimes or never true?

### Charting Success

##### Age 11 to 16 Challenge Level:

Can you make sense of the charts and diagrams that are created and used by sports competitors, trainers and statisticians?

### 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?

### Which Spinners?

##### Age 14 to 18 Challenge Level:

Can you work out which spinners were used to generate the frequency charts?

### Data Matching

##### Age 16 to 18 Challenge Level:

Use your skill and judgement to match the sets of random data.

### Pdf Stories

##### Age 16 to 18 Challenge Level:

Invent scenarios which would give rise to these probability density functions.

### Circle Pdf

##### Age 16 to 18 Challenge Level:

What happens if this pdf is the arc of a circle?