# Statistics - June 2006, Stage 2&3

## Problems

### Compare the Squares

##### Stage: 2 Challenge Level:

In this problem you will do your own poll to find out whether your friends think two squares on a board are the same colour or not.

### Match the Matches

##### Stage: 2 Challenge Level:

Decide which charts and graphs represent the number of goals two football teams scored in fifteen matches.

### Presenting the Project

##### Stage: 2 Challenge Level:

Have a look at all the information Class 5 have collected about themselves. Can you find out whose birthday it is today?

### Real Statistics

##### Stage: 2 Challenge Level:

Have a look at this table of how children travel to school. How does it compare with children in your class?

### Substitution Cipher

##### Stage: 3 Challenge Level:

Find the frequency distribution for ordinary English, and use it to help you crack the code.

### Archery

##### Stage: 3 Challenge Level:

Imagine picking up a bow and some arrows and attempting to hit the target a few times. Can you work out the settings for the sight that give you the best chance of gaining a high score?

### Top Coach

##### Stage: 3 Challenge Level:

Carry out some time trials and gather some data to help you decide on the best training regime for your rowing crew.

### Litov's Mean Value Theorem

##### Stage: 3 Challenge Level:

Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...