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?

The Mean Problem

Stage: 3 Short Challenge Level:

Can you work out the four unknown numbers from the clues about their means?

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...