Statistics - June 2006, Stage 2&3

Problems

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Compare the Squares

Stage: 2 Challenge Level: Challenge Level:1

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.

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Match the Matches

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Presenting the Project

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Real Statistics

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Archery

Stage: 3 Challenge Level: Challenge Level:1

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?

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Top Coach

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Litov's Mean Value Theorem

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Start with two numbers. This is the start of a sequence. The next number is the average of the last two numbers. Continue the sequence. What will happen if you carry on for ever?

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Substitution Cipher

Stage: 3 and 4 Challenge Level: Challenge Level:1

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