Statistics - June 2006, All Stages

Problems

problem icon

Domino Sorting

Stage: 1 Challenge Level: Challenge Level:1

Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

problem icon

Name the Children

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Can you find out in which order the children are standing in this line?

problem icon

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.

problem icon

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.

problem icon

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?

problem icon

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?

problem icon

Substitution Cipher

Stage: 3 Challenge Level: Challenge Level:1

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

problem icon

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?

problem icon

The Mean Problem

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

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

problem icon

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.

problem icon

Litov's Mean Value Theorem

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

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

problem icon

The Rescaled Map

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

We use statistics to give ourselves an informed view on a subject of interest. This problem explores how to scale countries on a map to represent characteristics other than land area.

problem icon

PDF

Stage: 5 Challenge Level: Challenge Level:1

Given a probability density function find the mean, median and mode of the distribution.

problem icon

Maximum Scattering

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?

problem icon

Over-booking

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?