Processing and Representing Data

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.

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?

M, M and M

Stage: 3 Challenge Level: Challenge Level:1

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Searching for Mean(ing)

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

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

How Would You Score It?

Stage: 3 Challenge Level: Challenge Level:1

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

Olympic Triathlon

Stage: 4 Challenge Level: Challenge Level:1

Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?

Picturing the World

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

How can we make sense of national and global statistics involving very large numbers?

Perception Versus Reality

Stage: 4 and 5 Challenge Level: Challenge Level:1

Infographics are a powerful way of communicating statistical information. Can you come up with your own?

What's the Weather Like?

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

With access to weather station data, what interesting questions can you investigate?

About Average

Stage: 3 Challenge Level: Challenge Level:1

Can you find sets of numbers which satisfy each of our mean, median, mode and range conditions?

Wipeout

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can you do a little mathematical detective work to figure out which number has been wiped out?

Half a Minute

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

Anna, Ben and Charlie have been estimating 30 seconds. Who is the best?

Box Plot Match

Stage: 4 Challenge Level: Challenge Level:1

Match the cumulative frequency curves with their corresponding box plots.

Unequal Averages

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

Play around with sets of five numbers and see what you can discover about different types of average...

Processing and Representing Data - Short Problems

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

A collection of short Stage 3 and 4 problems on processing and representing data.