# Processing and Representing Data

##### Stage: 3 Challenge Level:

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

### M, M and M

##### Stage: 3 Challenge Level:

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:

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:

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

### 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...

### Olympic Triathlon

##### Stage: 4 Challenge Level:

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:

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

### What's the Weather Like?

##### Stage: 3 and 4 Challenge Level:

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

### Perception Versus Reality

##### Stage: 4 and 5 Challenge Level:

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

### Wipeout

##### Stage: 3 and 4 Challenge Level:

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:

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

### Box Plot Match

##### Stage: 4 Challenge Level:

Match the cumulative frequency curves with their corresponding box plots.

### Unequal Averages

##### Stage: 3 and 4 Challenge Level:

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

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

### Mean Balance

##### Stage: 3 Short Challenge Level:

Given information about the mean, can you work out the missing numbers?