# Statistics - Stage 3

This is part of ourĀ Secondary Curriculum collection of favourite rich tasks arranged by topic.

### Reaction Timer

##### Stage: 3 Challenge Level:

This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.

### 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?

### How Would You Score It?

##### Stage: 3 Challenge Level:

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

##### Stage: 3 Challenge Level:

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

### Olympic Records

##### Stage: 3 Challenge Level:

Can you deduce which Olympic athletics events are represented by the graphs?

### Substitution Cipher

##### Stage: 3 Challenge Level:

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

### 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?

### 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...

### Unequal Averages

##### Stage: 3 Challenge Level:

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

### Picturing the World

##### Stage: 3 Challenge Level:

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

### What's the Weather Like?

##### Stage: 3 Challenge Level:

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

### Who's the Best?

##### Stage: 3 Challenge Level:

Which countries have the most naturally athletic populations?

### Half a Minute

##### Stage: 3 Challenge Level:

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

### Wipeout

##### Stage: 3 Challenge Level:

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

### Estimating Time

##### Stage: 3 Challenge Level:

How well can you estimate 10 seconds? Investigate with our timing tool.

### Statistics Stage 3 - Short Problems

##### Stage: 3

A collection of short Stage 3 problems on statistics.