# Statistics - Stage 3

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

### Statistics Short Problems - Age 11-14

##### Age 11 to 14

A collection of short Stage 3 problems on statistics.

### In the Bag

##### Age 11 to 14Challenge Level

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

### Half a Minute

##### Age 11 to 14Challenge Level

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

### Reaction Timer

##### Age 11 to 14Challenge Level

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

### M, M and M

##### Age 11 to 14Challenge 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?

##### Age 11 to 14Challenge Level

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

##### Age 11 to 14Challenge Level

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

### Substitution Cipher

##### Age 11 to 14Challenge Level

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

### Olympic Records

##### Age 11 to 14Challenge Level

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

### Unequal Averages

##### Age 11 to 14Challenge Level

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

### What's the Weather Like?

##### Age 11 to 14Challenge Level

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

### Estimating Time

##### Age 11 to 14Challenge Level

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

### Who's the Best?

##### Age 11 to 14Challenge Level

Which countries have the most naturally athletic populations?

### Litov's Mean Value Theorem

##### Age 11 to 14Challenge Level

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

### Statistical Shorts

##### Age 11 to 16Challenge Level

Can you decide whether these short statistical statements are always, sometimes or never true?

### Searching for Mean(ing)

##### Age 11 to 16Challenge Level

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

### Wipeout

##### Age 11 to 16Challenge Level

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

### Tree Tops

##### Age 14 to 16Challenge Level

Can you make sense of information about trees in order to maximise the profits of a forestry company?

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.