Statistics - Stage 3

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...

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.

Reaction Timer

Stage: 3 Challenge Level: Challenge Level:1

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: 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.

Who's the Best?

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

Which countries have the most naturally athletic populations?

Olympic Records

Stage: 3 Challenge Level: Challenge Level:1

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

Statistics Stage 3 - Short Problems

Stage: 3

A collection of short Stage 3 problems on statistics.

Picturing the World

Stage: 3 Challenge Level: Challenge Level:1

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

What's the Weather Like?

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

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

Estimating Time

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

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

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 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 Challenge Level: Challenge Level:1

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

Unequal Averages

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

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

Acceptance Rate

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

Can you work out how many students applied to a school, if you know about how the mean number of students has changed?

Mean Median

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

Can you work out the median weight of these children from the given means?

Mean Balance

Stage: 3 Short Challenge Level: Challenge Level:1

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

Mean Square

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

Can you fill this square so that the number in the middle of each line is the mean of the two numbers on either side of it?

A Mean Calculation

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

What is the mean of this set of numbers?

Committees

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

In a club, there are four committees, which are organised according to some rules. How many people are there in the committee?

Choose the Mean

Stage: 3 Short Challenge Level: Challenge Level:1

Find 4 numbers which have a mean of 7, a median of 8 and a mode of 9.