Processing and Representing Data

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...

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.

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?

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?

What's the Weather Like?

Stage: 3 and 4 Challenge Level:

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

Stage: 3 Challenge Level:

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

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.

Acceptance Rate

Stage: 3 Short Challenge Level:

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:

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

Possible Range

Stage: 4 Short Challenge Level:

The median of a set of five positive integers is one more than the mode and one less than the mean. Can you find the largest range possible?

Mean Balance

Stage: 3 Short Challenge Level:

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

Mean Square

Stage: 3 Short Challenge Level:

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:

What is the mean of this set of numbers?

Pay Attention

Stage: 4 Short Challenge Level:

If some of the audience fell asleep for some of this talk, what was the average proportion of the talk that people heard?

Choose the Mean

Stage: 3 Short Challenge Level:

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