# Processing and Representing Data - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Processing and Representing Data.

Printable worksheets containing selections of these problems are available here:

 Stage 3 ★ Sheet 1 Solutions Stage 3★★ Sheet 1 Solutions Sheet 2 Solutions

##### KS 3 Short Challenge Level:

Weekly Problem 45 - 2016
The ladybird five-a-side squad has six members. The average number of spots is 12. How many spots does the pine ladybird have?

### Average Discovery

##### KS 3 Short Challenge Level:

Weekly Problem 38 - 2007
Find the missing number if the mean, median and mode are all the same.

### Algebraic Average

##### KS 3 Short Challenge Level:

Weekly Problem 11 - 2008
The mean of three numbers x, y and z is x. What is the mean of y and z?

### Dopey Measurement

##### KS 3 Short Challenge Level:

Weekly Problem 23 - 2009
How does Snow White need to change her value for mean-dwarf-height after a mix-up?

### Rugby and Ballet

##### KS 3 Short Challenge Level:

Weekly Problem 26 - 2009
From the mean weight of five ballet dancers and the mean weight of ten rugby, what is the average weight of all fifteen people?

### Choose the Mean

##### KS 3 Short Challenge Level:

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

### Kate's Date

##### KS 3 Short Challenge Level:

Weekly Problem 31 - 2012
When Kate ate a giant date, the average weight of the dates decreased. What was the weight of the date that Kate ate?

### Balancing the Books

##### KS 3 Short Challenge Level:

Weekly Problem 32 - 2012
How many visitors does a tourist attraction need next week in order to break even?

### Sevens

##### KS 3 Short Challenge Level:

Weekly Problem 4 - 2016
What is the largest number Sophie can use to have 7 positive integers with a mean of 7?

### Mean Balance

##### KS 3 Short Challenge Level:

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

### Mean Square

##### KS 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?

### Equal Meanslive

##### KS 3 Short Challenge Level:

Weekly Problem 36 - 2017
What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

### A Mean Calculation

##### KS 3 Short Challenge Level:

What is the mean of this set of numbers?

### Ice Cream Pie

##### KS 3 Short Challenge Level:

Weekly Problem 12 - 2012
The pie chart shows the different types of ice creams that were sold last Saturday. How many chocolate ice creams were sold?

### Acceptance Rate

##### KS 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

##### KS 3 Short Challenge Level:

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

### Partial Means

##### KS 4 Short Challenge Level:

Weekly Problem 36 - 2009
From the mean of 64 numbers, and the mean of the first 36 of these numbers, can you work out the mean of the last 28 numbers?

### Prize Pony

##### KS 4 Short Challenge Level:

Weekly Problem 15 - 2017
Helen has two stables. When she moved her favourite pony from the second stable to the first, the average value of the horses in each stable increased by £10,000. What is the total value of all the ponies?

### Possible Range

##### KS 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?

### Jewellery Boxes

##### KS 4 Short Challenge Level:

Weekly Problem 52 - 2013
When a jewel worth £5000 is transferred from one box to another, the average value of the jewels in both boxes increases. What is the total value of all the jewels?

### Pay Attention

##### KS 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?