# Statistics Short Problems - Age 14-16

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Statistics - Stage 4.

Printable worksheets containing selections of these problems are available here

### Partial Means

##### Age 14 to 16 Short Challenge Level:

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?

### Mean Balance

##### Age 14 to 16 Short Challenge Level:

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

##### Age 14 to 16 Short Challenge Level:

The ladybird squad members have an average of 12 spots each. How many spots does the pine ladybird have?

### Beta Rovers

##### Age 14 to 16 Short Challenge Level:

Can you find the mode and median number of goals scored by Beta Rovers?

### Average Discovery

##### Age 14 to 16 Short Challenge Level:

Find the missing number if the mean, median and mode are all the same.

### Driving Test

##### Age 14 to 16 Short Challenge Level:

Which driving test centre has the highest pass rate?

### Sample

##### Age 14 to 16 Short Challenge Level:

Can you match the samples to the populations?

### A Mean Calculation

##### Age 14 to 16 Short Challenge Level:

What is the mean of this set of numbers?

### Equal Means

##### Age 14 to 16 Short Challenge Level:

What value of x makes the mean of the first three numbers in this list equal to the mean of the other four?

### Smallest Range

##### Age 14 to 16 Short Challenge Level:

What is the smallest possible range that these 4 integers could have?

### Acceptance Rate

##### Age 14 to 16 Short Challenge Level:

The mean number of students has changed, so how many students applied to a school?

### Gamma City

##### Age 14 to 16 Short Challenge Level:

Can you find the mode and median number of goals scored by Gamma City?

### Algebraic Average

##### Age 14 to 16 Short Challenge Level:

The mean of three numbers x, y and z is x. What is the mean of y and z?

### Mean Median

##### Age 14 to 16 Short Challenge Level:

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

### Dopey Measurement

##### Age 14 to 16 Short Challenge Level:

How does Snow White need to change her result after the mix-up?

### Maximum Mean

##### Age 14 to 16 Short Challenge Level:

What is the largest that the mean of these numbers could be?

### Possible Range

##### Age 14 to 16 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?

### Very Average

##### Age 14 to 16 Short Challenge Level:

If each number in this list is the average of the two numbers before it, what is the value of a?

### Jewellery Boxes

##### Age 14 to 16 Short Challenge Level:

Can you find the value of the jewels?

### Pay Attention

##### Age 14 to 16 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?

### Prize Pony

##### Age 14 to 16 Short Challenge Level:

When Helen moved her favourite pony from one stable to another, the average value of the horses in each stable increased by £10000. What is the total value of all the ponies?

### Changing Averages

##### Age 14 to 16 Short Challenge Level:

Find the value of $m$ from these statements about a group of numbers