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

Age 14 to 16 Short Challenge Level:

Beta Rovers

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

Age 14 to 16 Short Challenge Level:

Average Discovery

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

Age 14 to 16 Short Challenge Level:

Partial Means

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?

Age 14 to 16 Short Challenge Level:

Mean Balance

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

Age 14 to 16 Short Challenge Level:

Ladybird Football Team

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

Age 14 to 16 Short Challenge Level:

Equal Means

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

Age 14 to 16 Short Challenge Level:

Smallest Range

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

Age 14 to 16 Short Challenge Level:

Acceptance Rate

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

Age 14 to 16 Short Challenge Level:

Gamma City

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

Age 14 to 16 Short Challenge Level:

Algebraic Average

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

Age 14 to 16 Short Challenge Level:

Mean Median

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

Age 14 to 16 Short Challenge Level:

Dopey Measurement

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

Age 14 to 16 Short Challenge Level:

Maximum Mean

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

Age 14 to 16 Short Challenge Level:

Driving Test

Which driving test centre has the highest pass rate?

Age 14 to 16 Short Challenge Level:

Sample

Can you match the samples to the populations?

Age 14 to 16 Short Challenge Level:

A Mean Calculation

What is the mean of this set of numbers?

Age 14 to 16 Short Challenge Level:

Very Average

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

Age 14 to 16 Short Challenge Level:

Jewellery Boxes

Can you find the value of the jewels?

Age 14 to 16 Short Challenge Level:

Pay Attention

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

Age 14 to 16 Short Challenge Level:

Prize Pony

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?

Age 14 to 16 Short Challenge Level:

Changing Averages

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

Age 14 to 16 Short Challenge Level:

Possible Range

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?