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?

Ladybird Football Team

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