Statistics Stage 4 - Short Problems


This is part of our collection of Short Problems.

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

Algebraic Average

KS 4 Short Challenge Level:

Challenge Level:1

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

Partial Means

KS 4 Short Challenge Level:

Challenge Level:1

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?

Jewellery Boxes

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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?

Prize Pony

KS 4 Short Challenge Level:

Challenge Level:2 Challenge Level:2

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:

Challenge Level:2 Challenge Level:2

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?

Pay Attention

KS 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

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