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

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?

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?

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?

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?

Changing Averages

Age 14 to 16 Short Challenge Level:

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

Jewellery Boxes

Age 14 to 16 Short Challenge Level:

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

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?