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.

Smallest Range

Age 14 to 16 Short Challenge Level:

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

Driving Test

Age 14 to 16 Short Challenge Level:

Which driving test centre has the highest pass rate?

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?

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?

Sample

Age 14 to 16 Short Challenge Level:

Can you match the samples to the populations?

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?

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?

Changing Averages

Age 14 to 16 Short Challenge Level:

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

Growing Families

Age 14 to 16 Short Challenge Level:

What do these statistics about family size mean?

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?

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?