Steply

Range of 15, 3, 11, 8, 20

Step by step, with the reason for every step · Mean, median, mode, range · Foundations

Step by step

The question

Question: find the range of 15, 3, 11, 8 and 20.

Range of 15, 3, 11, 8, 20

The range shows how spread out the numbers are: the biggest minus the smallest.

range = biggest − smallest

1 Put them in order

First we put them in order, smallest first: 3, 8, 11, 15 and 20.

= 3, 8, 11, 15, 20

We still have 5 numbers.

None is lost.

5 numbers ✓

2 Smallest and biggest

In order, the smallest is first and the biggest is last.

The smallest is 3.

The biggest is 20.

= smallest = 3, biggest = 20

3 Take away

The range is the biggest minus the smallest.

= range = 20 − 3

20 minus 3 is 17.

= range = 17

Let's look back.

First: put them in order.

Then: smallest and biggest.

Last: take away.

Answer
= range = 17

Your turn

Try this one yourself, then check:

Range of 18, 6, 14, 13, 23
Show the answer
range = 17

More from Mean, median, mode, range

The whole lesson: Mean, median, mode, range →