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Range of 4, 9, 2, 7

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

Step by step

The question

Question: find the range of 4, 9, 2 and 7.

Range of 4, 9, 2, 7

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: 2, 4, 7 and 9.

= 2, 4, 7, 9

We still have 4 numbers.

None is lost.

4 numbers ✓

2 Smallest and biggest

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

The smallest is 2.

The biggest is 9.

= smallest = 2, biggest = 9

3 Take away

The range is the biggest minus the smallest.

= range = 9 − 2

9 minus 2 is 7.

= range = 7

Let's look back.

First: put them in order.

Then: smallest and biggest.

Last: take away.

Answer
= range = 7

Your turn

Try this one yourself, then check:

Range of 5, 11, 4, 9
Show the answer
range = 7

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