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Median of 4, -2, 7, -5, 0

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

Step by step

The question

Question: find the median of 4, −2, 7, −5 and 0.

Median of 4, −2, 7, −5, 0

The median is the middle number, once the numbers are in order.

median: the middle one, in order

1 Put them in order

Numbers below 0 are smaller than 0.

The further below 0, the smaller they are.

below 0 = smaller: −5 < −2 < 0

First we put them in order, smallest first: −5, −2, 0, 4 and 7.

= −5, −2, 0, 4, 7

We still have 5 numbers.

None is lost.

5 numbers ✓

2 Find the middle

We cross out the smallest and the biggest, one pair at a time.

And the next pair.

0 is left in the middle.

So the median is 0.

= median = 0

Let's look back.

First: put them in order.

Last: find the middle.

Answer
= median = 0

Your turn

Try this one yourself, then check:

Median of 7, −3, 12, −9, 0
Show the answer
median = 0

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