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Median of 13, 7, 8, 20, 11, 9, 4

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

Step by step

The question

Question: find the median of 13, 7, 8, 20, 11, 9 and 4.

Median of 13, 7, 8, 20, 11, 9, 4

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

median: the middle one, in order

1 Put them in order

First we put them in order, smallest first: 4, 7, 8, 9, 11, 13 and 20.

= 4, 7, 8, 9, 11, 13, 20

We still have 7 numbers.

None is lost.

7 numbers ✓

2 Find the middle

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

And the next pair.

And the next pair.

9 is left in the middle.

So the median is 9.

= median = 9

Let's look back.

First: put them in order.

Last: find the middle.

Answer
= median = 9

Your turn

Try this one yourself, then check:

Median of 27, 6, 9, 40, 20, 13, 2
Show the answer
median = 13

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