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Median of 12, 5, 9, 15, 10, 7

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

Step by step

The question

Question: find the median of 12, 5, 9, 15, 10 and 7.

Median of 12, 5, 9, 15, 10, 7

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: 5, 7, 9, 10, 12 and 15.

= 5, 7, 9, 10, 12, 15

We still have 6 numbers.

None is lost.

6 numbers ✓

2 Find the middle

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

And the next pair.

Two numbers are left in the middle: 9 and 10.

The median is halfway between them.

Halfway: we add them and divide by 2.

= median = 9 + 102

9 plus 10 is 19.

= median = 192

19 divided by 2 is 9.5.

So the median is 9.5.

= median = 9.5

Let's look back.

First: put them in order.

Last: find the middle.

Answer
= median = 9.5

Your turn

Try this one yourself, then check:

Median of 17, 3, 7, 18, 8, 6
Show the answer
median = 7.5

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