## How to discover the average Value

To uncover the Median, ar the number in value order and also find the middle.

You are watching: How to find the middle number between two numbers

### Example: discover the average of 12, 3 and 5

Put them in order:

3, 5, 12

The middle is 5, so the typical is 5.

### Example: 3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29

When we put those numbers in order us have:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

There are fifteen numbers. Our center is the eighth number:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56

The average value the this set of number is 23.

(It doesn"t matter that part numbers room the very same in the list.)

## Two numbers in the Middle

BUT, with an even amount of numbers things space slightly different.In that instance we find the middle pair of numbers, and also then discover the worth that is half way in between them. This is easily done by including them together and dividing by two.

### Example: 3, 13, 7, 5, 21, 23, 23, 40, 23, 14, 12, 56, 23, 29

When we put those number in order we have:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56

There are currently fourteen numbers and so us don"t have just one center number, we have a pair of middle numbers:

3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56

In this instance the middle numbers room 21 and 23.

To uncover the worth halfway between them, add them together and also divide by 2:

21 + 23 = 44then 44÷2 = 22

So the Median in this instance is 22.

(Note the 22 was not in the perform of numbers ... But that is yes sir because fifty percent the number in the list are less, and fifty percent the numbers room greater.)

## Where is the Middle?

A quick method to uncover the middle:

Count how countless numbers, add 1, then divide by 2

### Example: There space 45 numbers

45 plus 1 is 46, then division by 2 and also we obtain 23

So the average is the 23rd number in the sorted list.

### Example: There room 66 numbers

66 add to 1 is 67, then divide by 2 and also we gain 33.5

33 and a half? That means that the 33rd and 34th numbers in the sorted list space the two center numbers.

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So to find the median: include the 33rd and also 34th numbers together and divide by 2.

693, 1457,739, 1458, 1459, 3055, 3056, 3057, 3792, 3793
median Mode central Measures