## 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 = 44****then 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.)

## Your Turn

## 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