### What does the Mean mean in Math?

The **Mean** in Mathematics is just another word for **Average**.

Mathematician denote the Mean using the symbol \overline{x} .

The Mean is found by adding up the given Numbers divided by the Number of Numbers given.

As a Formula:

\overline{x} = Sum of given Numbers / Number of Numbers = \frac{x1+x2+x3+..+xn}{n}

**Example:** We are given 2,4,9. Then, \overline{x} = \frac{2+4+9}{3}= \frac{15}{3} = 5

The Mean is one of 3 common ways to describe the center of a set of numbers besides the Median and the Mode.

For Instance, if 3 boys weigh 100, 110 and 150 pounds, then on Average (aka their Mean Weight) they weigh 360/3=120 Pounds. The 120 pounds can be seen as a representation of the weight of the 3 boys.

Notice that the Mean uses each boy’s weight. So if only boy is extra light or extra heavy it will have a significant impact on the Mean. On the contrary, the Median (described below) is designed to not get affected by unusual weights.

### What does Median mean in Math?

The Median is the Center in a sorted list of Numbers. In case of an odd number of numbers there will be a single center number. In case of an even number of numbers in the list the Median equals the average of the 2 center numbers.

**1. Example:** We are given 4,9,2. First we have to sort the list to get 2,4,9 . The Median is 2 because it is in the Center of this sorted list. We have an odd (3) numbers in our list.

**2. Example:** We are given 6,4,9,2. First we have to sort the list to get 2,4,6,9 . This list has an even number of numbers. Thus, the Median is 5 as the average of 4 and 6.

For Instance, if 3 boys weigh 100, 110 and 150 pounds, then their Median Weight is 110 Pounds.

The 110 pounds can be seen as a representation of the weight of the 3 boys.

Notice that the Median does not get affected by unusual weights.