What does mean by mean?

What is the actual meaning of mean?

Let say you have 10 points like this

9, 5 , 8,10,8,7,11,8,4,6,9,11,4

Where would be the mean?

another example

9, 5 , 8,10,8,7,11,8,4,178,9,11,20

Kindly, tell where would be the mean?

Can we say that mean value represents the all number of values?

or we will say that mean is the average of the nearest number?

like in this example

9, 5 , 8,10,8,7,11,8,4,6,9,11,4

mean would near to these values

like in this example,.

9, 5 , 8,10,8,7,11,8,4,178,9,11,20

mean would be near the values but would not go to the so different values with others . like 20 and 178..i meant outlair.

Can we say that mean represent the cluster?

Can we say that mean represent the cluster?

Mean is also called centro-id of points. Right ,