The definition of a balance point is when a places heat output equals the heat input or when weight is equally distributed when resting on a single spot. When both sides have the same quantity or mass. We can think of the mean as the balancing point which is a fancy way of saying that the total distance from the mean to the data points below the mean is.
If we find the distance between every point and the mean add the distances on each.
Here x is balanced by 4 1s so x must be 4. Please leave comments below and if you have any requests please be sure to share them. This is how you can find the mean of a data set without doing any math. They freak out when I do not allow calculations of any kind.