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The mean is the average of a given set of numbers. You add the numbers together and divide the sum by the amount of numbers. For example, you would find the mean of 4,5,6,7, and 8 by adding them together to get 30. There are 5 numbers so you divide 30 by 5 and you get 6 which is your mean.
An average
In any given set, the mean is the average, which is the total of the numbers divided by how many numbers there are.
Ex. (10, 17, 20, 45, 68)
68 + 45 + 20 + 17 + 10 = 160
There are 5 numbers in this set.
160/5 = 32
The mean is 32.
There are several means in maths: the arithmetic mean, the geometric mean and the harmonic mean being the three main ones. If unspecified, a mean would normally - but not always - refer to the arithmetic mean. The arithmetic mean of a finite set of values is the sum of the values divided by their count.
The mean can also refer to the expected value of distribution of a statistical variable. In the case of a discrete variable it is the arithmetic mean as described above but, in the case of a continuous variable, X, with probability density function p(x), it is the integral of x*p(x) with respect to x over the domain of x.
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Related to.
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