A little bit of basic algebra, and knowing the definition of a mean, helps. Example for three numbers:
Average of 6, 8, and x is 10.
By the definition of average, solve the equation: (6 + 8 + x) / 3 = 10.
(6 + 8 + x) / 3 = 10
6 + 8 + x = 30
14 + x = 30
x = 16
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To find the missing mean in a set of data, you first need to know the sum of all the values in the data set as well as the total number of values. Once you have this information, you can calculate the missing mean by dividing the sum of all the values by the total number of values. This will give you the average value of the data set, which is the missing mean.
If there is no mean it is very rare that you will be able to find a missing number. Potentially if you have other numbers and you have a mode you can deduce the missing number by using the mode (if there needs to be one more of a certain number or a certain number cannot be increased in its count of numbers i.e. you can't have more 6's to maintain the current mode).
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