The arithmetic mean represents the equal share each value would receive if a data set’s total were redistributed evenly: mean = total of the values ÷ number of values. It may be a fraction or decimal and need not appear in the original data; interpreting it as a balance point helps connect averaging to division, ratios, and comparison of data sets, without extending to weighted or more advanced statistical means.
The mean tells you the fair share each value would get if the total were divided equally.
To find the mean:
Example: Find the mean of and .
Step 1: Add the values.
The total is .
Step 2: Count the values.
There are values.
Step 3: Divide the total by the number of values.
So, the mean is:
This means that if the total of were shared equally among groups, each group would receive . The mean does not have to be one of the original values; in this example, was not in the data set.
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