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Average
The Average, sometimes called
X-Bar, is calculated for a set of n data values as:
An example of its use
is as the plotted statistic in an X-Bar Chart. Here, the n is the subgroup
size, and x-bar indicates the average of the observations in the subgroup.
When dealing with subgrouped
data, you can also calculate the overall average of the subgroups. It is
the average of the subgroups' averages, so is sometimes called X-doublebar.
where n is the subgroup
size and m is the total number of subgroups included in the analysis.
When the subgroup size
is 1, this equation simplifies to:
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