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Uses
Arithmetic mean is widely used because of the following reasons:
Mean is the simplest average to understand and easy to compute.
It is relatively reliable in the sense that it does not vary too much when repeated samples are taken from one and the same population, at least not as much as some other kind of statistical descriptions.
The mean is typical in the sense that it is the center of gravity balancing the values on either side of it.
Mean Absolute Deviation To avoid the problem of positive and negative deviations canceling out each other, we can use the Mean Absolute Deviation which is given by
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