Even though mean refers to one of the measures of average in statistics, it is the most commonly used measure of central tendency, because it is based on all the data values and least affected by fluctuations in sampling. Mean is of three types based on the method of computation:
1. Arithmetic Mean
2. Geometric Mean
3. Harmonic Mean

Mean is a central measure which is used in describing a data distribution.
Indeed a data set is described by mean along with a measure of dispersion like range or variance.
Mean in statistics is also called Expectation or expected value when computed for random variables associated with probability experiments. In such cases the mean is essential to compute the probabilities of the variable assuming a specific discrete value or a range of values in an interval.