What is statistical average? What desirable properties should an average possess?

Mean is considered as the statistical average. Statistical average represents the quotient of the sum of the frequencies in the data and number of frequencies.
Properties for an average - 

• It should be easy to find
• It should represent the whole data.
• It should be a absolute number
• It should not be affected by the sampling errors.
• It should not be affected wholly by the extremes.