Define mean and discuss its merits and demerits

1.	Define mean and discuss its merits and demerits
Answer» Merits of mean and Demerits Merits of Mean : 1)\tArithmetic mean rigidly defined by Algebraic Formula.2)\tIt is easy to calculate and simple to understand.3)\tIt is based on all observations of the given data.4)\tIt is capable of being treated mathematically hence it is widely used in statistical analysis.5)\tArithmetic mean can be computed even if the derailed distribution is not known but some of the observation and number of the observation are known.6)\tIt is least affected by the fluctuation of sampling.7) For every kind of data mean can be calculated.Demerits of Arithmetic mean : 1)\tIt can neither be determined by inspection or by graphical location.2)\tArithmetic mean can not be computed for qualitative data like data on intelligence honesty and smoking habit etc.3)\tIt is too much affected by extreme observations and hence it is not adequately represent data consisting of some extreme point.4)\tArithmetic mean can not be computed when class intervals have open ends.5) If any one of the data is missing then mean can not be calculated.

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