what is arthmatic mean ?Descrive its marits and demarits ?
Answers
Answer:
The arithmetic mean is a measure of central tendency. It allows us to characterize the center of the frequency distribution of a quantitative variable by considering all of the observations with the same weight afforded to each (in contrast to the weighted arithmetic mean).
It is calculated by summing the observations and then dividing by the number of observations.
Merits of Mean :
1) Arithmetic mean rigidly defined by Algebraic Formula.
2) It is easy to calculate and simple to understand.
3) It is based on all observations of the given data.
4) It is capable of being treated mathematically hence it is widely used in statistical analysis.
5) Arithmetic 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) It is least affected by the fluctuation of sampling.
7) For every kind of data mean can be calculated.
Demerits of Arithmetic mean :
1) It can neither be determined by inspection or by graphical location.
2) Arithmetic mean can not be computed for qualitative data like data on intelligence honesty and smoking habit etc.
3) It is too much affected by extreme observations and hence it is not adequately represent data consisting of some extreme point.
4) Arithmetic 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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