Define mean and write its merits and demerits
Answers
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DEF.The mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it,add up all the numbers, then divide by how many numbers there are.
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 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.
Hope it helps☑️
Mean which is known as the arithmetic mean.
- Definition of mean:
1) The "mean" is the "average of the numbers given in any data", where we add up all the numbers and then divide by the number of numbers in data.
- Merits:
1) It is easy to calculate and simple to understand for the learners.
2) Mean is based on all elements of the given data.
3) It is widely used in statistical analysis of any of the data because this is related to the mathematical operations.
4) Arithmetic mean can be computed even if the some distribution is not known but some of the elements and number of the elements must be known.
- Demerits:
1) The mean of any data can neither be determined by inspection nor by graphical location on any plane.
2) It is not adequately represent by the data consisting of some extreme points in it.
3) Arithmetic mean can not be computed when class intervals of the given data have open ends.
4) If any one of the data is missing then mean cannot be calculated.