What are the merits of arithmetic mean?
Answers
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.
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Merits of Arithmetic Mean are-
•It is rigidity defined, simple, easy to understand and easy to calculate.
It is rigidity defined, simple, easy to understand and easy to calculate.•It is based upon all the observations.
It is rigidity defined, simple, easy to understand and easy to calculate.•It is based upon all the observations.•Its value being unique, we can use it to compare different sets of data.
It is rigidity defined, simple, easy to understand and easy to calculate.•It is based upon all the observations.•Its value being unique, we can use it to compare different sets of data.•It is least affected by sampling fluctuations.
It is rigidity defined, simple, easy to understand and easy to calculate.•It is based upon all the observations.•Its value being unique, we can use it to compare different sets of data.•It is least affected by sampling fluctuations.•Mathematical analysis of mean is possible.So, it is relatively reliable.
Demerits of Arithmetic Mean are-
•It cannot be determined by the inspection nor it can be located graphically
•It cannot be determined by the inspection nor it can be located graphically•Arithmetic mean cannot be used for qualities characteristics such as intelligent,honesty,etc.
•It cannot be determined by the inspection nor it can be located graphically•Arithmetic mean cannot be used for qualities characteristics such as intelligent,honesty,etc.•It may lead to wrong conclusions if the details of the data from which it computed are not given.
•It cannot be determined by the inspection nor it can be located graphically•Arithmetic mean cannot be used for qualities characteristics such as intelligent,honesty,etc.•It may lead to wrong conclusions if the details of the data from which it computed are not given.•It cannot be obtained if a single observation is missing.
•It cannot be determined by the inspection nor it can be located graphically•Arithmetic mean cannot be used for qualities characteristics such as intelligent,honesty,etc.•It may lead to wrong conclusions if the details of the data from which it computed are not given.•It cannot be obtained if a single observation is missing.•It cannot be calculated if the extreme class is open, e.g., below 10 or above 90.
class is open, e.g., below 10 or above 90.•It cannot be used in the study of rations, rates,etc.
class is open, e.g., below 10 or above 90.•It cannot be used in the study of rations, rates,etc. ❣️Hope it helps you ❣️