Demerits and merits -the arithmetic mean or a.m, Mathematics

Demerits and merits of the measures of central tendency

The arithmetic mean or a.m

Merits

i.  It employs all the observations given

ii. This is a very useful statistic in terms of applications. This has some applications in business management for illustration as: hypothesis testing, quality control and so on.

iii. This is the best representative of a described set of data if such data was acquired from a normal population

iv. The arithmetic mean can be determined accurately by using mathematical formulas

Demerits

i. If the data is not drawn from a 'general population, then the arithmetic mean may provide a wrong impression about the population

ii. In some situations, the arithmetic mean may provide unrealistic values especially when dealing along with discrete variables for illustration as: when working out the average no. of children in a number of families. This may be found that the average is 4.4 which is un-realistic in human beings

 

Posted Date: 2/16/2013 6:28:24 AM | Location : United States






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