2. State the advantages and disadvantages of arithmetic mean as a measure of central
tendency,
Answers
Explanation:
(A) Merits: It is the reason that it is the most used measure of central tendency. ... Fluctuations are minimum for this measure of central tendency when repeated samples are taken from one and the same population. 5. It can further be subjected to algebraic treatment unlike other measures i.e. mode and median.
1. It cannot be located graphically.
2. A single item can bring big change in the result. For example if there are three terms 4, 7, 10 ; X is 7 in this case. If we add a new term 95, the new X is 4+7+10+95/4 = 116/4 = 29. This is a big change as compared to the size of first three terms’ X- .
3. Its value will be effective only if the frequency is normally distributed. Otherwise in case skewness is more, the results become ineffective.
4. B demerits ---In case of open end class intervals we have to assume the limits of such intervals and a little variation in X can take place. Such is not the case with median and mode, and there is no use of the open end intervals in its calculations.