Question

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Demerit of averages?????????

Answer 1

Answer:

1. It is greatly affected by the values of extreme items of a series, and thus it fails to give a representative value of the series. Thus, in an office, if there are 4 clerks, and 1 officer with monthly salaries of $300, 350, 400, 450 and $2000 respectively, their average salary will come to $700, i.e. .300+350+400+450+2000/5 .

2. Here, the average value has been inflated to $700, while 4 persons out of 5 are getting much less than $700.

This is because the average value has been affected much, here, by a single value of $2000, the salary of one officer only.

3. At times, it gives a value which is not present in the series. Thus, the average of 3, 5 and 10 is 6 which is never in the series.

4. At times it gives absurd and impracticable values. Thus, the average number of children of 3 families having 2, 4 and 5 children respectively would be 11/3  or 3.67 approx. which is never possible.

5. It cannot be calculated in a distribution with open end classes without making assumptions on the size of the class intervals of the open end classes. This difficulty is not faced in case of other averages viz, Median, Quartiles, Mode etc.

6. It fails to provide a characteristic value, or a representative item where the distribution of the series is not normal and gives a U shaped curve rather than a bell shaped one.

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