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Harmonic Mean
The harmonic mean also called harmonic average, in the total numbers of items of variable divided by the sum of r reciprocals of the values of the variable. In the words of W. I.G reenwald, the harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of a serried. For its calculations we must first learn the reciprocals.
Reciprocals the reciprocal of a value is that quotient obtained by diving i with the given value. For example, reciprocal of the value 2 will be ½ or 0.5 of the value 1/4 or 0.25 and so on .Reciprocals can be computed with the help of tables given in appendix with the tables in appendix.
Use of Harmonic Mean:
This measure of averages can be used in the following cases:
(1) To compute average speed. When speed is given in kilometres per hour, distance is variable and time is constant. On the other hand when speed is given in minutes for each kilometric time is variable and distance would be constant.
(2) To find out average of prices: When rate may be as follows:
(3) To study about velocity etc, it is a useful average. In short we may say that harmonic mean is useful in averaging rates and ratios where time factor is variable and the act being performed ( say distance covered )is constant. The example given will clarify this point.
Random Sampling Method In this method the units are selected in such a way that every item in the whole universe has an equal chance of being included. In the words of croxton
Advantages By definition, mode is the most typical or representative value of a distribution. Hence, when we talk of modal wage, modal size of shoe or modal size of family i
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There may be two values which occur with the same maximum frequency. The distribution is then called bimodal. In a bimodal distribution, the value of mode cannot be determined with
Classification of Universe The universe may be classified either on the basis of number of units and on the basis of existence of units as is clear from the following chart :
Applications of Standard Error Standard Error is used to test whether the difference between the sample statistic and the population parameter is significant or is d
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#There were three types of food, and the researcher recorded which foods were bought. Peanut Butter Banana Hamburger 15
Median Median is a position average. It is the value of middle item of a variable when the items are arranged according to their values either in ascending or descending order.
Application of the chi Square Test
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