Important to Theoretical Distribution
The science of theoretical distribution under which the frequencies of a variable are derived by some mathematical model without waiting for the observation of their occurrences in actual practice or through experiment is of paramount importance. Such a method of derivation of the theoretical frequencies helps us in a large number of problems in our practical life. It provides us with the data on the basis of which the results of actual observation can be compared and analyzed. Move over such knowledge enables one to dispense with the observed data the derivation of which needs a long process of collection classification and tabulation etc. Such a series also provides a decision maker with a a sound basis to take rational and dependable decisions it is also useful in making predictions of the probable frequencies of a variable on the basis of some limited information or some theoretical of the considerations. For example with such knowledge the manufacturer of a certain article can know the standard quality of the articles which will have maximum demand so that he should manufacture the articles of the standard quality only and thus avoid the stocking of the unwanted ones.
Distribution which are not obtained by actual observations or experiments. But are deduced mathematically based on certain assumptions are called theoretical frequency distribution.