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Unit 1: Definition of Statistics, Importance and Scope of Statistics and Its Limitations


                According to King, “The Science of Statistics is the method of judging collective, natural or social  Notes
                phenomenon from the results obtained from the analysis or enumeration or collection or estimation.
                According to Croxton and Cowden, “Statistics may be defined as the collection, presentation, analysis
                and interpretation of numerical data.”
                A. L. Bowley tried to define Statistics in this group also. He was of the opinion that, “Statistics
                is the science of measurement of social organism, regarded as a whole in all its manifestations.”
                According to Seligman, “Statistics is the science which deals with the methods of collecting, classifying,
                presenting, comparing and interpreting of numerical data collected to throw some light on any sphere of
                enquiry.”
                On the basis of the above definitions it may be said that Statistics are numerical statements of
                facts capable of analysis and interpretation and science of Statistics are a study of principles
                and the method used in the correction, presentation and analysis of numerical data in any
                sphere of enquiry.
            1.2 Importance and Scope of Statistics

            Scope of Statistics

            The scope of statistics are concerned with the new dimensions in the definition of statistics. In other
            words we can say—Are statistics a science or an art or both ? Science is concerned with the systematised
            body of knowledge. It shows the relationship between cause and effects. So far as art is concerned, it
            refers to the skill of collecting and handling of data to draw logical inference and arrive at certain
            results. Statistics may be used as a science and as an art. In this regard the following definitions may
            be given:
            As per Netter and Wanerman—”Statistics methods are mathematical techniques used to facilitate the
            interpretation of numerical data secured from groups of individuals.”
            In the words of Paden and Lindquist—”Statistical methods are mathematical techniques used to facilitate
            the interpretation of numerical data secured from groups of individuals.”
            According to Kaney and Keeping—”Statistics has usually meant the science and art concerned with the
            collection, presentation and analysis of quantitative data so that intelligent judgement may be made upon
            them.”
            According to Anderson and Bancraft—”Statistics is the science and art of the development and application
            of the most effective method of collecting, tabulating and interpreting quantitative data in such a manner that
            the fallibility of conclusions and estimates may be assessed by means of inductive reasoning based on mathematics
            of probability.”




                        “Statistics are the straw out of which, I like every other economist have to make the
                        bricks.”

            Importance Or Significance of Statistics

            The importance of statistics is now being felt in almost every field of study. In fact, it is difficult to
            mention a subject which does not have any relation with the science of statistics.   As a matter of fact
            statistical methods are common ways of thinking and hence are used by all types of persons. Suppose
            a person wants to purchase a car and he goes through the price list of various companies and makers,
            to arrive at a decision, what he really aims at is to have an idea about the average level and the range
            within which the prices vary, though he may not know a word about these terms. No doubt to say
            that statistical methods are so closely connected with the human actions and behaviour that all human
            activity may be explained by statistical method. The importance of statistics can be shown in the
            following heads:
            Importance in Economics: In the study of economics the use of statistical methods are of great
            importance. Most of the economic principles and doctrines are based on the study of a large number
            of units and their analysis. By statistical analysis we can study the ways in which people spend their



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