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Anand Thakur, Lovely Professional University
                                                                                        Unit 8: Descriptive Statistics



                              Unit 8: Descriptive Statistics                                    Notes


            CONTENTS
            Objectives
            Introduction
            8.1  Measure of Central Tendency
            8.2  Various Measures of Average

                 8.2.1  Arithmetic Mean
                 8.2.2  Weighted Arithmetic Mean
                 8.2.3  Median
                 8.2.4  Other Partition or Positional Measures

                 8.2.5  Mode
                 8.2.6  Relation between Mean, Median and Mode
            8.3  Measures of Dispersion
            8.4  Summary
            8.5  Keywords
            8.6  Review Questions

            8.7  Further Readings

          Objectives

          After studying this unit, you will be able to:
              Recognize the Meaning and Characteristics various measures of Central Tendency
              Define the Arithmetic Mean
              Describe the Median

              State the impression of Mode
              Explain the Measures of dispersion
          Introduction


          Let’s take a look at the most basic form of statistics, known as descriptive statistics. This branch
          of statistics lays the foundation for all statistical knowledge. Descriptive Statistics are used to
          describe the basic features of the data gathered from an experimental study in various ways. A
          descriptive statistics is distinguished from inductive statistics. They provide simple summaries
          about the sample and the measures. Together with simple graphics analysis, they form the basis
          of virtually every quantitative analysis of  data. It is necessary to be familiar with  primary
          methods of describing data in order to understand phenomena and make intelligent decisions.
          There may be two objectives for formulating a summary statistic: (1) to choose a statistic that
          shows how different units seem similar. Statistical textbooks call one solution to this objective,
          a measure of central tendency and (2) to choose another statistic that shows how they differ. This
          kind of statistic is often called measure dispersion.





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