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Quantitative Techniques – I                                       Neha Tikoo, Lovely Professional University




                    Notes                       Unit 6: Measures of Central Tendency


                                     CONTENTS
                                     Objectives
                                     Introduction

                                     6.1  Average
                                          6.1.1  Functions of an Average
                                          6.1.2  Characteristics of a Good Average

                                          6.1.3  Various Measures of Average
                                     6.2  Arithmetic Mean
                                          6.2.1  Calculation of Simple Arithmetic Mean
                                          6.2.2  Weighted Arithmetic Mean
                                          6.2.3  Properties of Arithmetic Mean

                                          6.2.4  Merits and Demerits of Arithmetic Mean
                                     6.3  Median
                                          6.3.1  Determination of Median

                                          6.3.2  Properties of Median
                                          6.3.3  Merits, Demerits and Uses of Median
                                     6.4  Other Partition or Positional Measures
                                          6.4.1  Quartiles
                                          6.4.2  Deciles

                                          6.4.3  Percentiles
                                     6.5  Mode
                                          6.5.1  Determination of Mode

                                          6.5.2  Merits and Demerits of Mode
                                          6.5.3  Relation between Mean, Median and Mode
                                     6.6  Geometric Mean
                                          6.6.1  Calculation of Geometric Mean
                                          6.6.2  Weighted Geometric Mean

                                          6.6.3  Geometric Mean of the Combined Group
                                          6.6.4  Average Rate of Growth of Population
                                          6.6.5  Suitability of Geometric Mean for Averaging Ratios

                                          6.6.6  Properties of Geometric Mean
                                          6.6.7  Merits, Demerits and Uses of Geometric Mean
                                                                                                         Contd...




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