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Unit 3: Classification and Tabulation of Data: Frequency and Cumulative Frequency Distribution


            Difference between Classification and Tabulation                                         Notes
            Some important points or differences between classification and tabulation are:
            (1)  Although both are necessary in statistical investigations, classification is done first and it forms
                the basis for tabulation.
            (2)  Tabulation is a mechanical function of classification. But classification is not a mechanical
                function.
            (3)  In classification, data are divided/classified in different classes as per similarities and
                dissimilarities. Under tabulation this classified data is put in rows and columns.
            (4)  Classification involves analysis of data. Tabulation is the process of presenting the data.
            Types of Tables

            Following are the important types of tables:
            (1)  One-way Table: This supplies information about only one characteristic. For example, marks
                obtained by 100 students can be illustrated in one-way table as below:


                               Marks Obtained               Number of Students

                                    0–10                            14
                                   10–20                            26
                                   20–30                            30
                                   30–40                            20
                                   40–50                            10
                                                                    100

            (2)  Two-way Table: If the information of two related characteristics is to be given, it is done by
                two-way tables. Suppose, in the above example, the students are to be classified in males and
                females the data can be re-written as below:

                              Marks Obtained                   Number of Students
                                                          Male      Female      Total

                                   0–10                    4          10         14
                                  10–20                    16         10         26
                                  20–30                    15         15         30
                                  30–40                    12          8         20
                                  40–50                    6           4         10
                                   Total                   53         47        100


            (3)  Three-way Table: In the above example, the male and female students can be further divided
                into hostellers and day-scholars, thus providing information about three different characteristics.
                This is done by a three-way table. The format of the three-way table in this case is given below:









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