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Statistical Methods in Economics


                   Notes                       Table 1: Frequency distribution of marks secured by 60 students.

                                         Class interval               Tally              Frequency (No. of students
                                                                                         securing marks which fall
                                                                                         in the class interval)

                                         0 to 10                      |                             1
                                         11 to 20                     ||                            2
                                         21 to 30                     ||||                          4
                                         31 to 40                     ||||   ||                     7
                                         41 to 50                     |||| ||||   ||               12
                                         51 to 60                     |||| ||||   ||||             15

                                         61 to 70                     |||| ||||   |                11
                                         71 to 80                     ||||                          4
                                         81 to 90                     |||                           3
                                         91and above                  |                             1

                                         Total                                                     60
                                  We shall now consider construction of a frequency distribution table of a continuous variable.
                                  Example 1 (a): The heights of 50 students to the nearest centimetre are as given below:
                                                151, 147, 145, 153, 156,     152, 159, 153, 157, 152,
                                                144, 151, 157, 147, 150,     157, 153, 151, 149, 147,
                                                151, 147, 155, 156, 151,     158, 149, 147, 153, 152,
                                                149, 151, 153, 150, 152,     154, 150, 152, 149, 151,
                                                151, 154, 155, 152, 154      152, 156, 155, 154, 150.
                                  Construct a frequency distribution table.
                                  We form the classes as follows: 145-146, 147-148, 149-150, 151-152, 153-154, 155-156, 157-158, 159-160
                                  and construct the following frequency table:

                                                  Table 2: Frequency distribution of heights of 50 students
                                         Class interval               Tally             Frequency (Number of
                                         (Height in cm)                                 students having height)

                                         145-146                      ||                          2
                                         147-148                      ||||                        5
                                         149-150                      |||| |||                    8
                                         151-152                      |||| ||||   ||||           15
                                         153-154                      ||||   ||||                 9
                                         155-156                      ||||   |                    6
                                         157-158                      ||||                        4

                                         159-160                      |                           1
                                         Total                                                   50





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