Page 189 - Data Science class 10
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(n + 1)
                    D  = 7 ×   10th data
                     7
                             (22 + 1)
                       = 7 ×
                               10
                       = 16.1th data

               i.e., data between positions 16 and 17
            Which is 54 + 0.1 × (55 – 54)
                       = 54.1
                              (n + 1)
                    D  = 8 ×   10th data
                     8
                             (22 + 1)
                       = 8 ×
                               10
                       = 18.4th data
               i.e., data between positions 18 and 19
            Which is 58 + 0.4 × (64 - 58)

                       = 60.4
                              (n + 1)
                    D9 = 9 ×   10th data
                             (22 + 1)
                       = 9 ×
                               10
                       = 20.7th data
               i.e. data between positions 20 and 21
            Which is 65 + 0.7 × (66 – 65)

                       = 65.7
            Hence, we can represent the deciles for the dataset with its positions and corresponding values in a table as given
            below:

                                          Decile          Data Position          Value

                                            1                  2.3                26.6
                                            2                  4.6                31.8

                                            3                  6.9                35.9
                                            4                  9.2                39.6
                                            5                  11.5               43.5

                                            6                  13.8               46.6
                                            7                  16.1               54.1

                                            8                  18.4               60.4
                                            9                  20.7               65.7
            An example of the use of deciles is in school rankings. Students in the top 10 percentile or highest decile will be
            rewarded, whereas students in the last 10 percentile or lowest decile will be given extra classes to increase their
            scores.






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