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SAI INTERNATIONAL SCHOOL


                                                 ECONOMICS



                                                      Class-XI


                                                  CHAPTER 9


                     Measures of Central Tendency – Median and Mode


                                               (Lesson Note - 52)


               TOPICS TO BE COVERED-


               -Meaning of Median.

               -Steps to calculate median in individual, discrete and continuous series.

               -Problems on individual, discrete and continuous series.




               Median: -

                       Median may be defined as the middle value in the data set when its
                       elements are arranged in a sequential order, that is, in either as
                       ascending or descending order of magnitude.


                                     50% of data ≤ Median ≤ 50% of data.

               Steps to calculate Median in case of Individua series: -

                     First arrange the data either in ascending or descending order.
                                                   +1
                     Median (Me) = Size of (         )th item. Where, n:- no of data.
                                                  2
                       Odd and Even Number of items:
                       (i)    In case of odd numberitems Median = Middle item of distribution.
                       (ii)   In case of Even number of items: Median = Average of two

                              middleterms.

               Ex: Marks of five students are 42, 40, 60, 55 and 50 calculate median.


                        Step 1: Marks arranged in ascending order 40, 42, 50, 55, 60.
                                                 +1
                       Step 2: Me = size of [      ]th item.
                                                2
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