 Hello and welcome to the session. In this session we are going to discuss the following question which says that Locate the median from the following data. X represents the marks and F represents the number of students. There are first students who got 30 marks, 15 students with 20 marks, 20 students with 15 marks, 6 students with 30 marks, 25 students with 35 marks and 35 students with 25 marks. And we know that if the series is discrete then median is equal to the size of n plus 1 by 2th item where n is the sum of the frequencies x, denoted by summation of x. With this key idea let us proceed with the solution. Since the given data is in gumbel form, so first we shall arrange the series in ascending order with respect to the marks that of x. Now we shall find the cumulative frequency. The first entry in the cumulative frequency column will be same as that of frequency that is 20. Second will be 20 plus 15 that is 35. Next is 35 plus 35 that is 70, then 70 plus 4, 74, 74 plus 25, 99 and 99 plus 6 that is 105 is equal to sum of the frequencies that is summation of f which is equal to 105. And from the key idea we know that if the series is discrete then median is given by the size of n plus 1 by 2th item where median is equal to the size of n plus 1 by 2th item and n is equal to 105 therefore 105 plus 1 by 2th item which is equal to the size of 106 by 2th item which is equal to size of 53rd item. Now cumulative frequency just greater than 53 is 70 with the corresponding x value as 25. So median is given by the size of 53rd item that is equal to 25 therefore the median for the given series is 25 which is the required answer. This completes our session. Hope you enjoyed this session.