The marks obtained by 60 students in a certain subject out of 75 are given below : array |cc| Marks & Number of Students 15-20 & 4 20-25 & 5 25-30 & 11 30-35 & 6 35-40 & 5 40-45 & 8 45-50 & 9 50-55 & 6 55-60 & 4 60-65 & 2 array What is the median?

Step-by-step solution

array |c|c|c|c| Marks & Midpoint & f & c f 15-20 & 17.5 & 4 & 4 20-25 & 22.5 & 5 & 9 25-30 & 27.5 & 11 & 20 30-35 & 32.5 & 6 & 26 35-40 & 37.5 & 5 & 31 40-45 & 42.5 & 8 & 39 45-50 & 47.5 & 9 & 48 50-55 & 52.5 & 6 & 54 55-60 & 57.5 & 4 & 58 60-65 & 62.5 & 2 & 60 array n=60 - The class interval containing n^ th 2 or 30^ th item is 35-40. Therefore, 35-40 is the median class. We know that aligned & Median =l+ n 2 -c f h & Here, l=35, n=60, f=5, h=5, c=26 & Median =35+ 30-26 5 5 & M =39 aligned