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 mode?

Step-by-step solution

The class interval for highest frequency is 25-30 . There fore, 25-30 is the mode class. We know that Mode =l+ f_m-f_ m-1 (f_m-f_ m-1 )+ (f_m-f_ m+1 ) h aligned & Here , l=25, f_m=11, f_ m-1 =5, f_ m+1 =6, h=5 & Mode =25+ 11-5 (11-5)+(11-6) 5 & Mode =27.727 27.73 aligned