question_answer

  The following table shows the marks obtained by 100 students of class X in a school during a particular academic session. Find me mode of this distribution.

Marks	No. of students
less than 10 less than 20 less than 30 less than 40 less than 50 less than 60 less than 70 less than 80	7 21 34 46 66 77 92 100

 

Answer:

             By the given question

Marks (C.I.)	No. of students
0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 70 - 80	7 = 7 21 ? 7 = 14 34 ? 21 = 13 46 ? 34 = 12 66 ? 46 = 20 77 ? 66 = 11 92 ? 77 = 15 100 ? 92 = 8

Here maximum frequency is 20 and the corresponding class is 40-50. So, 40-50 is the modal class. We have,                                 Mode