The following table show the marks of 85 students of a class X in a school. Find the modal marks of the distribution: Marks(Below) 10 20 30 40 50 60 70 80 90 100 Number of Students 5 9 17 29 45 60 70 78 83 85

Dear student,
Here is the solution.
Here, the class interval having maximum frequency (equal to 16) is 40-50. Hence, 40-50 is the modal class.So, modal marks=L+(fm-f12fm-f1-f2)×h where L= Lower limit of the modal class=40fm=Frequency of modal class=16f1=Frequency of the class interval just preceeding the modal class=12f2=Frequency of the class just succeeding the modal class=15h=class size=10So, required modal marks=40+{16-12(2×16)-12-15}×10=40+8=48Regards

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