The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.


Marks:



0-10



10-20



20-30



30-40



40-50



50-60



60-70



70-80



80-90



90-100



Frequency:



3



5



16



12



13



20



5



4



1



1



Marks



0-10



10-20



20-30



30-40



40-50



50-60



60-70



70-80



80-90



90-100



frequency



3



5



16



12



13



20



5



4



1



1



Here, the maximum frequency is 20, the corresponding class interval 50-60 is modal class


l=50, h=10, f=20, f1=13, f2 =5


Mode = l +


= 50 +


=50+ =50 + 3.18


=53.18


5