1.

The frequency distribution of marks obtained by 60 students of a class are given below:10-2020-3030-4040-5050-60Marks:No. of students:12357Marks:60-7070-8080-9090-10013.2No. of students:4[Ans: 85 marks]Calculate the average marks obtained by the students.​

Answer»

Answer:

C.I f CF

0 - 10 2 2

10 - 20 10 12

20 - 30 12 24

30 - 40 15 39

40- 50 13 52

50 - 60 8 60

60 - 70 4 64

To find MEDIAN, we need to find Median class first,

Total no of students(N)=64

2

N

=

2

64

=32

From Cf we can see 32 is more than 24 and less than 39, So, Median Class =30−40

Now,

M=l+

f

(

2

N

−C)

×h

where, l= lower limit of median class=30,

C= PRECEDING cumulative frequency of median class=24,

f= frequency of median class=15,

h= class size=10

M=30+

15

32−24

×10

=30+

15

8

×10

=30+5.33=35.33


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