= 1-21=2
18. Case Study II
Students Studying in Class Room
In a mathematic class, a teacher explain the
concept for determine the mean by defining
the formula =
Σfx,
Efi
7
Further, a teacher give one example for
explaining the above concepts.
The marks obtained by 30 students of
class X of a certain school in a mathematics
paper consisting of 100 marks are
presented in table below
Class interval
10-25
25-40
40-55
55-70
70-85
85-100
Number of
Students
2
3
7
6
6
6
(a) Find the average marks obtained by
the students.
(i) 61
(ii) 62
(iii) 63
(iv) 64
Answers
Given : The marks obtained by 30 students of cla ss X of a certain school in a mathematics paper consisting of 100 marks
To Find : the average marks obtained
(i) 61
(ii) 62
(iii) 63
(iv) 64
Solution:
Cla ss interval f Mean d= (mean-62.5)/15 d*f
10-25 2 17.5 -3 -6
25-40 3 32.5 -2 -6
40-55 7 47.5 -1 -7
55-70 6 62.5 0 0
70-85 6 77.5 1 6
85-100 6 92.5 2 12
30 -1
Mean = 62.5 + 15 x (-1)/30
= 62.5 - 0.5
= 62
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