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Find the mean marks of the following distribution.Marks obtainedNo. of students255306353401
Question

Find the mean marks of the following distribution.

Marks obtained
No. of students
25
5
30
6
35
3
40
1

A.

32

B.

29

C.

30

D.

31

Correct option is C


Given:

Marks obtained: 25, 30, 35, 40
Number of students: 5, 6, 3, 1

Formula Used:

Mean=(X×f)f\text{Mean} = \frac{\sum (X \times f)}{\sum f}​​
Where:
X = Marks obtained
f = Frequency (number of students)
Solution:
Total Marks obtained by the number of students:
25 × 5 +30 × 6 +35 × 3+40 × 1= 125 + 180 +105 + 40 = 450
Sum of frequencies (number of students): 5 + 6 + 3 + 1 = 15
Mean = 45015\frac{450}{ 15}​ = 30

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