Marks Obtained in a class are 12, 15, 10, 25, 30. The number of students who ha ve obtained these marks are 5, 4, x, 6 and 3 respectively. If the average marks in the class are 15, identify the missing value
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Answer:
3
Explanation:
Solution
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x
f
fx cf
0 1 0 1
1 3 3 4
2 6 12 10
3 10 30 20
4 5 20 25
5 5 25 30
∑f=30 ∑fx=90
Mean =
∑f
∑fx
=
30
90
=3
Median = size of (
2
N
)th obs
n
= size of (
2
30
)th obs
n
= size of 15th obs
n
=3
Mode =3 marks (as highest frequency is 10.)
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