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CDS Model Paper 5 Mathematics
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© examsnet.com
Question : 70
Total: 100
Students of two schools appeared for a common test carrying 100 marks. The arithmetic means of their marks for school I and II are 82 and 86 respectively. If the number of students of school II is
1.5
times the number of students of school I, what is the arithmetic mean of the marks of all the students of both the schools?
84.0
84.2
84.4
This cannot be calculated with the given data
Validate
Solution:
Let the number of students of school
I
=
x
∴ Number of students of School II
=
1.5
x
As given :
Mean of marks for school
I
=
82
and mean of marks for school II
=
86
∴ Combined mean
=
x
×
82
+
1.5
x
×
86
x
+
1.5
x
=
x
(
82
+
129
)
2.5
x
=
211
2.5
=
84.4
© examsnet.com
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