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Byju's Answer
Standard XII
Mathematics
Geometric Mean
Arithmetic me...
Question
Arithmetic mean of the following series is 41:
Marks
20
30
40
?
60
70
No. of Students
8
12
20
10
6
4
Find the missing item
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Solution
Marks
(X)
No. of Students (f)
fX
20
30
40
x
60
70
8
12
20
10
6
4
160
360
800
10x
360
280
Σ
f
=
60
Σ
f
X
=1960 + 10x
Given:
Mean,
X
= 41
X
=
Σ
X
Σ
f
41
=
1960
+
10
x
60
o
r
,
41
×
60
=
1960
+
10
x
o
r
,
2460
-
1960
=
10
x
o
r
,
500
=
10
x
o
r
,
x
=
500
10
⇒
x
=
50
m
a
r
k
s
Hence, the missing item is 50 marks
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3
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