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Byju's Answer
Standard X
Mathematics
Direct Method of Finding Mean
If the mean o...
Question
If the mean of
5
observations
x
,
x
+
2
,
x
+
4
,
x
+
6
and
x
+
8
is
11
, find the value of
x
.
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Solution
We know that,
Mean
=
S
u
m
o
f
t
h
e
g
i
v
e
n
o
b
s
e
r
v
a
t
i
o
n
T
o
t
a
l
n
u
m
b
e
r
o
f
o
b
s
e
r
v
a
t
i
o
n
Sum of the given observations
=
x
+
(
x
+
2
)
+
(
x
+
4
)
+
(
x
+
6
)
+
(
x
+
8
)
=
x
+
x
+
2
+
x
+
4
+
x
+
6
+
x
+
8
=
5
x
+
20
Total number of observations
=
5
Therefore, Mean
=
(
5
x
+
20
)
5
Also, Mean
=
11
(given)
⇒
11
=
(
5
x
+
20
)
5
⇒
55
=
5
x
+
20
or
x
=
7
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If the mean of five observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is
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