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Byju's Answer
Standard XII
Mathematics
Global Maxima
Lowest value ...
Question
Lowest value of variance can be:
A
1
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B
−
1
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C
0
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D
None of these
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Solution
The correct option is
A
0
We know that
V
a
r
(
x
)
=
E
(
X
2
)
−
(
E
(
x
)
)
2
Variance is non-negative because the squares are positive or zero.
Therefore,
V
a
r
(
X
)
≥
0
Hence, the lowest value of variance is
z
e
r
o
Suggest Corrections
0
Similar questions
Q.
If the variable takes values
0
,
1
,
2
,
3
,
.
.
.
,
n
with frequencies, proportional to
n
C
0
,
n
C
1
,
n
C
2
,
.
.
.
,
n
C
n
respectively, then variance is
Q.
The value of
lim
x
→
∞
n
!
n
+
1
!
-
n
!
is
(a) 0
(b) 1
(c) −1
(d) none of these
Q.
The maximum value of x
1
/x
, x>0 is
(a) e
1
/e
(b)
1
e
e
(c) 1
(d) none of these
Q.
The value of
lim
n
→
∞
n
+
2
!
+
n
+
1
!
n
+
2
!
-
n
+
1
!
is
(a) 0
(b) −1
(c) 1
(d) none of these
Q.
Let
σ
2
1
be the variance of the dataset
{
1
,
4
,
7
,
10
,
…
,
301
}
and
σ
2
2
be the variance of the dataset
{
7
,
13
,
19
,
25
,
…
,
607
}
. Then the value of
σ
2
2
−
σ
2
1
σ
2
1
is
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