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Question
Mathematics
If the standard deviation of the numbers -1,0,1, k is √5 where k > 0, then k is equal to
Q. If the standard deviation of the numbers
−
1
,
0
,
1
,
k
is
5
where
k
>
0
, then
k
is equal to
656
161
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A
4
3
5
16%
B
2
3
10
16%
C
6
14%
D
2
6
54%
Solution:
σ
2
=
5
,
x
=
4
k
4
1
(
1
+
0
+
1
+
k
2
)
−
16
k
2
=
5
4
k
2
+
2
16
−
k
2
=
5
16
4
k
2
+
8
−
k
2
=
5
⇒
3
k
2
+
8
=
80
3
k
2
=
72
k
2
=
24
k
=
±
24
=
2
6