10. Suppose the standard deviation of the series kį, kz, kz, .... k, is 5. What will be the standard
deviation of the following series ?
s = 5
(1) k, +2, k, + 2, kg + 2, ..., ky + 2
(ii) 3k,, 3k, 3k3 3k
(a) (i) 7 (ii) 3
(b) (i) 5 (ii) 3 (c) (i) 5 (ii) 15 (d) (i) 7 (ii) 15
then
Answers
Answered by
4
Answer:
S.D=
n
∑(x−x)
2
x
ˉ
=
4
∑
=
4
−1+0+1+k
=
4
k
Now
5
=
4
(−1−
4
k
)
2
+(0−
4
k
)
2
+(1+
4
k
)
2
+(k−
4
k
)
2
⇒5×4=2(1+
16
k
)
2
+
8
5k
2
⇒18=
4
3k
2
⇒k
2
=24
⇒k=2
6
.
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