if the mean of observations X1,X2,X3,......xn is x, then mean of new observations X1+A1,X2+a,x2-a,......X+a is (. )
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If the mean of n observations x
1
,x
2
, ....... x
n
is
x
ˉ
,then the sum of deviations of observations from mean is
A
0
B
n
x
ˉ
C
n
x
ˉ
D
none of these
ANSWER
∵
n
x
1
+x
2
.....+x
n
=
x
ˉ
.......... (i)
∴ Req. sum =(x
1
−
x
ˉ
)+(x
2
−
x
ˉ
)+......+(x
n
−
x
ˉ
)
=(x
1
+x
2
+......x
n
)−n
x
ˉ
=n
x
ˉ
−n
x
ˉ
=0 (from eq. (i))
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