Let x1,x2,x3,x4 and x5 be the observations with mean m and standard deviation s . The standard deviation of the observations kx1,kx2,kx3,kx4 and kx5 is
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a
s +k
b
sk
c
ks
d
s
answer is C.
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Detailed Solution
Here, m=Σxi5,s=Σxi25−Σxi52 For observations kx1,kx2,kx3,kx4,kx5,SD=k2Σxi25−kΣxi52 =k2Σxi25−k2Σxi52=kΣxi25−Σxi52=ks