1.

Let a,b,c,d and e be the observation with mean 'm' and standard deviation 's'.Then,find the standard deviation of the observations a+k,b+k,c+k,d+k,e+k and ka,kb,kc,kd,ke.

Answer»

We Know that, 

If any constant is added in each observation, than standard deviation remains same.

∴ The standard deviation of 

a+k,b+k,c+k,d+k and e+k is 'S'.

New variance after multiplying each observation by constant k is k2σ2

∴ New standard deviation of 

ka,kb,kc,kd and ke is

\(=\sqrt{k^2σ^2}\)

\(=kσ\)

\(=ks.\)



Discussion

No Comment Found

Related InterviewSolutions