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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 \(=\sqrt{k^2σ^2}\) \(=kσ\) \(=ks.\) |
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