Let a, b, c, d, e be the observations with the mean m and standard deviation s. The standard deviation of the observations kx1, kx2, kx3, kx4, kx5 is?
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Answer:
The standard deviation will be ks.
Step-by-step explanation:
we know that standard deviation
s = √[Σxi²/5 - (Σxi/5)²]
Now for the new sample kx1, kx2, kx3, kx4, kx5 i.e when each term is multiplied by k, standard deviation is
S = √[Σkxi²/5 - (Σkxi/5)²]
= √[k² Σxi²/5 - k²(Σxi/5)²]
= k √[Σxi²/5 - (Σxi/5)²]
=> S = ks.
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