Q. 245.0( 1 Vote )

The mean an

Answer :

Let us assume the observations be x1, x2, x3, x4, x5 and x6

It is given in the question that,


Mean = 8 and Standard deviation = 4



Now, according to question if each observation is multiplied by 3 and the resulting observations are yi then, we have:


yi = 3xi





= 3 × 8


= 24


We know that,





Hence, from (i) and (ii) we have:




Now, by substituting the values of xi and in (ii) we have:





Therefore, standard deviation of new observation = = 12

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