Q. 245.0( 1 Vote )

# The mean an

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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