The mean and standard deviation of observations are 8 and 14 respectively. If each observation be multiplied by 3, the find the new and mean and new standard deviation of the resulting observation.

Explanation

We know that if the observations `x_1,x_2,x_3…x_n` are `overset-x` and respectively, then the mean and stands deviations of `a_(x1),a_(x2),...a_(xn)` are `aoverset-x` and `|a|sigma` respectively. `therefore` New mean =`8xx3=24` and, New standard deviation `=3xx4=12`