Question

Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if the observations, given above, be: multiplied by 3.

Answer 1

Mean of the given data = `[ 8 + 12 + 16 + 22 + 10 + 4 ]/6`
= `72/6` = 12

multiplied by 3.
If `barx` is the mean of n number of observation x₁, x₂, x₃, ....., x_n, then mean of ax₁, ax₂, ax₃, ...., ax_n is `abarx`.

Thus, when each of the given data is multiplied by 3,
the mean is also multiplied by 3.
The mean of the original data is 12.
Hence, the new mean = 12 x 3 = 36.