Question

Marcel has a data set for which the mean is 33. Each value in the data set is multiplied by 5 what is the mean for the new data set

Answer 1

consider a dataset : {2, 4}

Answer 2

its mean = (2 + 4)/2 = 3

Answer 3

Multiply each element by 5,
and see how it affects the mean

Answer 4

If you will notice, 5 simply factors out from each element

Answer 5

new dataset : {2*5, 4*5}

new mean = (2*5 + 4.5)/2 = 5(2+4)/2 = 5*(old mean)

Answer 6

In general, multiplying each value in the dataset by some by some number "k" increases the mean by a factor of "k"