Another Standard Deviation Dilema?

Question

(g,h,i,j,k,l) has a mean of A and a Standard Deviation of B.

What is the mean and standard deviation of (5+g, 5+h, 5+i, 5+j, 5+k, 5+l)?

Please show your work!!

Answer 1

5+A and B

There is no work, it is a conceptual question. When you add the same value to each measurement, that adds that value to the mean but the deviation stays the same.

Answer 2

The mean is
(5+g+5+h+5+i+5+j+5+k+5+l)/6
=(30+g+h+i+j+k+l)/6
=(30)/6+(g+h+i+j+k+l)/6
=5+A

The standard devaition is B because the deviation between the numbers has not changed.