SOLUTION: The mean of a set of numbers is 500. a. If 10 is added to each of the numbers in the set, then what will be the mean of the new set? b. If each of the numbers in the set are mult

+...+ / n = 500    (1)



(a)

Adding 10 to each term gives



+...+ / n 

Notice we've add 'n' 10's:

= ( +...+ ) / n



Writing it slightly different:

= (  ) + (+...+ ) / n 



The second paren's is just 500  (from (1))

=    10 + 500  = 



(b)

Multiplying each term by  k  results in a new mean that is  k*(original_mean)



So the new mean if you multiply by -5   is   -5 * 500 =