+...+ / 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 = 



 

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