Slugvillie has only 16 residents

Question

Their weekly incomes are: $0 $0 $0 $0 $0 $0 $0 $0 $200 $200 $200 $200 $200 $200 $200 and $30,600

H. Suppose four more people ,oved to Slugville. Each has a weekly income pf $200

How would the mean, median, and mode change?
A. New mean :
B. New Median :
C. New Mode :

Answer 1

A. New mean:

Old mean = (0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 200 + 200 + 200 + 200 + 200 + 200 + 200 + 30,600) / 16 = $1,900

New mean = (0 + 0 + 0 + 0 + 0 + 0 + 0 + 0 + 200 + 200 + 200 + 200 + 200 + 200 + 200 + 30,600 + 200 + 200 + 200 + 200) / 20 = $2,050

B. New Median:

Old median = $200

New median = The 10th and 11th values in the ordered list of incomes are the two middle values, which are both $200, so the new median is still $200.

C. New Mode:

Old mode = $200

New mode = The most frequently occurring value in the list is still $200, so the new mode is still $200.