Three candidates are running to be mayor of Slugville. Each has determined the typical income for the people in Slugville and is using this information to help them win the campaign.

Mayor Phibbs is running for re-election. He says, "Under my leadership, Slugville is doing great! The average income for each person is $2,000 per week!"

Challenging candidate Louisa Louis says, "Slugville is a nice town, but it really needs my help! The average income is only $100 per week."

Radical Ronnie Radford says, "No way! We must burn down the townit's awful! The average income is $0 per week."

None of the candidates is lying. Slugville has only 16 residents, and their weekly incomes are:

$0, $0, $0, $0, $0, $0, $0, $0, $200, $200, $200, $200, $200, $200, $200, and $30,600

(a) Explain how each of the candidates determined what the "average" income was for the town's residents.

(b) Does any person in Slugville have the mean income? Explain.

(c) Does any person in Slugville have the median income? Explain.

(d) Does any person in Slugville have the mode income? Explain.

(e) What do you consider to be the typical income for a resident of Slugville? Explain.

(f) If four more people moved to Slugville, each with a weekly income of $200, how would the mean, median, and mode change?