3.14 PA The data below represent the percentage of workers living in each city who used public transportation to commute to work in 2010 (fictitious data).

City Percent Abbotsford 20 Barrie 32 Calgary 26 Dawson 6 Fredericton 9 Edmonton 6 Hamilton 10 Halifax 11 Kelowna 15 Mississauga 14 Montreal 53 Quebec 25 Saskatoon 3 St. John’s 4 Thunder Bay 4 Toronto 31 Vancouver 18 Winnipeg 33

a. Calculate and compare the mean and median of this distribution. Summarize the results in a paragraph.

b. Compute and compare the standard deviation and interquartile range. Summarize the results in a paragraph.

c. If you removed Montreal from this distribution and recalculated, what would happen to the mean? To the median? Why?

d. What would happen to the value of the standard deviation if you removed Montreal from this distribution and recalculated?
To the interquartile range? Why?