A researcher sat on a bench along the main shopping street of a city center on ten successive Saturdays from 11:00 A.M. to 2:00 P.M.the three busiest shopping hours of the dayand recorded the number of times a police officer passed by. The results for the ten weeks are as follows:

Week No.: 1 2 3 4 5 6 7 8 9 10

No. of Police Officers Observed: 4 3 6 4 4 5 4 35 3 5

On week 8, local unionists held a demonstration in the city center, and the high number of observations for that week can be explained by the extra officers called in to police the rally.

a. Calculate the mode, median, and mean for the number of police officers observed.

b. Which measure of central tendency best represents typicality for these data? Discuss the issues involved in choosing the most appropriate means of describing the data.

c. Imagine that the unionists had decided to hold a regular demonstration in the city center on alternating weeks. The results recorded for the same study would be as follows:

Week No.: 1 2 3 4 5 6 7 8 9 10

No. of Police Officers Observed: 4 30 6 31 6 52 4 35 4 34

Would the measure of central tendency you recommended in part b still be the best measure of typicality? Explain why.