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The Hilllcrest Golf and Country Club manager selected a random sample of the members and recorded the number of rounds of golf they played last season. The reason for his interest in this data is that the club is thinking of applying a discount to members who golf more than a specified number of rounds per year. The sample of eight people produced the following number of rounds played:
13 32 12 9 16 17 16 12
a) Compute the mean for these sample data.
b) Compute the median for these sample data.
c) Compute the mode for these sample data.
d) Calculate the variance and standard deviation for these sample data.
e) Note that one person in the sample played 32 rounds. What effect, if my, does this large value have on each of the 1hree measures of location? Discuss.
f) For these sample data, which measure of location provides the best measure of the center of the data? Discuss.
g) Given this sample data, suppose the manager wishes to give discounts to golfers in the top quartile. What should the minimum number of rounds played be to receive a discount?
To what extent do you think Verwaayen and other top managers have satisfied when making these decisions?
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