10. The Hillcrest 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 twelve people produced the following number of rounds played: 13 34 12 9 16 17 15 12 18 11 12 15 (A) Compute the mean, median, mode, range, lower quartile, upper quartile, variance and standard deviation.

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10. The Hillcrest 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 twelve people produced the following number of rounds played:
13
34
12
16
17
15
12
18
11
12
15
(A) Compute the mean, median, mode, range, lower quartile, upper quartile, variance and standard
deviation.
(B) Construct a box and whisker plot
(C) Indicate whether the data are skewed or symmetrical.
(D) Note that one person in the sample played 34 rounds. What effect, if any, does this large value have on
each of the central measures of location (mean, median, mode)?
(E) Given this sample data, suppose the manager wishes to give discounts to golfers in the upper quartile.
What should the minimum number of rounds played be to receive a discount?
(A) Find the z-score of 20 rounds played.
Transcribed Image Text:10. The Hillcrest 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 twelve people produced the following number of rounds played: 13 34 12 16 17 15 12 18 11 12 15 (A) Compute the mean, median, mode, range, lower quartile, upper quartile, variance and standard deviation. (B) Construct a box and whisker plot (C) Indicate whether the data are skewed or symmetrical. (D) Note that one person in the sample played 34 rounds. What effect, if any, does this large value have on each of the central measures of location (mean, median, mode)? (E) Given this sample data, suppose the manager wishes to give discounts to golfers in the upper quartile. What should the minimum number of rounds played be to receive a discount? (A) Find the z-score of 20 rounds played.
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