. Golf A local high school golf team has eight members on their team. The scores

Question

. Golf A local high school golf team has eight members on their team. The scores (measured in strokes) for the first match of the season are listed below for each of the eight members. Answer this question without the use of JMP.

77 91 75 69 80 74 88 88

(a) Calculate the mean score for the high school golf team during their first match.

(b) Calculate the median score for the high school golf team during their first match.

(c) Fill in the blank

Suppose the player with the best score (in golf a low score is better) in the lineup above actually scored a 76. The mean score of the eight golf scores would___ . The median score of the eight golf scores would_____ . We conclude that the_______ is robust to extreme observations based on the first two answers.

i. stay the same, increase, median

ii. increase, decrease, median 1

iii. increase, stay the same, mean

iv. increase, stay the same, median

v. increase, increase, median

assume that

(d) The variance of the eight scores is 57.27. Calculate the standard deviation. Round final answer to the nearest three decimal places.

(e) Which percentile does the answer in part (b) correspond to? Enter your answer as an integer without units.

Explanation / Answer

a) The mean score for the high school golf team during their first match is 80.25

b) The median score for the high school golf team during their first match is 78.50

d) The variance of the eight scores is 62.79. The standard deviation.(Rounded final answer to the nearest three decimal places.) = 7.92

c) Suppose the player with the best score (in golf a low score is better) in the lineup above actually scored a 76. The mean score of the eight golf scores would be 81.13 . The median score of the eight golf scores would be 78.50. We conclude that the median is robust to extreme observations based on the first two answers.

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