Question

For the Spurs basketball team, scores for the last 50 games since 01/02/2018 game are listed...

For the Spurs basketball team, scores for the last 50 games since 01/02/2018 game are listed below. By using only scores with two digits, construct a stem and leaf plot for the data:
100 106 103 110 107 81 112 99 100 83 86 114 108 78 113 106 91 111 129 105
99 109 119 110 116 112 100 107 94 93 108 98 117 89 98 124 103 106 103 100
110 112 116 98 98 92 101 97 103 91 (Scores extracted from Spurs.com)
f. By using all 50 scores, what is the standard deviation?
g. By using all 50 scores, find the value that is 2 standard deviations below the mean?
h. By using only scores with 2 digits from your plot, what is the mean?
i. By using only scores with 2 digits from your plot, what is the standard deviation?
j. By using only scores with 2 digits from your plot, find the value that is 1 standard deviation above the mean?
7 8
8 1369
9 12347888899

Homework Answers

Answer #1

By using all 50 scores, what is the standard deviation?

Answer is 10.61

Formula in excel : =STDEV(A1:T2,A3:J3)

By using all 50 scores, find the value that is 2 standard deviations below the mean?

2nd standard deviation below = mean - 2standard deviation = 103.3 - 10.61 - 10.61 = 82.08

MEan = 103,3

By using only scores with 2 digits from your plot, what is the standard deviation?

Stem Leaf
7 1
8 1 3 6 9
9 1 1 2 3 4 7 8 8 8 8 9 9
10 0 0 0 0 1 3 3 3 3 5 6 6 6 7 7 8 8 9
11 0 0 0 1 2 2 2 3 4 6 6 7 9
12 4 9

MEan value with 2 digit is 108.88

By using only scores with 2 digits from your plot, what is the standard deviation?

Answer is 6.95

By using only scores with 2 digits from your plot, find the value that is 1 standard deviation above the mean

1st standard deviation above = mean + standard deviation = 108.88+ 6.95 = 115.83

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