5. Suppose a coffee company is in a basketball tournament. Their primary rival (a tea company) has an average score of 72 points for the first five games, and their standard deviation is 9.2 points. The coffee company's first five scores are 55 62 75 a. What units would the mean and standard deviation have? b. What is the mean of the dataset? c. Interpret the mean of the dataset in context. d. What is the standard deviation of the dataset? 76 e. Interpret the standard deviation of the dataset in context. f. What value in the dataset contributes most to the standard deviation? 63

MATLAB: An Introduction with Applications
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5. Suppose a coffee company is in a basketball tournament. Their primary rival (a tea company) has an average score of
72 points for the first five games, and their standard deviation is 9.2 points. The coffee company's first five scores
are
55
62
75
a.
What units would the mean and standard deviation have?
b. What is the mean of the dataset?
c. Interpret the mean of the dataset in context.
d. What is the standard deviation of the dataset?
e.
Interpret the standard deviation of the dataset in context.
What value in the dataset contributes most to the standard deviation?
Ameteur
6. The NBA decided to host a Free Throw competition to engage more basketball fans. The competition consisted of 28
professional players and 41 amateur players. The boxplots reflecting the distribution of successful free throws for
each group is shown below.
Professional
0
5
10
15
20
25
30
76
35
40
45
50
Successful Free Throws
63
55
60
65
70
75
a.
What is the highest amount of successful free throws by an amateur player?
b. What is the five-number summary for each group?
C. What percentage of amateur players scored fewer than 14 free throws?
d. How many professional players scored 60 or more free throw shots?
e. At least 50% of professional players scored above how many free throws?
Between what two values did 50% of the amateur players score? (There are multiple possible answers.)
80
Transcribed Image Text:5. Suppose a coffee company is in a basketball tournament. Their primary rival (a tea company) has an average score of 72 points for the first five games, and their standard deviation is 9.2 points. The coffee company's first five scores are 55 62 75 a. What units would the mean and standard deviation have? b. What is the mean of the dataset? c. Interpret the mean of the dataset in context. d. What is the standard deviation of the dataset? e. Interpret the standard deviation of the dataset in context. What value in the dataset contributes most to the standard deviation? Ameteur 6. The NBA decided to host a Free Throw competition to engage more basketball fans. The competition consisted of 28 professional players and 41 amateur players. The boxplots reflecting the distribution of successful free throws for each group is shown below. Professional 0 5 10 15 20 25 30 76 35 40 45 50 Successful Free Throws 63 55 60 65 70 75 a. What is the highest amount of successful free throws by an amateur player? b. What is the five-number summary for each group? C. What percentage of amateur players scored fewer than 14 free throws? d. How many professional players scored 60 or more free throw shots? e. At least 50% of professional players scored above how many free throws? Between what two values did 50% of the amateur players score? (There are multiple possible answers.) 80
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