Use a stem-and-leaf plot to display the data, which represent the scores of a biology class on a midterm exam. Describe any patterns.

75

85

90

80

87

66

82

88

95

91

71

80

80

92

94

68

75

91

92

87

76

91

85

99

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Part 1

Determine the leaves in the stem-and-leaf plot below.

Key:

3|3equals

33

Exam Scores
6

enter your response here

7

enter your response here

8

enter your response here

9

enter your response here

Part 2

What best describes the data?

A.

Most of the scores are in the 80s and 90s.

B.

The scores are evenly spread from the 60s to the 90s.

C.

Most of the scores are in the 70s and 80s.

D.

Most of the scores are in the 60s and 70s.

Sample grade point averages for ten male students and ten female students are listed. Find the coefficient of variation for each of the two data sets. Then compare the results.

Males	2.6

3.8

3.8

3.9

2.8

2.5

3.5

3.3

3.8

2.1

Females	2.7

3.6

2.1

3.9

3.8

4.1

1.8

3.7

3.6

2.3

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Part 1

The coefficient of variation for males is

enter your response here

%.

(Round to one decimal place as needed.)

Part 2

The coefficient of variation for females is

enter your response here

%.

(Round to one decimal place as needed.)

Part 3

Compare the variability of grade point averages of males and females. Choose the correct answer below.

A.

The grade point averages of males are more variable than females.

B.

The grade point averages of females are more variable than males.

C.

The grade point averages of females and males do not vary.

D.

The grade point averages of females and males have the same variation.

Use the accompanying data set to complete the following actions.

a. Find the quartiles.

b. Find the interquartile range.

c. Identify any outliers.

41 51 35 43 42 38 40 47 44 39 34 56 44 36 15 52 38 51 30 30

Part 1

a. Find the quartiles.

The first quartile,

Upper Q 1

The second quartile,

Upper Q 2

The third quartile,

Upper Q 3

(Type integers or decimals.)

Part 2

b. Find the interquartile range.

The interquartile range (IQR) is

(Type an integer or a decimal.)

Part 3

c. Identify any outliers. Choose the correct choice below.

A.There exists at least one outlier in the data set at

enter your response here

(Use a comma to separate answers as needed.)

B.There are no outliers in the data set.

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is

28.3 years, with a standard deviation of 3.7years. The winner in one recent year was 32 years old.

(a) Transform the age to a z-score.

(b) Interpret the results.

(c) Determine whether the age is unusual. Choose the correct answer below.

A.

No comma this value is not unusual.

A z-score

outside of the range from minus 2 to 2 is not

unusual.

B.

Yes comma this value is unusual.

A z-score

between minus 2 and 2 is unusual.

nothing

C.

No comma this value is not unusual.

A z-score between minus 2 and 2 is not unusual.

D.

Yes comma this value is unusual.

A z-score outside of the range from minus 2 to 2 is unusual.

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