Question

Problem One

A high school teacher at a small private school assigned trigonometry practice problems to be worked online. Students must use a password to access the problems and the time of log-in and log-off were automatically recorded for the teacher. At the end of the week, the teacher examined the amount of time each student spent working the assigned problems. The data are provided below in minutes.

15

28

25

48

22

43

49

34

22

33

27

25

22

20

39

• Find the Mean, Median, and Mode for the above data.

• What does this information tell you about students' length of time on the computer solving trigonometry problems?

• Are these data skewed?

Problem Two

Bailey has been playing golf on the weekends for the past three years. Recently, she started keeping track of her recorded scores. Her scores for June and July at her favorite 9-hole (par 36) golf course are provided below.

45

49

42

56

41

36

34

38

41

40

42

41

39

38

40

39

36

41

• Find the Mean, Median, and Mode for the above data.

• What does this information tell you about Bailey's golf game?

• Are these data skewed?

Problem Three

Midterm exam scores for a small advanced neuroanatomy class are provided below. Scores represent percent of items marked correct on the exam.

87

99

75

87

94

75

35

88

87

93

• Find the Mean, Median, and Mode for the above data.

• What does this information tell you about students' performance on the midterm (the traditional grading scale is used)?

• Are these data skewed?

Problem Four

A group committed to quality television has been concerned about a new talk show. For two weeks, they decide to count the number of words that must be "bleeped" as too obscene for television and the number of physical altercations. They hope that after recording this data that they will be able to argue that the show is inappropriate for television particularly during the day. The data for number of words censored is provided below.

342

267

321

157

33

349

254

166

132

289

• Find the Mean, Median, and Mode for the above data.

• What does this information tell you about the talk show?

• Are these data skewed?

Answer 1

Problem 1:

The mean value of the data set is:

μ = 452/15 ≈ 30.1333

The median of the data set is 27 (Arrange in ascending order, then select the one in center)

Mode is 22 (One having highest frequency)

Skewed slightly to the left.

Problem 2:

The mean value of the data set is:

μ = 41

The median of the data set is 40.5

Mode is 41

Skewed to the left

Problem 3:

The mean value of the data set is:

μ = 82

The median of the data set is 87

Mode is 87

Not skewed , centered

Problem 4:

The mean value of the data set is:

μ = 231

The median of the data set is 260.5

No mode for this data

Skewed to the right