Identify the scale of measurement


Assignment:

Please see attached file for full problem description.

1. For each case below, choose the most appropriate statistical procedure:

a. A teacher of a low-level reading group is interested in what the average score is for the group of 25 students.

b. An administrator wants to find out if there is a relationship between teacher absences and student achievement.

c. A math teacher wants to know how many ability groups should be formed within a class of 30 students.

d. A student teacher is interested in finding out the number of students who rate his performance as good, excellent, average, or poor.

2. Identify the scale of measurement in each of the following:

a. attitudes toward school

b. grouping students on the basis of hair color

c. asking judges to rank order students from most cooperative to least cooperative

3. For the following set of scores, prepare a frequency distribution, a histogram, and a stem-and-leaf display for each variable. Also calculate the mean, the median, and the standard deviation of each score. Are there any outliers in the distribution? If so, what is the result if these scores are removed from the data set? Draw a scatterplot that illustrates the relationship between the two variables.

Subject

Variable A:
Attitude toward
descriptive statistics
(I = low and 20= high)

Variable B:
Achievement on test
of knowledge of
descriptive statistics

Sam

12

80

Sally

10

60

Frank

19

85

Bob

8

65

Colleen

2

55

Isaiah

15

76

Felix

1

95

Dan

20

82

Robert

6

70

Jim

11

88

Michelle

3

59

Jan

7

60

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Basic Statistics: Identify the scale of measurement
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