Answered: Find the following descriptive measures…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

The attached screenshot is a dataset representing responses to a job satisfaction survey of 50 hospital nurses throughout the U.S. Each respondent indicated his/her degree of satisfaction with three aspects: the work, pay, and opportunities for promotion. Each variable is measured on a scale of 0 to 100, with 100 representing the highest level of satisfaction. Use the data to answer the following questions using your choice of technology.

Answer ALL the questions below.

1. Find the following descriptive measures for each of the three variables.

a. mean

b. median

c. minimum

d. maximum

e. 90th percentile

f. IQR

g. range

h. standard deviation

2. Create and interpret a histogram of the satisfaction in pay variable.

3. Create and interpret a boxplot of the opportunities for promotion variable.

4. For questions a – d below, indicate the statistical measures/techniques that helped you answer the question.

a. Based on the survey results, which aspect of the job do the nurses find most satisfying?

b. Based on the survey results, which aspect of the job do the nurses find least satisfying?

c. Which aspect of job satisfaction do the nurses in the survey seem to disagree on the most?

d. Which aspect of job satisfaction do the nurses in the survey seem to agree on the most?

5. Use bivariate measures, i.e., scatterplots and correlation coefficients, to help you describe and evaluate the relationship between each pair of variables (satisfaction in work and pay, satisfaction in work and opportunities for promotion, satisfaction in pay and opportunities for promotion).

6. Based on the analyses you performed above, write a brief paragraph summarizing what the data indicate about how nurses feel about their jobs based on the three aspects of work, pay, and opportunities for promotion.

work
71
84
84
87
72
72
72
63
84
90
73
94
84
85
88
74
71
88
90
85
79
72
88
77
64
72
71
69
90
84
86
70
86
87
77
71
75
74
76
95
89
85
65
82
82
89
74
82
90
78
pay promotion
49
53
74
66
59
37
57
48
60
62
56
60
42
56
55
70
45
49
27
89
59
60
36
60
43
25
47
56
28
37
38
72
51
90
36
53
59
51
66
66
57
42
37
60
80
47
49
76
52
58
63
37
49
79
86
40
78
29
66
55
52
66
64
52
51
68
42
67
46
41
45
47
75
61
37
74
16
23
54
72
57
51
55
92
52
62
67
68
54
56
64
63
91
70
72

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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