Question

Describe the data with the tools of descriptive statistics, using both numerical as well as graphical...

Describe the data with the tools of descriptive statistics, using both numerical as well as graphical methods. In addition to reporting and commenting on the values central tendency and diagrams, please also justify the choice of method (e.g. why a particular kind of measure of central tendency was selected and the chosen graphic is appropriate to use in this context).

Shift Stress
1 2
1 5
1 7
1 8
1 5
1 4
1 3
1 6
1 5
1 4
2 4
2 5
2 3
2 6
2 16
2 11
2 9
2 8
2 12
3 7
3 13
3 10
3 16
3 11
3 11
3 7
3 3
3 10
3 15
3 12
0 0
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Answer #1

Answer:

Describe the data with the tools of descriptive statistics, using both numerical as well as graphical methods. In addition to reporting and commenting on the values central tendency and diagrams, please also justify the choice of method (e.g. why a particular kind of measure of central tendency was selected and the chosen graphic is appropriate to use in this context).

Shift: since shift is categorical variable, frequency distribution and bar chart are used to describe the data.

One-Way Summary Table

Shift

frequency

percentage

1

10

33.33

2

9

30.00

3

11

36.67

Grand Total

30

Bar Chart 12 10 10 9 3 Shift

The three shifts are having almost same frequency.

Stress

Frequency Distribution - Quantitative

Stress

cumulative

lower

upper

midpoint

width

frequency

percent

   frequency

percent

2

<

5

4

3

7  

23.3  

7  

23.3  

5

<

8

7

3

9  

30.0  

16  

53.3  

8

<

11

10

3

5  

16.7  

21  

70.0  

11

<

14

13

3

6  

20.0  

27  

90.0  

14

<

17

15

3

3  

10.0  

30  

100.0  

30  

100.0  

Histogram 35 30.0 30 25 -23.3 20.0 E 20 a 15 10 16.7 10.0 Stress

Descriptive statistics

Stress

count

30

mean

7.93

sample standard deviation

4.05

sample variance

16.41

minimum

2

maximum

16

range

14

skewness

0.50

kurtosis

-0.73

coefficient of variation (CV)

51.06%

1st quartile

5.00

median

7.00

3rd quartile

11.00

interquartile range

6.00

mode

5.00

Since stress is numerical variable Descriptive statistics is suitable to represent the data. Mean is 7.93 with standard deviation is 4.05. Median value is 7 and range is 14. Since mean value is larger than median , the data is right skewed, median and range are suitable to represent the data.

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