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