Question

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 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

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.