Question

1. The data presented below were collected on the amount of time, in hours; it takes an employee, to process an order at a local plumbing wholesaler.

2.8	4.9	0.5	13.2	14.2	8.9	3.7	15.2	11.2	13.4
5.5	10.2	1.1	14.2	7.8	4.5	10.9	8.8	18.2	17.1

1. Construct a stem-and-leaf display of the data.
2. Construct a frequency distribution of the data
3. Construct cumulative frequency and cumulative percent distributions of the data
4. Construct a frequency histogram of the data.
5. Determine the percentage of time it takes an employee at most 12.5 hours to process an order at the plumbing wholesaler.
6. Calculate central tendency (mean, mode and median) and dispersion measures (variance, standard deviation and interquartile range) and show the results with relevant charts.
7. Interpret all findings

Answer 1

Ans.

Sorted data as

0.5	1.1	2.8	3.7	4.5	4.9	5.5	7.8	8.8	8.9
10.2	10.9	11.2	13.2	13.4	14.2	14.2	15.2	17.1	18.2

a)Stem and Leaf plot for the given data is shown in the table below

Stem & Leaf Plot

Stem	Leaf = 0.1 units
0	5
1	1
2	8
3	7
4	5 9
5	5
7	8
8	8 9
10	2 9
11	2
13	2 4
14	2 2
15	2
17	1
18	2

b) c) d) and e) f)

g) from all the calculation and observations conclusion is that the above data are not normally distributed its positively skewed data.