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You are employed as a statistician for a company that makes household products, which are sold by part-time salespersons who work during their spare time. The company has four salespersons employed in a small town. Let us denote these salespersons by A, B, C, and D.
The sales records (in dollars) for the past 6 weeks for these four salespersons are shown in the table below.
Week
A
B
C
D
1
1774
2205
1330
1402
2
1808
1507
1295
1665
3
1890
2352
1502
1530
4
1932
1939
1104
1826
5
1855
2052
1189
1703
6
1726
1630
1441
1498
Your supervisor has asked you to prepare a brief report comparing the sales volumes and the consistency of sales of these four salespersons.
Use the mean sales for each salesperson to compare the sales volumes.
Choose an appropriate statistical measure to compare the consistency of sales.
Make the calculations and write a 700-word report comparing the sales volumes and the consistency of sales of these four salespersons.
Verified Expert
The company has four sales persons employed that sell house hold products. The four sales persons are denoted by A, B, C and D. The overall descriptive statistics of all the sales persons is given in terms of mean, median, standard deviation, range, inter quartile range. From the sales data many different statistics can be calculated. For determining the consistency coefficient of variation can be determined. Central tendency measure is one of the angles of picture for a given data. The other angle picture can be determined by measuring dispersion measure. There are many dispersion measures of absolute and relative in nature. In terms of absolute measures the simple dispersion measures are range, quartiles, mean deviation, standard deviation, variance etc. Out of all the measures of dispersion standard deviation and variance are the best measures for measuring consistency.
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