You are employed as 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 sales persons employed in a small town. Let us denote these sales persons by A, B, C and D. The sales records (in dollars) for the past six weeks for these four salespersons are shown in the following table. Week А B C D 1 1774 2205 1330 1402 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 consistency of sales of these four persons. Use the mean sales for each salesperson to compare the sales volume, and then choose appropriate statistical measure to compare the consistency of sales. Make the calculations and write a report.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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