Math 533 Course Project Part a

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Amelia Cwiertniewicz MATH 533 Course Project: AJ DAVIS DEPARTMENT STORES | | A. Brief introduction AJ DAVIS, a department store chain, selected a sample of 50 credit customers to collect data on five variables such as location, income, size, years, and credit balance. In order to gain a better knowledge and understanding of their customers, AJ DAVIS provides graphical and numerical summary to explain and forecast the growth potential of their business. B. Discuss your first individual variable, using graphical, numerical summary, and interpretation Descriptive Statistics: Credit Balance($) Total Variable Count Mean StDev Variance Minimum Q1 Median Q3 Credit Balance($) 50 4153 932 868430 2047 3292 4273 4931 N for Variable Maximum Range IQR Mode Mode Credit Balance($) 5861 3814 1638 4073 2 The distribution of credit balance of the sample, which consists of 50 credit customers, is approximately skewed to the left, which is in part driven by $2,000 outlier. In addition, peak of the variable occurs at about $4,500 and the spread is from $2,000 to $6,000. The descriptive statistics of credit balance indicate that mean of $4,153 is lower than the median of $4,273, which in turn concurs that graphical interpretation is skewed to the left. Furthermore, mode of $4,073 occurs most often in a set of data. Graphical and descriptive findings indicate that out of the sample of 50 credit customers, purchasers on average have $4,153 credit balance. In addition, since graph is skewed to the left, it indicates that credit increase is unfavorable because it represents a lot of customers that purchase merchandise on credit up to $4,273. And lastly, after the $4,273 mark has been reached, less and less customers

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