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The following report presents the details of the statistical analysis of the data collected from a sample of fifty credit customers of the department AJ Davis department store chain. The data collected was based on five variables, which were location, income, size, and years at current location and credit balance. The first variable analyzed was Location. The location data is a categorical variable; this was further broken down into three subcategories. The subcategories of location are: Urban, Suburban and Rural. A frequency distribution and pie chart for the subcategories is shown below:
Location Frequency Distribution: | Location | Frequency | Urban | 21 | Suburban | 15 | Rural | 14 |
The above pie chart and frequency distribution, illustrate that the largest number of customers are those in the rural category (42%), followed by those in the suburban category (30%). There are only 28% of the customers that fall into the urban category. Size was the next variable to be analyzed; this is a quantitative variable. Central tendency, variation and a bar graph were calculated for the Size variable. After analyzing the data for Size, it was determined that the mean household size of the customers is 3.42. The median of the data collected is 3, the mode is 2. The standard deviation is rounded to the nearest one hundredth and is 1.74. Upon reviewing the frequency distribution chart and the bar graph, it can be determined that although the median household size is 3, the largest customer household size is 2. Size | Mean | 3.42 | Median | 3 | Mode | 2 | Standard Deviation | 1.73898868 | Sample Variance | 3.02408163 | Range | 6 |
Frequency Distribution: | Size | Frequency | 1 | 5 | 2 | 15 | 3 | 8 | 4 | 9 | 5 | 5 | 6 | 5 | 7 | 3 |
Credit Balance was the next variable to be listed and analyzed. This is a quantitative