# Statistics

Use graphical and descriptive approaches to help UNIQUEmanagement understand its customer demographics and to evaluate the promotion involving discount codes.

Within the paper answer the following questions for each set of data and graphs.

A1.     Analyze how distributing a promotional coupon affect the gender statistically using the numbers compare the characteristics.  What can you conclude?

A2.     To analyze the totally number of items purchased, construct an ungrouped frequency distribution, graph, and find the summary statistics (including the quartiles) by each type of customer (regular/promotion).  Label the graphs completely.  Describe the shape of the distribution for each type of customer, and discuss similarities or differences by interpreting the graphs and summary statistics.  What can you conclude?

A3.     To analyze customer age, construct a frequency distribution, graph, and find the summary statistics (including the quartiles) by each type of customer (regular/promotion).  (Think whether you should create an ungrouped or grouped frequency distribution.)  Label the graphs completely.  Describe the shape of the distribution for each type of customer, and discuss similarities or differences by interpreting the graphs and summary statistics.  What can you conclude?

A4.     Construct a COMPARATIVE (also known as SIDE-BY-SIDE) box-and-whisker plot and find the summary statistics (including the quartiles) for net sales by each type of customer (regular/promotion).  Make sure that you format the x-axes on each plot and compare the plots using the same scale.  Describe the shape of the distribution for each type of customer, and compare the graphs by interpreting the summary statistics, particularly the five- number summary.  What can you conclude?

Hint:  A COMPARATIVE (SIDE-BY-SIDE) box-and-whisker plot is constructed by placing single boxplots adjacent to one another on a single scale.

A5.     Develop a scatterplot and explore the correlation between customer age and net sales by each type of customer (regular/promotion).  Use the horizontal axis for the customer age to graph.  Find the linear regression line that models the data by each type of customer.  Round the rate of changes (slopes) to two decimal places and interpret them in terms of the relation between the change in age and the change in net sales.  What can you conclude?

Hint:  Rate of Change = Vertical Change / Horizontal Change = Change in y / Change in x

A6-1 and 2.     Include additional further statistical analysis that shows originality and creativity to help the management.  (see attachment for the statistical analysis I chose)

All of the excel outputs have been completed. Please see attachement. Please write the paper based off the data in these outputs.

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