PROBLEM 1
Situation:
Ska Brewing Company is a producer of fine craft beers located in Durango, Colorado. With its flagships Ale and Lager, they have enjoyed double-digit growth for more than a decade with no signs of allowing down.
Ska was founded in 1995, and through hard work and laser-like focus on brewing great beer continued to grow. In 2012, Ska brewed more than 25,000 barrels of beer (1 barrel = 2 standard kegs = 4,032 ounces) with sales exceeding $6.5 million. Action:
Using the attached MS Excel Workbook, use the methods of aggregate analytics to summarize the Ska annual data listed in table 1. Discuss your findings.
a.Include a summary of each variable in the data set. Make comments and interpretation based on maximum, minimum, as well as the appropriate means and proportions. What new insights do these descriptive statistics provide concerning Ska annual data?
Annual Barrel Sales: The average annual barrel sale is 9,165.30 with standard deviation of 7,445.27. The median is 6. The minimum barrels is 2,595 while maximum was 6,553,143. The coefficient of variation is about 81%.
Annual Sales in Dollars: The average annual sales is $2,289,489 with standard deviation of $1,968,257 The median is $1,481,759. The minimum annual sales are $521,050 while maximum was $29,763,362. The coefficient of variation is about 8%
b.Do you see any obvious trends? Is there any change in data distribution? There is a trend of positive growth around the year.
Use the descriptive statistics to summarize the Ska monthly data listed in table 1.Discuss your findings with respect to the appropriate measures of central tendency (mean, median, and mode), measures of dispersion (range and standard deviation), skewness, and kurtosis of the data.
January: The average monthly barrel sale 610.14
standard deviation of 408.33. The median 455.9. The minimum barrels 197 Maximum 1,485. The coefficient of variation is about 67%
The average monthly sales $150,460.70
Standard deviation of $108,257.6. The median $107,421.94. The minimum monthly sales $40,458 Maximum $375,117. The coefficient of variation about 72%
February
The average monthly barrel sale 578.41 Standard deviation of 413.71. The median 437.20. The minimum barrels 193 Maximum 1,521. The coefficient of variation is about 72%
The average monthly sales $142,401.89 Standard deviation of $111,455.16. The median $101,484.65. The minimum monthly sales $35,615 Maximum $391,677. The coefficient of variation about 78%.
March
The average monthly barrel sale 663.83 Standard deviation of 451.84. The median 560.30. The minimum barrels 230
Maximum 1,624. The coefficient of variation is about 68%
The average monthly sales $167,816.84
Standard deviation of $130,486.12. The median $133,151.55. The minimum monthly sales $43,306 Maximum $426,746. The coefficient of variation is about 78%.
April
The average monthly barrel sale 664.75
Standard deviation of 563.81. The median 388.4. The minimum barrels 190
Maximum 2,136. The coefficient of variation is about 85%
