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Statistics and Probability Name Describing Data Numerically CW Here are the weekly pay rolls for two imaginary restaurants, Mooseburgers and McTofu. 1. Find the 5 number summaries Statistic M-burgers McTofu Min Q1 Median Q3 Max 2. Create a parallel boxplot. Label your graph clearly 3. Write a few sentences comparing the distributions. 4. Which restaurant pays the higher average salary? ______________________________ 5. Why is the mean misleading? 6. At which restaurant would you rather work? Give a sound statistical justification for your decision. Statistics and Probability Name Describing Data Numerically CW 7. Here are the costs of 10 electric smoothtop ranges rated very good or excellent by Consumer reports in August 2002. $850 900 1400 1200 1050 1000 750 1250 1050 565 Draw a boxplot using the data above. 8. A small warehouse employs a supervisor at $1200 a week, an inventory manager at $700 a week, six stock boys at $400 a week, and four drivers at $500 a week. a) Find the mean and median wage b) How many employees earn more than the mean wage? c) Which measure of center best describes a typical wage at this company, the mean or the median? Statistics and Probability Name Describing Data Numerically CW 9. Calculate the standard deviation by hand. a) 82, 86, 86, 89, 91, 94 b) 100, 140, 150, 160, 200