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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