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Math 146 Boxplot Quiz The following data, from the BLS (Bureau of Labor Statistics) gives the unemployment rate, first for a sample of 10 Western US states, then for a sample of 10 Eastern US states. Florida New Hampshire 3.8 Maryland Michigan West Virginia 7.2 Mississippi Indiana Connecticut North Carolina 5.7 Maine West 5.7 Californmia Wyoming Alaska Montana Oklahoma Oregon Hawaii Utah Arizona South Dakota East 6.4 4.1 6.8 3.9 4.3 5.3 4.1 3.5 5.8 3.8 5.3 5.5 6.7 5.1 6.0 4.7 Using a common axis, draw boxplots for each sample and compare each sample for (1) range: (2) skewness; and (3) general amount of unemplyment.

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Answer #1
Descriptive statistics
West East
count 10 10
mean 4.800 5.570
sample standard deviation 1.180 0.963
sample variance 1.393 0.927
minimum 3.5 3.8
maximum 6.8 7.2
range 3.3 3.4
skewness 0.716 -0.073

West East 3 3.5 4 4 65 7 75 8 85 3 3.5 4 4.555.5 6 6.5 77.5 8 8.5 9 Range: Higher for East Skewness: Higher for West Unemployment Rate: Higher for East

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