Statistical Analysis of Quantitative and Categorical Data: IQS, Stemplots, and Boxplots, Assignments of Data Analysis & Statistical Methods

Statistical analysis of quantitative and categorical data using various graphical methods such as iqr charts, stemplots, and boxplots. The data includes variables like gender, age, household income, and voting preferences. The analysis reveals patterns, outliers, and differences between groups.

Typology: Assignments

Pre 2010

Uploaded on 07/23/2009

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1.2 Gender: categorical. Age: Quantitative. Household income: quantitative. Voting
Democratic/Republican: categorical
1.11 Possible answers are total profits, number of employees, total value of stock, and total assets.
1.17 There are two peaks. Most of the ACT states are located in the upper portion of the distribution, since
in such states, only the stronger students take the SAT.
1.25
a) Preferences will vary. The first plot has the advantage of being compact, while the split stems suggest
that there may be a second peak.
b) In either plot, the distribution is roughly symmetric, with center around 12.6 or 12.7 percent. Alaska
and Florida appear to be outliers; Alaska is low presumably because of its less attractive climate, while
Florida is high because many retirees move there.
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1.2 Gender: categorical. Age: Quantitative. Household income: quantitative. Voting Democratic/Republican: categorical 1.11 Possible answers are total profits, number of employees, total value of stock, and total assets. 1.17 There are two peaks. Most of the ACT states are located in the upper portion of the distribution, since in such states, only the stronger students take the SAT.

a) Preferences will vary. The first plot has the advantage of being compact, while the split stems suggest that there may be a second peak. b) In either plot, the distribution is roughly symmetric, with center around 12.6 or 12.7 percent. Alaska and Florida appear to be outliers; Alaska is low presumably because of its less attractive climate, while Florida is high because many retirees move there. 4 9 5 5 6 6 7 7 8 8 8 9 9 10 002 10 9 11 0113444 11 69 12 00344 12 5556666 13 013344 13 5677999 14 234 14 55 15 23 15 79 16 16 17 17 18

1.30 Stemplot at right, with split stems. The distribution is skewed to the left, with center around 59.5. Most self-concept scores are between 35 and 73, with a few below that and 1 high score of 80 (but not really high enough to be an outlier). 2 01 2 8 3 0 3 5679 4 02344 4 6799 5 1111223344444 5 556668899 6 00001233344444 6 55666677777899 7 0000111223 7 8 0

a) Stemplot shown with stems split five ways. The mean is 516.3 revolutions; the median is 516. revolutions. These are similar because the distribution is fairly symmetric. b) S=44.2 Because of the symmetry. X-bar and s are appropriate. 4 55 4 4 5 001 5 3 5 555 5 5 8

a) Men Women 50 7 8 8 21 9 984 10 139 5543 11 5 6 12 669 2 13 77 60 14 08 1 15 244 9 16 55 17 8 70 18 19 20 0