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Univariate Data. Chapters 1-6. UNIVARIATE DATA Categorical Data Percentages Frequency Distribution, Contingency Table, Relative Frequency Bar Charts (Always for comparison, Pie Charts, Segmented Bar Charts. Quantitative Data Dot Plots, Stem Plots, Box Plots, Histograms, - PowerPoint PPT Presentation
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Univariate Data
Chapters 1-6
UNIVARIATE DATA• Categorical Data• Percentages• Frequency Distribution, Contingency Table,
Relative Frequency Bar Charts (Always for comparison, Pie Charts, Segmented Bar Charts.
• Quantitative Data• Dot Plots, Stem Plots, Box Plots, Histograms,
Cumulative Frequency Histogram
Male53%
Female47%
Gender of StudentsGermantown Academy Senior Class
Another Graphical Display for Categorical Data is a Pie Chart
Grade No Yes9 80% 20%
10 68% 32%11 68% 32%12 64% 36%
Contingency Tables and Segmented Bar Charts
Grade No Yes Total9 20 5 25
10 17 8 2511 17 8 2512 16 9 25
9 10 11 120%
20%
40%
60%
80%
100%
120%
Students Who Enjoy Cafeteria Food
No Yes
Frequency Table Relative Frequency Table
Quantitative DataDistribution: Center, Shape, Spread, Outliers
Measures of Center: Mean, Median, Mode
Measures of Spread: Range, IQR, Standard Deviation
Mean goes with Standard Deviation, Median goes with IQR
Use mean and standard deviation when distribution is unimodaland symmetric
Outlier Rule = 1.5 x IQR
Addition/Subtraction changes only measures of Center
Multiplication/Division changes measures of Center and Spread
From an Ogive be prepared to find the median and IQR
Comparing Distributions
Describing Shapes of Distributions
Remember!•If distribution is unimodal and symmetric, the mean end median will be approximatelythe same•If the distribution is skewed right, the mean will be to the right of the median•If the distribution is skewed left, the mean will be to the left of the median•Skewed distributions tend to have more variation than symmetric distributions