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
Another Graphical Display for Categorical Data is a Pie Chart
GradeNoYes 980%20% 1068%32% 1168%32% 1264%36% Contingency Tables and Segmented Bar Charts GradeNoYesTotal Frequency Table Relative Frequency Table
Quantitative Data Distribution: 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 unimodal and 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 approximately the 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