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CHAPTER 3: DISPLAYING AND DESCRIBING CATEGORICAL DATA. Make a picture!!!. _______ clearly _______ the pattern Best way to _______. Categorical Data. Mathematics of Categorical Data – Displaying Categorical Data –. Frequency Table.
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Make a picture!!! • _______ clearly • _______ the pattern • Best way to _______
Categorical Data • Mathematics of Categorical Data – • Displaying Categorical Data –
Frequency Table • A table recorded with organized ________ of each category. • Difference between Frequency Table vs. Relative Frequency Table? • Similarities between Frequency Table & Relative Frequency Table?
Frequency Table * Rel. Frequency Table www.publicschoolreview.com/school_ov/school_id/71172
Relative Frequency Table % of Students
BAR GRAPHS • Displays the distribution of a ___________ variable, showing the counts for each __________ next to each other for easy comparison. • ________ between bars. • Can be ________/__________ bars. • Relative Frequency Bar Chart (Graph): has the bar as a __________/__________ instead of a count.
PIE CHART • Displays each group of cases as a __________/_________ of the whole. • Quick impression of how a whole group is ___________ into smaller groups. • Good for seeing relative frequencies near ½, ¼, or 1/8.
CONTINGENCY TABLES • Two-way table (for two categorical variables) • Marginal Distribution Class Survival
Conditional Distribution • Distribution of one variable for just the individuals who satisfy some condition on another variable. Class
Class Survival “What percent of the survivors were in second class?” “What percent were second-class passengers who survived?” “What percent of the second-class passengers survived?”
Independence • Variables are independent of each other when the distribution of one variable is _______________ for all categories of another.
JUST CHECKING~ See Handout Sex Eye Color ~Just Checkin’~
Homework • Read the rest of chapter 3 and outline • P36 #5-7, 9, 11, 14, 19
Segmented Bar Charts • Treats each bar as a “whole” and divides it __________________ into segments corresponding to the ____________ in each group.
Examining Contingency Table – THINK • PLAN – Be sure to state what the problem is about. • VARIABLES – reports the ____ - Categorical? Quantitative? • CHECK for ________________________
SHOW • Check marginal distribution • Two-way table (contingency table) • Bar/Pie chart • Compare results
TELL • Interpret the pattern in the table and displays in _____________.
It’s the last inning of an important game. Your team is a run down with the bases loaded and two outs. The pitcher is due up, so you’ll be sending in a pinch-hitter. There are 2 batters available on the bench. Whom should you send in to bat?
HOMEWORK • P38 #18-22 even, 39, 40 • Read thru the investigation • Study for QUIZ