Day 58 – Data Tables

Vocabulary Two-way Frequency Tables are a visual representation of the possible relationships between two sets of categorical data. Two-way Relative Frequency Tables displays percentage or ratios instead of just frequency counts, these table can show relative frequencies for the whole table, for rows, or for columns.

Problem Cakes Fruits Candies Totals Male 10 8 6 Female 12 5 9 Survey asked students, “What food would you prefer when having your recess?” Two-Way Frequency Table   Cakes Fruits Candies Totals Male 10 8 6 Female 12 5 9

How many people responded to the survey?  How many males responded to the survey?  How many people chose FRUITS?  How many females chose CANDIES? How many males chose CAKES?

Problem Cakes Fruits Candies Totals Male 10 8 6 Female 12 5 9 Survey asked students, “What food would you prefer when having your recess?” Two-Way Relative Frequency Table   Cakes Fruits Candies Totals Male 10 8 6 Female 12 5 9

Problem What percentage of the survey takers was female? What is the relative frequency of males choosing a CANDIES?  Was there a higher percentage of males or females choosing CAKES ?

Two-Way Frequency Table Answer Key Two-Way Frequency Table   Cakes Fruits Candies Totals Male 10 8 6 24 Female 12 5 9 26 22 13 15 50

Two-Way Relative Frequency Table Answer Key Two-Way Relative Frequency Table   Cakes Fruits Candies Totals Male 10 = 0.2 50 8 = 0.16 6 = 0.12 24 = 0.48 Female 12 = 0.24 5 = 0.1 9 = 0.18 26 = 0.52 22 = 0.44 13 = 0.26 15 = 0.3 50 = 1

How many people responded to the survey? 50  How many males responded to the survey? 24 How many people chose FRUITS? 13 How many females chose CANDIES? 5 How many males chose CAKES? 10

What percentage of the survey takers was female? 50% What is the relative frequency of males choosing a CANDIES? 12% Was there a higher percentage of males or females choosing CAKES ? Higher percentage of females