Data Analysis 2-Way Frequency Table Goal: I can summarize categorical data for two categories in 2-way frequency tables. (S-ID.5)
2-Way Frequency Table
Example: The table shows the number of students playing spring sports at a local school. A. How many boys play a spring sport? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 48
Example: The table shows the number of students playing spring sports at a local school. B. Which sport is most preferred by boys? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 Softball
Example: The table shows the number of students playing spring sports at a local school. C. Which sport is least preferred by girls? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 Tennis
Example: The table shows the number of students playing spring sports at a local school. D. How many tennis players are girls? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 29
Example: The table shows the number of students playing spring sports at a local school. E. How many softball players are boys? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 32
Example: The table shows the number of students playing spring sports at a local school. F. How many badminton players are there? Softball Tennis Badminton Total Girls 57 29 47 133 Boys 32 15 1 48 89 44 181 48
Example: At a wedding reception, the guests have a choice of chicken or steak for dinner. How many guests 40 years or older prefer steak? Which meal is most preferred by those under 40? Which meal is preferred least by those 40 or older? How many people prefer steak? Chicken Steak Total Under 40 19 97 116 40 or Older 54 12 66 73 109 182 19 Steak Chicken 109
Example: Chicken Steak Total Under 40 19 97 116 40 or Older 54 12 66 Choose the correct response for the table below. A. More people prefer chicken. However, more people under 40 prefer steak. B. More people prefer chicken. Also, more people under 40 prefer chicken. C. More people prefer steak. Also, more people 40 or older prefer steak. D. More people prefer steak. However, more people under 40 prefer chicken. Chicken Steak Total Under 40 19 97 116 40 or Older 54 12 66 73 109 182
Complete a two-way frequency table for the following figures.
What is the least common shape?
Two-way Relative Frequency Chart Each entry represents the frequency of an individual event relative to all observations in the table 2-Way Frequency Chart 2-Way Relative Frequency Chart
Use the data to complete a two-way relative frequency chart.