Two-way Frequency Tables
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Name________________________________________Date__________Per________
Two-Way Frequency Tables Two-way frequency tables are a visual representation of the possible representation between two sets of categorical data. In other words, the data is displayed in both directions with totals at the right & the bottom. The grand total is the same for the right hand column and the bottom row. (240 participants)
Table I.
A survey asked, "If you could have a new vehicle, would you want a sport utility
vehicle or a sports car?
1. How many people responded to the survey? 2. How many males responded to the survey?
3. How many people chose an SUV? 4. How many females chose a sports car? 5. How many males chose an SUV? 6. What percentage of the survey takers was female? (show work) 7. What percentage of males chose a sports car? (show work) 8. Was there a higher percentage of males or females choosing an SUV? (show work)
Table II. Below are the survey results showing the favorite class for a group of middle school students. Answer the questions below.
Math
English
Science
Totals
Girls
50
40
60
150
Boys
65
30
70
165
Totals
115
70
130
315
1. How many girls participated in the survey? 2. What percentage of boys chose “Science”? (show work) 3. What percentage of girls chose “Math”? (show work) 4. What percentage of students chose “English”? (show work) 5. Was there a higher percentage of males or females choosing “Math”? (show work) Table III.
Complete the two-way frequency table and answer the questions below.
1. How many students were surveyed? 2. What percentage of the students speak a foreign language and have a math average greater than or equal to 90? 3. What percentage of the students with a math average greater than or equal to 90 do not speak a foreign language? 4. How many of the students do not speak a foreign language? 5. Does the table appear to support the theory that students who speak a foreign language are also strong math students? Yes or No Explain.
Two-Way Frequency Tables Two-way frequency tables are a visual representation of the possible representation between two sets of categorical data. In other words, the data is displayed in both directions with totals at the right & the bottom. The grand total is the same for the right hand column and the bottom row. (240 participants)
Table I.
A survey asked, "If you could have a new vehicle, would you want a sport utility
vehicle or a sports car?
1. How many people responded to the survey? 2. How many males responded to the survey?
3. How many people chose an SUV? 4. How many females chose a sports car? 5. How many males chose an SUV? 6. What percentage of the survey takers was female? (show work) 7. What percentage of males chose a sports car? (show work) 8. Was there a higher percentage of males or females choosing an SUV? (show work)
Table II. Below are the survey results showing the favorite class for a group of middle school students. Answer the questions below.
Math
English
Science
Totals
Girls
50
40
60
150
Boys
65
30
70
165
Totals
115
70
130
315
1. How many girls participated in the survey? 2. What percentage of boys chose “Science”? (show work) 3. What percentage of girls chose “Math”? (show work) 4. What percentage of students chose “English”? (show work) 5. Was there a higher percentage of males or females choosing “Math”? (show work) Table III.
Complete the two-way frequency table and answer the questions below.
1. How many students were surveyed? 2. What percentage of the students speak a foreign language and have a math average greater than or equal to 90? 3. What percentage of the students with a math average greater than or equal to 90 do not speak a foreign language? 4. How many of the students do not speak a foreign language? 5. Does the table appear to support the theory that students who speak a foreign language are also strong math students? Yes or No Explain.
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