Two-way tables: joint, marginal and conditional relative frequencies
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
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Two-way table of students
Walks Bikes Bus Total 9th grade 26 13 25 64 10th grade 10 25 11 46 Total 36 38 36 110 Ari sorted students in a two-way table. The crossing guard wants a copy. Of the students in the "9th grade" row, what percent walk to school, to the nearest whole percent?
Bo sorted students in a two-way table. The cooks are taking notes. Of the students in the "Late lunch" row, what percent choose salad, to the nearest whole percent?
Two-way table of club members
Zoo Museum Aquarium Total Science club 23 7 17 47 Art club 19 12 26 57 Total 42 19 43 104 Esme sorted club members in a two-way table. Everyone wants the trip to be tomorrow. Of the club members in the "Science club" row, what percent vote for the aquarium, to the nearest whole percent?
Two-way table of students
Math Science Art Total Coding club 16 18 24 58 Not in the club 9 6 8 23 Total 25 24 32 81 Jun sorted students in a two-way table. The club robot helped count. Of the students in the "Not in the club" row, what percent like math best, to the nearest whole percent?
Two-way table of singers and players
Summer Fall Winter Total Band 11 6 21 38 Choir 5 4 23 32 Total 16 10 44 70 Luz sorted singers and players in a two-way table. Of the singers and players in the "Winter" column, what percent are in choir, to the nearest whole percent?
Two-way table of students
Walks Bikes Bus Total 9th grade 6 7 12 25 10th grade 13 19 22 54 Total 19 26 34 79 Milo sorted students in a two-way table. The crossing guard wants a copy. Of the students in the "Bus" column, what percent are in 10th grade, to the nearest whole percent?
Pia's two-way table counts students. Is there a link between the grade and whether students walk to school?
- Yes: being in 9th grade makes students walk to school.
- No: about the same share of each group tends to walk to school.
- Yes: 9th graders tend to walk to school more often than 10th graders.
- Yes: more 10th graders walk to school, 36 against 22.
- Yes: 10th graders tend to walk to school more often than 9th graders.
Ren's two-way table counts students. Is there a link between being in the coding club and whether students like art best?
- No: about the same share of each group tends to like art best.
- Yes: other students tend to like art best more often than coding club members.
- Yes: more other students like art best, 12 against 10.
- Yes: coding club members tend to like art best more often than other students.
- Yes: being in the coding club makes students like art best.
Two-way table of club members
Zoo Museum Aquarium Total Science club 37 23 14 74 Art club 14 11 13 38 Total 51 34 27 112 Tala's two-way table counts club members. Is there a link between the club and whether club members vote for the museum?
- No: about the same share of each group tends to vote for the museum.
- Yes: being in the science club makes club members vote for the museum.
- Yes: more science club members vote for the museum, 23 against 11.
- Yes: science club members tend to vote for the museum more often than art club members.
Zee's two-way table counts club members. Is there a link between when members read and whether club members like nature books best?
- No: about the same share of each group tends to like nature books best.
- Yes: night readers tend to like nature books best more often than day readers.
- Yes: more night readers like nature books best, 30 against 23.
- Yes: being a night reader makes club members like nature books best.
