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?
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 club members
Mystery Comics Nature Total Reads at night 11 18 18 47 Reads by day 26 23 29 78 Total 37 41 47 125 Kira sorted club members in a two-way table. The librarian is thrilled. Of the club members in the "Comics" column, what percent read at night, 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: 9th graders tend to walk to school more often than 10th graders.
- No: about the same share of each group tends to walk to school.
- Yes: more 10th graders walk to school, 36 against 22.
- Yes: being in 9th grade makes students walk to school.
- 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?
- Yes: other students tend to like art best more often than coding club members.
- No: about the same share of each group tends to like art best.
- Yes: being in the coding club makes students like art best.
- Yes: more other students like art best, 12 against 10.
- Yes: coding club members tend to like art best more often than other students.
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?
- Yes: more science club members vote for the museum, 23 against 11.
- Yes: being in the science club makes club members vote for the museum.
- Yes: science club members tend to vote for the museum more often than art club members.
- No: about the same share of each group tends to vote for the museum.
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: more night readers like nature books best, 30 against 23.
- Yes: night readers tend to like nature books best more often than day readers.
- Yes: being a night reader makes club members like nature books best.