Two-way tables: joint, marginal and conditional relative frequencies
Grade 9 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Read this first
Relative frequency table: each cell is a percent of all 200 students
Pizza Salad Soup Total Early lunch 5% 26% 27% 58% Late lunch 17% 15% 10% 42% Total 22% 41% 37% 100% Each cell of Ari's table is a percent of all 200 students. Of the students in the "Early lunch" row, what percent choose salad, to the nearest whole percent?
Relative frequency table: each cell is a percent of all 50 seedlings
Flowered No flowers Total Sunny window 20% 8% 28% Shady shelf 28% 44% 72% Total 48% 52% 100% Each cell of Bo's table is a percent of all 50 seedlings. Of the seedlings in the "Shady shelf" row, what percent flowered, to the nearest whole percent?
Relative frequency table: each cell is a percent of all 100 club members
Zoo Museum Aquarium Total Science club 13% 30% 26% 69% Art club 9% 17% 5% 31% Total 22% 47% 31% 100% Each cell of Esme's table is a percent of all 100 club members. Of the club members in the "Art club" row, what percent vote for the zoo, to the nearest whole percent?
Relative frequency table: each cell is a percent of all 200 students
Passed the quiz Did not pass Total Went to review 26% 15% 41% Skipped review 30% 29% 59% Total 56% 44% 100% Each cell of Jun's table is a percent of all 200 students. Of the students in the "Went to review" row, what percent passed the quiz, to the nearest whole percent?
Two-way table of singers and players, with no totals yet
Summer Fall Winter Band 20 25 29 Choir 30 21 30 Kira's table has no totals yet. Of the singers and players in the "Summer" column, what percent are in band, to the nearest whole percent?
Two-way table of students, with no totals yet
Math Science Art Coding club 19 27 11 Not in the club 12 28 20 Luz's table has no totals yet. Of the students in the "Science" column, what percent are not in the coding club, to the nearest whole percent?
Two-way table of club members, with no totals yet
Mystery Comics Nature Reads at night 26 24 5 Reads by day 17 10 7 Milo's table has no totals yet. Of the club members in the "Reads at night" row, what percent like nature books best, to the nearest whole percent?
Two-way table of students, with no totals yet
Walks Bikes Bus 9th grade 10 7 26 10th grade 30 18 28 Noah's table has no totals yet. Of the students in the "10th grade" row, what percent bike to school, to the nearest whole percent?
Relative frequency table: each cell is a percent of all 200 campers
Flew a kite Went swimming Total Cabin A 12% 15% 27% Cabin B 12% 61% 73% Total 24% 76% 100% Each cell of Ren's table is a percent of all 200 campers. Is there a link between the cabin and whether campers fly a kite?
- Yes: being in Cabin A makes campers fly a kite.
- Yes: Cabin A campers tend to fly a kite more often than Cabin B campers.
- Yes: Cabin B campers tend to fly a kite more often than Cabin A campers.
- No: the "Flew a kite" cells are equal, 12% of all campers in each row.
Relative frequency table: each cell is a percent of all 100 volunteers
Planted a tree Picked up litter Total Morning shift 27% 8% 35% Afternoon shift 49% 16% 65% Total 76% 24% 100% Each cell of Tala's table is a percent of all 100 volunteers. Is there a link between the shift and whether volunteers plant a tree?
- Yes: the "Afternoon shift" row has far more of all volunteers who planted a tree, 49% against 27%.
- No: about the same share of each group tends to plant a tree.
- Yes: morning volunteers tend to plant a tree more often than afternoon volunteers.
- Yes: being on the morning shift makes volunteers plant a tree.