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Grade 9 · Math · Algebra 1

9th grade Two-way tables: joint, marginal and conditional relative frequencies worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Two-way tables: joint, marginal and conditional relative frequencies

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Read this first

    Two-way table of seedlings

    FloweredNo flowersTotal
    Sunny window16622
    Shady shelf10818
    Total261440
  2. Bo's table sorts 40 seedlings. One seedling leans toward the window. What percent of all 40 seedlings grew on the shady shelf and flowered?

  3. Two-way table of students

    Passed the quizDid not passTotal
    Went to review81321
    Skipped review92029
    Total173350
  4. Esme's table sorts 50 students. The review session had orange slices. What percent of all 50 students went to the review session and did not pass the quiz?

  5. Jun's table sorts 80 students. Paint got on everyone's shoes. What percent of all 80 students do not take an art class and did not enter the fair?

  6. Two-way table of volunteers

    Planted a treePicked up litterTotal
    Morning shift192140
    Afternoon shift152540
    Total344680
  7. Kira made a table of 80 volunteers. The park squirrels approve. What percent of all 80 volunteers worked the morning shift?

  8. Two-way table of campers

    Flew a kiteWent swimmingTotal
    Cabin A20626
    Cabin B6814
    Total261440
  9. Luz made a table of 40 campers. One kite landed in a tree twice. What percent of all 40 campers went swimming?

  10. Two-way table of students

    Reusable bottleNo bottleTotal
    9th grade72027
    10th grade111223
    Total183250
  11. Milo made a table of 50 students. The water fountain feels popular. What percent of all 50 students are in 10th grade?

  12. Noah made a table of 50 students. The review session had orange slices. What percent of all 50 students passed the quiz?

  13. Two-way table of seedlings

    FloweredNo flowersTotal
    Sunny window281240
    Shady shelf172441
    Total453681
  14. Pia counted seedlings in a two-way table. One seedling leans toward the window. Of the 40 seedlings in the "Sunny window" row, what percent flowered?

  15. Two-way table of students

    Entered the fairDid not enterTotal
    Art class21728
    No art class121123
    Total331851
  16. Ren counted students in a two-way table. Paint got on everyone's shoes. Of the 28 students in the "Art class" row, what percent entered the art fair?

  17. Two-way table of campers

    Flew a kiteWent swimmingTotal
    Cabin A142640
    Cabin B83038
    Total225678
  18. Zee counted campers in a two-way table. One kite landed in a tree twice. Of the 40 campers in the "Cabin A" row, what percent flew a kite?

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9th grade Two-way tables: joint, marginal and conditional relative frequencies worksheet – printable
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About this worksheet

Two-way tables: joint, marginal and conditional relative frequencies. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a joint, a marginal or a conditional relative frequency, using the whole the question names.
  • I can turn a percent-of-all table into row percents.
  • I can say whether two answers tend to go together by comparing row percents, never as a cause.

Standard: S-ID.B.5

Words to know

joint relative frequency: One cell as a share of everyone in the table.

marginal relative frequency: A row or column total as a share of everyone.

conditional relative frequency: One cell as a share of its own row, or its own column.

percent of all: Divided by the grand total, the corner of the table.

percent of the row: Divided by that row's total only.

association: Two answers tend to go together; one group's share is clearly bigger.

Common mistakes

Your child divided by everyone in the table when the question asked about one row or one column. Read the words after "of the" together and point to the total they name.

Your child divided by a row total when the question named a column or everyone. Ask which group the question is about before dividing.

Your child divided by a column total when the question named a row or everyone. Ask which group the question is about before dividing.

Questions parents ask

What is the most common mistake with two-way tables: joint, marginal and conditional relative frequencies?

Your child divided by everyone in the table when the question asked about one row or one column. Read the words after "of the" together and point to the total they name.

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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