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Relative frequency in a two-way table: students in the band

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Find the total for the group the question asks about, then write the part over that total as a fraction in lowest terms.

  1. A survey of students found: 5 play a sport and are in the band, 15 play a sport and are not in the band, 8 do not play a sport and are in the band, and 29 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  2. A survey of students found: 35 play a sport and are in the band, 30 play a sport and are not in the band, 14 do not play a sport and are in the band, and 29 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  3. A survey of students found: 14 play a sport and are in the band, 19 play a sport and are not in the band, 8 do not play a sport and are in the band, and 24 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  4. A survey of students found: 13 play a sport and are in the band, 22 play a sport and are not in the band, 25 do not play a sport and are in the band, and 5 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  5. A survey of students found: 23 play a sport and are in the band, 56 play a sport and are not in the band, 15 do not play a sport and are in the band, and 41 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  6. A survey of students found: 36 play a sport and are in the band, 8 play a sport and are not in the band, 40 do not play a sport and are in the band, and 33 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  7. A survey of students found: 14 play a sport and are in the band, 7 play a sport and are not in the band, 40 do not play a sport and are in the band, and 51 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  8. A survey of students found: 44 play a sport and are in the band, 59 play a sport and are not in the band, 41 do not play a sport and are in the band, and 22 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  9. A survey of students found: 27 play a sport and are in the band, 14 play a sport and are not in the band, 39 do not play a sport and are in the band, and 63 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  10. A survey of students found: 30 play a sport and are in the band, 13 play a sport and are not in the band, 56 do not play a sport and are in the band, and 23 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  11. A survey of students found: 51 play a sport and are in the band, 61 play a sport and are not in the band, 39 do not play a sport and are in the band, and 16 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  12. A survey of students found: 14 play a sport and are in the band, 14 play a sport and are not in the band, 9 do not play a sport and are in the band, and 66 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  13. A survey of students found: 24 play a sport and are in the band, 73 play a sport and are not in the band, 44 do not play a sport and are in the band, and 45 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  14. A survey of students found: 60 play a sport and are in the band, 35 play a sport and are not in the band, 44 do not play a sport and are in the band, and 93 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  15. A survey of students found: 80 play a sport and are in the band, 40 play a sport and are not in the band, 59 do not play a sport and are in the band, and 89 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  16. A survey of students found: 24 play a sport and are in the band, 24 play a sport and are not in the band, 32 do not play a sport and are in the band, and 11 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  17. A survey of students found: 77 play a sport and are in the band, 23 play a sport and are not in the band, 42 do not play a sport and are in the band, and 91 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  18. A survey of students found: 34 play a sport and are in the band, 83 play a sport and are not in the band, 112 do not play a sport and are in the band, and 138 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  19. A survey of students found: 75 play a sport and are in the band, 62 play a sport and are not in the band, 104 do not play a sport and are in the band, and 28 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
  20. A survey of students found: 21 play a sport and are in the band, 122 play a sport and are not in the band, 8 do not play a sport and are in the band, and 45 do not play a sport and are not in the band. What fraction of the students in the band play a sport? Write a fraction in lowest terms.
More free practice: fieldbooklearning.com/au/practice/year-8/relative-frequency-in-a-two-way-table-students-in-the-band/

Answer key: Relative frequency in a two-way table: students in the band

  1. 5/13
  2. 5/7
  3. 7/11
  4. 13/38
  5. 23/38
  6. 9/19
  7. 7/27
  8. 44/85
  9. 9/22
  10. 15/43
  11. 17/30
  12. 14/23
  13. 6/17
  14. 15/26
  15. 80/139
  16. 3/7
  17. 11/17
  18. 17/73
  19. 75/179
  20. 21/29