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Frequency tables: find the median

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

List the values in order, using each as many times as its count says. Find the middle one.

  1. A survey asked each family how many pets they have. Results: 1 pet: 4 families; 2 pets: 4 families; 3 pets: 2 families; 4 pets: 3 families. What is the median?
  2. A survey asked each household how many phone chargers it owns. Results: 1 charger: 3 households; 2 chargers: 3 households; 3 chargers: 2 households; 4 chargers: 1 household. What is the median?
  3. A survey asked each household how many phone chargers it owns. Results: 0 chargers: 2 households; 1 charger: 2 households; 2 chargers: 2 households; 3 chargers: 1 household. What is the median?
  4. A survey asked each household how many phone chargers it owns. Results: 1 charger: 4 households; 2 chargers: 2 households; 3 chargers: 1 household; 4 chargers: 2 households. What is the median?
  5. A survey asked each family how many pets they have. Results: 2 pets: 8 families; 3 pets: 7 families; 4 pets: 4 families; 5 pets: 1 family; 6 pets: 6 families. What is the median?
  6. A coach counted the goals scored in each game of a season. Results: 1 goal: 1 game; 2 goals: 1 game; 3 goals: 6 games; 4 goals: 1 game. What is the median?
  7. A teacher asked each student how many books they read this month. Results: 0 books: 3 students; 1 book: 2 students; 2 books: 1 student; 3 books: 6 students; 4 books: 9 students. What is the median?
  8. A coach counted the goals scored in each game of a season. Results: 2 goals: 6 games; 3 goals: 7 games; 4 goals: 3 games; 5 goals: 2 games; 6 goals: 8 games. What is the median?
  9. A coach counted the goals scored in each game of a season. Results: 0 goals: 2 games; 1 goal: 1 game; 2 goals: 4 games; 3 goals: 5 games; 4 goals: 7 games; 5 goals: 7 games. What is the median?
  10. A survey asked each household how many phone chargers it owns. Results: 2 chargers: 5 households; 3 chargers: 5 households; 4 chargers: 4 households; 5 chargers: 8 households; 6 chargers: 8 households; 7 chargers: 6 households. What is the median?
  11. A coach counted the goals scored in each game of a season. Results: 0 goals: 4 games; 1 goal: 1 game; 2 goals: 7 games; 3 goals: 9 games; 4 goals: 7 games; 5 goals: 4 games. What is the median?
  12. A survey asked each family how many pets they have. Results: 0 pets: 9 families; 1 pet: 8 families; 2 pets: 2 families; 3 pets: 3 families; 4 pets: 2 families. What is the median?
  13. A teacher asked each student how many books they read this month. Results: 2 books: 2 students; 3 books: 17 students; 4 books: 16 students; 5 books: 18 students; 6 books: 11 students. What is the median?
  14. A survey asked each household how many phone chargers it owns. Results: 2 chargers: 7 households; 3 chargers: 7 households; 4 chargers: 13 households; 5 chargers: 5 households; 6 chargers: 14 households. What is the median?
  15. A coach counted the goals scored in each game of a season. Results: 0 goals: 9 games; 1 goal: 10 games; 2 goals: 6 games; 3 goals: 19 games; 4 goals: 16 games; 5 goals: 2 games. What is the median?
  16. A coach counted the goals scored in each game of a season. Results: 2 goals: 11 games; 3 goals: 15 games; 4 goals: 19 games; 5 goals: 1 game; 6 goals: 20 games; 7 goals: 6 games. What is the median?
  17. A survey asked each student how many pets they have. Results: 1 pet: 19 students; 2 pets: 18 students; 3 pets: 27 students; 4 pets: 29 students; 5 pets: 1 student; 6 pets: 8 students. What is the median?
  18. A survey asked each household how many phone chargers it owns. Results: 2 chargers: 28 households; 3 chargers: 25 households; 4 chargers: 27 households; 5 chargers: 27 households; 6 chargers: 37 households; 7 chargers: 35 households. What is the median?
  19. A teacher asked each student how many books they read this month. Results: 1 book: 10 students; 2 books: 3 students; 3 books: 6 students; 4 books: 7 students; 5 books: 24 students; 6 books: 17 students. What is the median?
  20. A survey asked each household how many phone chargers it owns. Results: 1 charger: 14 households; 2 chargers: 25 households; 3 chargers: 9 households; 4 chargers: 29 households; 5 chargers: 29 households; 6 chargers: 30 households. What is the median?
More free practice: fieldbooklearning.com/uk/practice/year-7/frequency-tables-find-the-median/

Answer key: Frequency tables: find the median

  1. 2
  2. 2
  3. 1
  4. 2
  5. 3
  6. 3
  7. 3
  8. 3.5
  9. 4
  10. 5
  11. 3
  12. 1
  13. 4
  14. 4
  15. 3
  16. 4
  17. 3
  18. 5
  19. 5
  20. 4