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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 550 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 3, 7, 9 and 5? (a) 5 (b) 6 (c) 8 (d) 7
  2. 2.What is the median of 39, 16, 34, 38 and 4? (a) 35 (b) 38 (c) 34 (d) 16
  3. 3.What is the median of 3, 7, 33, 15 and 1? (a) 33 (b) 15 (c) 3 (d) 7
  4. 4.What is the median of 39, 32, 30, 19, 38, 28 and 6? (a) 19 (b) 28 (c) 30 (d) 32
  5. 5.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 13
  6. 6.What is the mean of 4, 8, 20, 4 and 19? (a) 12 (b) 10 (c) 11 (d) 13
  7. 7.What is the median of 29, 1, 5, 22 and 2? (a) 22 (b) 2 (c) 6 (d) 5
  8. 8.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 26
  9. 9.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 21 (b) 27 (c) 17 (d) 22
  10. 10.What is the mode of 16, 16, 1, 1, 4, 1 and 12? (a) 4 (b) 12 (c) 1 (d) 16
  11. 11.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 9 (b) 13 (c) 12 (d) 14
  12. 12.What is the mean of 15, 13, 14 and 6? (a) 13 (b) 16 (c) 11 (d) 12
  13. 13.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 33 (c) 34 (d) 31
  14. 14.What is the median of 7, 23, 15, 4, 36, 16 and 27? (a) 15 (b) 23 (c) 4 (d) 16
  15. 15.What is the mean of 18, 3, 19 and 4? (a) 12 (b) 13 (c) 10 (d) 11
  16. 16.What is the mode of 16, 1, 3, 12, 3, 12 and 3? (a) 1 (b) 12 (c) 16 (d) 3
  17. 17.What is the mode of 5, 8, 9, 5, 8, 14 and 5? (a) 9 (b) 5 (c) 14 (d) 8
  18. 18.What is the mean of 18, 3, 17, 6 and 11? (a) 10 (b) 11 (c) 12 (d) 13
  19. 19.What is the mean of 2, 13, 3, 3 and 24? (a) 10 (b) 11 (c) 9 (d) 8
  20. 20.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 10
  21. 21.What is the mean of 11, 7, 2 and 16? (a) 10 (b) 12 (c) 8 (d) 9
  22. 22.The mean of 5 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 32 (b) 34 (c) 38 (d) 35
  23. 23.What is the mean of 12, 7, 2, 9 and 10? (a) 9 (b) 10 (c) 8 (d) 7
  24. 24.What is the mode of 15, 2, 3, 9, 2, 9 and 2? (a) 3 (b) 15 (c) 9 (d) 2
  25. 25.What is the mode of 20, 4, 20, 4, 17, 20 and 10? (a) 10 (b) 4 (c) 20 (d) 17
  26. 26.What is the mean of 7, 15, 5, 7, 16 and 22? (a) 13 (b) 11 (c) 12 (d) 14
  27. 27.The mean of 5 numbers is 19. When the number 13 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 16
  28. 28.What is the mean of 11, 19, 5, 6 and 14? (a) 11 (b) 13 (c) 10 (d) 12
  29. 29.What is the mode of 11, 18, 3, 18, 1, 11 and 11? (a) 3 (b) 11 (c) 18 (d) 1
  30. 30.What is the mean of 16, 13, 2, 18, 8 and 15? (a) 11 (b) 14 (c) 13 (d) 12
  31. 31.What is the mode of 15, 2, 3, 15, 15, 10 and 2? (a) 10 (b) 15 (c) 2 (d) 3
  32. 32.What is the median of 30, 17, 38, 10, 28, 9 and 35? (a) 30 (b) 10 (c) 28 (d) 17
  33. 33.What is the mean of 4, 10, 5, 5 and 11? (a) 8 (b) 6 (c) 7 (d) 9
  34. 34.What is the mode of 19, 1, 12, 8, 1, 8 and 1? (a) 19 (b) 1 (c) 12 (d) 8
  35. 35.What is the mean of 16, 19, 10, 4, 16 and 19? (a) 15 (b) 13 (c) 12 (d) 14
  36. 36.What is the mode of 6, 14, 3, 3, 3, 4 and 6? (a) 4 (b) 14 (c) 3 (d) 6
  37. 37.What is the mean of 12, 7, 5, 3, 11 and 10? (a) 10 (b) 9 (c) 7 (d) 8
  38. 38.What is the median of 34, 33, 11, 40 and 24? (a) 24 (b) 11 (c) 33 (d) 34
  39. 39.What is the mode of 16, 3, 10, 20, 3, 20 and 20? (a) 10 (b) 16 (c) 3 (d) 20
  40. 40.The mean of 9 numbers is 29. When the number 59 is added to them, what is the new mean? (a) 44 (b) 33 (c) 29 (d) 32

Answer key

  1. 6
  2. 34
  3. 7
  4. 30
  5. 12
  6. 11
  7. 5
  8. 30
  9. 21
  10. 1
  11. 13
  12. 12
  13. 33
  14. 16
  15. 11
  16. 3
  17. 5
  18. 11
  19. 9
  20. 11
  21. 9
  22. 34
  23. 8
  24. 2
  25. 20
  26. 12
  27. 18
  28. 11
  29. 11
  30. 12
  31. 15
  32. 28
  33. 7
  34. 1
  35. 14
  36. 3
  37. 8
  38. 33
  39. 20
  40. 32

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