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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 818 · 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 mode of 9, 9, 3, 7, 5, 9 and 7? (a) 5 (b) 7 (c) 9 (d) 3
  2. 2.What is the mode of 2, 19, 6, 2, 6, 6 and 16? (a) 2 (b) 6 (c) 16 (d) 19
  3. 3.What is the mean of 18, 20, 3, 5 and 9? (a) 12 (b) 11 (c) 10 (d) 13
  4. 4.What is the mean of 9, 8, 11, 15, 7 and 22? (a) 12 (b) 13 (c) 14 (d) 11
  5. 5.What is the mean of 8, 12, 14 and 10? (a) 10 (b) 13 (c) 11 (d) 12
  6. 6.What is the median of 3, 10, 24, 1 and 13? (a) 13 (b) 24 (c) 3 (d) 10
  7. 7.What is the median of 2, 6, 31, 24, 28, 39 and 36? (a) 29 (b) 24 (c) 28 (d) 31
  8. 8.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 31 (b) 35 (c) 32 (d) 27
  9. 9.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 10 (b) 12 (c) 7 (d) 11
  10. 10.What is the mode of 20, 15, 11, 11, 11, 15 and 4? (a) 15 (b) 4 (c) 20 (d) 11
  11. 11.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 16 (b) 15 (c) 10 (d) 14
  12. 12.What is the mean of 10, 19, 12 and 7? (a) 12 (b) 13 (c) 11 (d) 16
  13. 13.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 11 (b) 12 (c) 14 (d) 13
  14. 14.What is the median of 33, 4, 11, 13, 14, 6 and 24? (a) 11 (b) 13 (c) 15 (d) 14
  15. 15.What is the mode of 8, 3, 14, 3, 14, 14 and 6? (a) 6 (b) 14 (c) 3 (d) 8
  16. 16.The mean of 5 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 17 (b) 24 (c) 26 (d) 23
  17. 17.What is the mean of 16, 6, 17 and 5? (a) 13 (b) 11 (c) 12 (d) 10
  18. 18.What is the median of 25, 8, 5, 26 and 12? (a) 25 (b) 8 (c) 12 (d) 5
  19. 19.What is the mode of 14, 8, 10, 16, 14, 8 and 8? (a) 16 (b) 8 (c) 10 (d) 14
  20. 20.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 27
  21. 21.The mean of 8 numbers is 26. When the number 53 is added to them, what is the new mean? (a) 26 (b) 28 (c) 29 (d) 30
  22. 22.What is the mode of 1, 1, 19, 19, 1, 15 and 10? (a) 15 (b) 10 (c) 19 (d) 1
  23. 23.The mean of 5 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 52 (b) 45 (c) 44 (d) 40
  24. 24.What is the mode of 16, 20, 6, 6, 7, 16 and 6? (a) 6 (b) 20 (c) 7 (d) 16
  25. 25.What is the mode of 12, 14, 12, 15, 15, 15 and 1? (a) 15 (b) 14 (c) 1 (d) 12
  26. 26.What is the median of 35, 12, 29, 28, 7, 14 and 10? (a) 12 (b) 14 (c) 15 (d) 28
  27. 27.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 19 (b) 17 (c) 20 (d) 18
  28. 28.What is the median of 2, 33, 16, 14 and 15? (a) 17 (b) 14 (c) 16 (d) 15
  29. 29.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 19 (b) 21 (c) 14 (d) 20
  30. 30.What is the median of 32, 14, 9, 7, 35, 11 and 34? (a) 7 (b) 11 (c) 14 (d) 32
  31. 31.What is the mode of 5, 1, 1, 17, 8, 17 and 1? (a) 17 (b) 5 (c) 8 (d) 1
  32. 32.What is the mean of 6, 9, 10, 4 and 11? (a) 7 (b) 9 (c) 8 (d) 10
  33. 33.What is the mode of 11, 13, 13, 5, 8, 13 and 11? (a) 11 (b) 8 (c) 5 (d) 13
  34. 34.What is the mean of 12, 16, 4, 10 and 8? (a) 10 (b) 11 (c) 9 (d) 12
  35. 35.What is the mean of 5, 5, 20, 18, 8 and 16? (a) 14 (b) 13 (c) 11 (d) 12
  36. 36.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  37. 37.What is the mode of 19, 20, 7, 1, 19, 19 and 20? (a) 7 (b) 19 (c) 1 (d) 20
  38. 38.What is the mode of 13, 13, 16, 5, 5, 3 and 5? (a) 3 (b) 13 (c) 5 (d) 16
  39. 39.What is the mean of 4, 2, 15, 18, 2 and 13? (a) 10 (b) 8 (c) 11 (d) 9
  40. 40.What is the median of 15, 9, 4, 5, 33, 12 and 32? (a) 12 (b) 9 (c) 15 (d) 5

Answer key

  1. 9
  2. 6
  3. 11
  4. 12
  5. 11
  6. 10
  7. 28
  8. 31
  9. 10
  10. 11
  11. 14
  12. 12
  13. 12
  14. 13
  15. 14
  16. 23
  17. 11
  18. 12
  19. 8
  20. 24
  21. 29
  22. 1
  23. 44
  24. 6
  25. 15
  26. 14
  27. 18
  28. 15
  29. 19
  30. 14
  31. 1
  32. 8
  33. 13
  34. 10
  35. 12
  36. 18
  37. 19
  38. 5
  39. 9
  40. 12

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