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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 806 · 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 3, 3, 17, 3, 18, 17 and 5? (a) 17 (b) 3 (c) 5 (d) 18
  2. 2.What is the mode of 6, 17, 6, 11, 6, 3 and 3? (a) 3 (b) 11 (c) 6 (d) 17
  3. 3.What is the median of 17, 16, 30, 3 and 9? (a) 17 (b) 15 (c) 16 (d) 30
  4. 4.What is the mean of 15, 4, 3, 6 and 7? (a) 8 (b) 6 (c) 7 (d) 9
  5. 5.What is the median of 10, 12, 34, 6 and 5? (a) 10 (b) 6 (c) 12 (d) 34
  6. 6.What is the mean of 12, 3, 13, 5 and 2? (a) 6 (b) 7 (c) 8 (d) 9
  7. 7.What is the mode of 18, 2, 18, 10, 7, 10 and 18? (a) 10 (b) 2 (c) 7 (d) 18
  8. 8.What is the mode of 13, 10, 13, 14, 3, 13 and 10? (a) 3 (b) 10 (c) 14 (d) 13
  9. 9.What is the mode of 5, 13, 6, 13, 13, 7 and 5? (a) 6 (b) 5 (c) 7 (d) 13
  10. 10.What is the mean of 14, 13, 20 and 13? (a) 16 (b) 20 (c) 12 (d) 15
  11. 11.What is the mode of 9, 20, 9, 4, 9, 14 and 4? (a) 14 (b) 20 (c) 4 (d) 9
  12. 12.What is the median of 20, 30, 9, 32, 8, 24 and 10? (a) 19 (b) 20 (c) 24 (d) 32
  13. 13.The mean of 8 numbers is 30. When the number 66 is added to them, what is the new mean? (a) 30 (b) 34 (c) 35 (d) 48
  14. 14.What is the mean of 3, 5, 9 and 19? (a) 9 (b) 10 (c) 12 (d) 8
  15. 15.What is the mean of 18, 19, 3, 15 and 15? (a) 16 (b) 15 (c) 13 (d) 14
  16. 16.What is the median of 24, 23, 10, 31, 16, 26 and 35? (a) 26 (b) 24 (c) 23 (d) 31
  17. 17.What is the median of 1, 14, 26, 22, 7, 24 and 36? (a) 22 (b) 14 (c) 23 (d) 24
  18. 18.What is the mode of 7, 19, 11, 7, 11, 11 and 13? (a) 13 (b) 11 (c) 19 (d) 7
  19. 19.What is the median of 23, 2, 12, 5 and 33? (a) 12 (b) 15 (c) 5 (d) 23
  20. 20.What is the median of 26, 2, 7, 12, 29, 1 and 24? (a) 7 (b) 13 (c) 12 (d) 24
  21. 21.What is the median of 32, 4, 19, 29, 10, 34 and 15? (a) 15 (b) 19 (c) 29 (d) 20
  22. 22.What is the median of 35, 4, 5, 11 and 2? (a) 11 (b) 6 (c) 5 (d) 4
  23. 23.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  24. 24.What is the mode of 20, 8, 6, 20, 14, 6 and 6? (a) 8 (b) 20 (c) 14 (d) 6
  25. 25.What is the mode of 20, 20, 10, 20, 10, 11 and 12? (a) 12 (b) 10 (c) 11 (d) 20
  26. 26.What is the mean of 5, 16, 3 and 16? (a) 11 (b) 8 (c) 10 (d) 9
  27. 27.What is the mean of 16, 15, 6 and 19? (a) 15 (b) 14 (c) 13 (d) 16
  28. 28.What is the median of 15, 16, 33, 27 and 6? (a) 15 (b) 16 (c) 27 (d) 33
  29. 29.What is the mean of 11, 18, 20 and 19? (a) 17 (b) 19 (c) 18 (d) 16
  30. 30.What is the mode of 11, 11, 11, 17, 10, 2 and 17? (a) 10 (b) 17 (c) 2 (d) 11
  31. 31.What is the mean of 6, 11, 6, 12 and 20? (a) 13 (b) 10 (c) 12 (d) 11
  32. 32.What is the mean of 13, 7, 2, 12, 16 and 10? (a) 11 (b) 10 (c) 12 (d) 9
  33. 33.What is the median of 26, 16, 18, 20, 21, 11 and 22? (a) 21 (b) 20 (c) 19 (d) 18
  34. 34.What is the mean of 10, 19, 7 and 12? (a) 13 (b) 12 (c) 11 (d) 16
  35. 35.What is the mean of 10, 3, 15, 18 and 19? (a) 15 (b) 14 (c) 12 (d) 13
  36. 36.What is the mode of 2, 19, 9, 2, 11, 9 and 9? (a) 2 (b) 19 (c) 11 (d) 9
  37. 37.What is the mode of 6, 6, 12, 4, 17, 6 and 17? (a) 17 (b) 4 (c) 12 (d) 6
  38. 38.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14
  39. 39.What is the mode of 13, 2, 2, 16, 15, 16 and 16? (a) 13 (b) 2 (c) 15 (d) 16
  40. 40.What is the mean of 2, 8, 5 and 9? (a) 8 (b) 6 (c) 5 (d) 7

Answer key

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

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