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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 129 · 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 6, 5, 19, 5, 9, 19 and 19? (a) 9 (b) 5 (c) 19 (d) 6
  2. 2.What is the median of 9, 8, 32, 19 and 10? (a) 10 (b) 9 (c) 32 (d) 19
  3. 3.The mean of 3 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 15 (b) 17 (c) 11 (d) 14
  4. 4.What is the mean of 20, 19, 4, 3, 9 and 5? (a) 9 (b) 11 (c) 10 (d) 12
  5. 5.What is the mean of 12, 3, 16, 14 and 10? (a) 11 (b) 13 (c) 12 (d) 10
  6. 6.What is the mean of 10, 4, 16, 12 and 13? (a) 11 (b) 12 (c) 10 (d) 13
  7. 7.What is the mode of 9, 4, 4, 3, 9, 19 and 4? (a) 3 (b) 19 (c) 9 (d) 4
  8. 8.What is the mode of 18, 14, 14, 14, 8, 18 and 19? (a) 19 (b) 14 (c) 8 (d) 18
  9. 9.What is the mean of 7, 9, 19, 4 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  10. 10.What is the mean of 2, 18, 16 and 20? (a) 15 (b) 13 (c) 14 (d) 16
  11. 11.What is the mean of 9, 10, 2, 12 and 7? (a) 9 (b) 10 (c) 7 (d) 8
  12. 12.What is the mean of 3, 9, 3, 19, 14 and 24? (a) 11 (b) 12 (c) 13 (d) 14
  13. 13.What is the mean of 5, 9, 6, 12, 3 and 13? (a) 9 (b) 10 (c) 8 (d) 7
  14. 14.What is the mode of 8, 11, 17, 17, 11, 18 and 17? (a) 8 (b) 17 (c) 18 (d) 11
  15. 15.What is the mode of 14, 7, 7, 18, 18, 7 and 20? (a) 14 (b) 20 (c) 18 (d) 7
  16. 16.What is the mode of 6, 10, 18, 6, 10, 10 and 3? (a) 3 (b) 18 (c) 10 (d) 6
  17. 17.What is the mode of 5, 2, 5, 17, 2, 2 and 8? (a) 17 (b) 2 (c) 8 (d) 5
  18. 18.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 14 (b) 24 (c) 22 (d) 23
  19. 19.What is the mode of 8, 14, 14, 12, 8, 16 and 8? (a) 8 (b) 12 (c) 16 (d) 14
  20. 20.What is the mode of 9, 3, 9, 8, 9, 1 and 8? (a) 9 (b) 8 (c) 3 (d) 1
  21. 21.What is the mode of 17, 8, 14, 13, 8, 17 and 8? (a) 17 (b) 14 (c) 8 (d) 13
  22. 22.What is the mean of 12, 12, 18 and 10? (a) 15 (b) 13 (c) 14 (d) 12
  23. 23.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 21 (b) 19 (c) 24 (d) 20
  24. 24.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 21 (c) 23 (d) 22
  25. 25.What is the median of 15, 24, 6, 10 and 4? (a) 11 (b) 6 (c) 15 (d) 10
  26. 26.What is the mode of 16, 7, 2, 7, 2, 17 and 7? (a) 17 (b) 2 (c) 7 (d) 16
  27. 27.What is the median of 24, 6, 30, 34 and 15? (a) 24 (b) 15 (c) 25 (d) 30
  28. 28.What is the mean of 13, 5, 10, 4 and 13? (a) 8 (b) 9 (c) 10 (d) 11
  29. 29.What is the mode of 20, 1, 3, 14, 1, 3 and 3? (a) 1 (b) 14 (c) 20 (d) 3
  30. 30.What is the median of 25, 23, 35, 39, 10, 16 and 6? (a) 22 (b) 39 (c) 23 (d) 25
  31. 31.What is the mean of 19, 11, 2 and 8? (a) 11 (b) 9 (c) 8 (d) 10
  32. 32.What is the median of 4, 14, 6, 32 and 26? (a) 26 (b) 15 (c) 6 (d) 14
  33. 33.What is the mean of 3, 5, 7, 9, 9 and 3? (a) 8 (b) 6 (c) 5 (d) 7
  34. 34.What is the median of 33, 18, 10, 17 and 20? (a) 20 (b) 18 (c) 10 (d) 17
  35. 35.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 40 (b) 31 (c) 38 (d) 37
  36. 36.What is the mode of 6, 6, 4, 4, 12, 13 and 4? (a) 6 (b) 4 (c) 13 (d) 12
  37. 37.What is the median of 10, 17, 26, 22, 29, 23 and 40? (a) 22 (b) 24 (c) 26 (d) 23
  38. 38.What is the mean of 2, 19, 17, 10, 11 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  39. 39.The mean of 6 numbers is 25. When the number 32 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26
  40. 40.What is the mean of 7, 12, 9 and 16? (a) 10 (b) 11 (c) 13 (d) 12

Answer key

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

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