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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 591 · 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 1, 11, 11, 5, 10, 5 and 5? (a) 10 (b) 1 (c) 11 (d) 5
  2. 2.What is the mean of 15, 18, 10 and 13? (a) 14 (b) 15 (c) 13 (d) 16
  3. 3.What is the mode of 2, 14, 2, 4, 10, 4 and 2? (a) 14 (b) 4 (c) 2 (d) 10
  4. 4.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  5. 5.What is the median of 11, 38, 25, 23 and 10? (a) 23 (b) 25 (c) 11 (d) 24
  6. 6.What is the mean of 2, 17, 9, 5 and 2? (a) 7 (b) 8 (c) 9 (d) 6
  7. 7.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.What is the median of 21, 16, 33, 10, 29, 9 and 24? (a) 16 (b) 10 (c) 24 (d) 21
  9. 9.What is the mode of 11, 2, 11, 2, 1, 18 and 2? (a) 1 (b) 2 (c) 11 (d) 18
  10. 10.What is the mean of 3, 4, 5, 6, 19 and 11? (a) 10 (b) 8 (c) 7 (d) 9
  11. 11.What is the mode of 2, 2, 17, 17, 4, 17 and 9? (a) 9 (b) 4 (c) 2 (d) 17
  12. 12.The mean of 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 35 (b) 28 (c) 34 (d) 36
  13. 13.What is the mean of 10, 5, 11 and 18? (a) 10 (b) 11 (c) 13 (d) 12
  14. 14.What is the mode of 20, 8, 20, 15, 8, 11 and 20? (a) 15 (b) 8 (c) 11 (d) 20
  15. 15.What is the mode of 13, 18, 11, 18, 18, 13 and 3? (a) 3 (b) 11 (c) 18 (d) 13
  16. 16.What is the mean of 11, 13, 10 and 22? (a) 16 (b) 15 (c) 14 (d) 13
  17. 17.What is the median of 15, 7, 10, 9, 26, 5 and 12? (a) 12 (b) 10 (c) 11 (d) 9
  18. 18.What is the mode of 13, 18, 18, 14, 18, 20 and 20? (a) 18 (b) 13 (c) 14 (d) 20
  19. 19.What is the mode of 18, 8, 20, 5, 20, 18 and 20? (a) 8 (b) 18 (c) 20 (d) 5
  20. 20.What is the mean of 9, 11, 13 and 15? (a) 13 (b) 12 (c) 11 (d) 16
  21. 21.What is the median of 7, 13, 3, 37 and 6? (a) 13 (b) 6 (c) 3 (d) 7
  22. 22.What is the mean of 9, 8, 5 and 14? (a) 10 (b) 8 (c) 12 (d) 9
  23. 23.What is the median of 8, 1, 29, 9, 7, 30 and 38? (a) 29 (b) 9 (c) 8 (d) 10
  24. 24.What is the mode of 12, 6, 15, 6, 5, 5 and 6? (a) 6 (b) 5 (c) 12 (d) 15
  25. 25.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 44 (b) 52 (c) 40 (d) 43
  26. 26.What is the median of 28, 12, 9, 34, 7, 26 and 35? (a) 28 (b) 26 (c) 34 (d) 12
  27. 27.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 9
  28. 28.What is the median of 4, 13, 37, 22 and 5? (a) 13 (b) 5 (c) 22 (d) 37
  29. 29.What is the mean of 5, 17, 18, 12 and 18? (a) 13 (b) 14 (c) 16 (d) 15
  30. 30.What is the median of 5, 18, 30, 4, 22, 39 and 32? (a) 4 (b) 22 (c) 18 (d) 30
  31. 31.The mean of 7 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 41 (b) 32 (c) 33 (d) 29
  32. 32.What is the median of 17, 11, 16, 32 and 33? (a) 32 (b) 16 (c) 18 (d) 17
  33. 33.What is the mean of 19, 19, 20, 16 and 11? (a) 18 (b) 19 (c) 17 (d) 16
  34. 34.What is the mode of 6, 6, 17, 14, 7, 6 and 7? (a) 17 (b) 14 (c) 7 (d) 6
  35. 35.What is the median of 40, 18, 20, 27, 37, 34 and 2? (a) 20 (b) 34 (c) 28 (d) 27
  36. 36.What is the median of 22, 18, 35, 8 and 40? (a) 22 (b) 18 (c) 23 (d) 35
  37. 37.What is the median of 35, 29, 31, 6, 40, 38 and 10? (a) 35 (b) 27 (c) 31 (d) 6
  38. 38.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  39. 39.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 9 (b) 13 (c) 11 (d) 12
  40. 40.What is the mode of 19, 15, 15, 11, 12, 19 and 19? (a) 11 (b) 15 (c) 12 (d) 19

Answer key

  1. 5
  2. 14
  3. 2
  4. 37
  5. 23
  6. 7
  7. 10
  8. 21
  9. 2
  10. 8
  11. 17
  12. 34
  13. 11
  14. 20
  15. 18
  16. 14
  17. 10
  18. 18
  19. 20
  20. 12
  21. 7
  22. 9
  23. 9
  24. 6
  25. 43
  26. 26
  27. 14
  28. 13
  29. 14
  30. 22
  31. 32
  32. 17
  33. 17
  34. 6
  35. 27
  36. 22
  37. 31
  38. 10
  39. 12
  40. 19

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