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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 101 · 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 median of 37, 18, 7, 28, 14, 9 and 21? (a) 28 (b) 21 (c) 14 (d) 18
  2. 2.What is the median of 9, 1, 31, 18, 11, 25 and 3? (a) 9 (b) 14 (c) 11 (d) 18
  3. 3.What is the mean of 17, 18, 7, 14 and 19? (a) 15 (b) 17 (c) 14 (d) 16
  4. 4.What is the mean of 16, 16, 15 and 13? (a) 16 (b) 12 (c) 15 (d) 20
  5. 5.The mean of 8 numbers is 36. When the number 72 is added to them, what is the new mean? (a) 54 (b) 41 (c) 36 (d) 40
  6. 6.The mean of 5 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 40 (b) 52 (c) 44 (d) 45
  7. 7.What is the median of 10, 5, 9, 8, 22, 12 and 33? (a) 10 (b) 12 (c) 9 (d) 8
  8. 8.What is the median of 8, 7, 34, 9 and 6? (a) 7 (b) 9 (c) 8 (d) 34
  9. 9.What is the mode of 14, 7, 19, 7, 19, 19 and 16? (a) 7 (b) 14 (c) 16 (d) 19
  10. 10.The mean of 8 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 30 (b) 21 (c) 24 (d) 23
  11. 11.What is the mean of 10, 13, 7 and 6? (a) 12 (b) 9 (c) 8 (d) 10
  12. 12.What is the mean of 15, 8, 5 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  13. 13.What is the mode of 7, 2, 4, 6, 2, 7 and 2? (a) 6 (b) 2 (c) 4 (d) 7
  14. 14.What is the mean of 6, 2, 18, 8 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  15. 15.What is the mode of 9, 4, 1, 9, 4, 4 and 2? (a) 2 (b) 4 (c) 9 (d) 1
  16. 16.What is the median of 29, 26, 16, 31 and 17? (a) 17 (b) 29 (c) 26 (d) 16
  17. 17.What is the median of 15, 32, 6, 4, 38, 23 and 10? (a) 4 (b) 10 (c) 23 (d) 15
  18. 18.What is the mode of 4, 8, 4, 4, 3, 11 and 8? (a) 8 (b) 11 (c) 4 (d) 3
  19. 19.What is the median of 2, 5, 18, 37 and 3? (a) 3 (b) 13 (c) 5 (d) 18
  20. 20.What is the mean of 12, 3, 5 and 8? (a) 6 (b) 7 (c) 9 (d) 8
  21. 21.What is the median of 12, 1, 40, 2, 13, 34 and 35? (a) 12 (b) 13 (c) 34 (d) 2
  22. 22.What is the mode of 17, 19, 8, 8, 19, 19 and 6? (a) 6 (b) 19 (c) 17 (d) 8
  23. 23.The mean of 9 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 40 (b) 44 (c) 39 (d) 41
  24. 24.What is the mean of 19, 3, 8 and 6? (a) 10 (b) 8 (c) 9 (d) 12
  25. 25.What is the median of 28, 35, 29, 13 and 5? (a) 13 (b) 29 (c) 22 (d) 28
  26. 26.What is the mean of 13, 19, 20 and 16? (a) 16 (b) 19 (c) 17 (d) 18
  27. 27.What is the mean of 12, 5, 15 and 8? (a) 9 (b) 8 (c) 10 (d) 11
  28. 28.The mean of 9 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 33 (b) 23 (c) 32 (d) 31
  29. 29.What is the mode of 19, 2, 17, 20, 20, 20 and 2? (a) 19 (b) 17 (c) 2 (d) 20
  30. 30.What is the median of 4, 10, 14, 7 and 24? (a) 7 (b) 14 (c) 11 (d) 10
  31. 31.What is the mean of 10, 7, 19, 12, 10 and 8? (a) 11 (b) 13 (c) 12 (d) 10
  32. 32.What is the median of 28, 33, 2, 20 and 36? (a) 20 (b) 28 (c) 2 (d) 33
  33. 33.What is the median of 10, 7, 24, 34, 17, 26 and 9? (a) 24 (b) 10 (c) 34 (d) 17
  34. 34.What is the mode of 6, 1, 1, 16, 7, 1 and 6? (a) 6 (b) 7 (c) 16 (d) 1
  35. 35.What is the median of 31, 3, 24, 28 and 8? (a) 28 (b) 24 (c) 8 (d) 25
  36. 36.What is the median of 6, 35, 20, 34, 27, 9 and 5? (a) 9 (b) 20 (c) 34 (d) 27
  37. 37.What is the mean of 10, 10, 7 and 21? (a) 11 (b) 13 (c) 12 (d) 16
  38. 38.What is the mode of 7, 4, 8, 4, 8, 4 and 5? (a) 5 (b) 8 (c) 7 (d) 4
  39. 39.What is the mode of 6, 2, 19, 2, 6, 5 and 6? (a) 19 (b) 2 (c) 5 (d) 6
  40. 40.What is the mean of 4, 14, 10, 4, 11 and 5? (a) 9 (b) 7 (c) 10 (d) 8

Answer key

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

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