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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 739 · 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 2, 18, 7, 3 and 33? (a) 7 (b) 8 (c) 18 (d) 3
  2. 2.What is the mode of 17, 14, 4, 4, 15, 17 and 17? (a) 15 (b) 4 (c) 14 (d) 17
  3. 3.What is the mean of 3, 11, 15 and 7? (a) 10 (b) 12 (c) 9 (d) 8
  4. 4.The mean of 3 numbers is 20. When the number 32 is added to them, what is the new mean? (a) 24 (b) 26 (c) 23 (d) 20
  5. 5.What is the mean of 12, 11, 3 and 14? (a) 11 (b) 10 (c) 9 (d) 8
  6. 6.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 34 (b) 41 (c) 33 (d) 31
  7. 7.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 25 (b) 15 (c) 19 (d) 20
  8. 8.The mean of 5 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 20 (b) 17 (c) 11 (d) 18
  9. 9.The mean of 3 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 31 (b) 27 (c) 33 (d) 30
  10. 10.What is the mode of 12, 18, 4, 18, 12, 12 and 6? (a) 18 (b) 12 (c) 4 (d) 6
  11. 11.What is the mode of 15, 6, 7, 15, 17, 17 and 15? (a) 15 (b) 7 (c) 6 (d) 17
  12. 12.What is the median of 8, 5, 22, 7, 34, 17 and 31? (a) 8 (b) 7 (c) 22 (d) 17
  13. 13.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 13 (b) 8 (c) 15 (d) 14
  14. 14.What is the median of 34, 13, 40, 24, 15, 10 and 39? (a) 24 (b) 15 (c) 25 (d) 34
  15. 15.What is the mode of 19, 13, 13, 20, 20, 17 and 13? (a) 19 (b) 17 (c) 13 (d) 20
  16. 16.What is the mode of 17, 6, 16, 4, 16, 4 and 4? (a) 17 (b) 16 (c) 6 (d) 4
  17. 17.What is the median of 11, 39, 1, 40 and 32? (a) 1 (b) 11 (c) 39 (d) 32
  18. 18.What is the mean of 3, 10, 19, 8, 14 and 18? (a) 11 (b) 14 (c) 12 (d) 13
  19. 19.What is the mode of 14, 14, 17, 17, 4, 19 and 17? (a) 14 (b) 4 (c) 19 (d) 17
  20. 20.What is the median of 18, 30, 4, 9 and 35? (a) 18 (b) 30 (c) 9 (d) 4
  21. 21.The mean of 6 numbers is 28. When the number 49 is added to them, what is the new mean? (a) 31 (b) 32 (c) 28 (d) 30
  22. 22.What is the mode of 14, 14, 11, 6, 15, 15 and 15? (a) 11 (b) 14 (c) 6 (d) 15
  23. 23.What is the mean of 19, 20, 15 and 18? (a) 24 (b) 18 (c) 19 (d) 17
  24. 24.What is the mode of 14, 12, 10, 12, 12, 10 and 19? (a) 14 (b) 12 (c) 19 (d) 10
  25. 25.What is the mean of 9, 19, 6 and 18? (a) 12 (b) 14 (c) 13 (d) 15
  26. 26.What is the mean of 2, 2, 2, 20, 12 and 16? (a) 9 (b) 8 (c) 10 (d) 11
  27. 27.What is the median of 7, 5, 40, 28 and 18? (a) 28 (b) 40 (c) 7 (d) 18
  28. 28.What is the mode of 1, 2, 6, 2, 1, 2 and 10? (a) 10 (b) 6 (c) 2 (d) 1
  29. 29.What is the mode of 13, 9, 13, 13, 10, 10 and 4? (a) 9 (b) 4 (c) 10 (d) 13
  30. 30.What is the mode of 3, 8, 13, 20, 8, 20 and 20? (a) 8 (b) 13 (c) 20 (d) 3
  31. 31.What is the mode of 1, 1, 13, 8, 19, 19 and 19? (a) 1 (b) 8 (c) 19 (d) 13
  32. 32.What is the mean of 4, 4, 19, 2 and 11? (a) 9 (b) 8 (c) 10 (d) 7
  33. 33.What is the mean of 10, 10, 8 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  34. 34.What is the mean of 14, 18, 7, 5, 4 and 12? (a) 9 (b) 11 (c) 10 (d) 12
  35. 35.What is the median of 9, 11, 31, 27 and 12? (a) 27 (b) 12 (c) 31 (d) 18
  36. 36.What is the mean of 17, 9, 20 and 22? (a) 18 (b) 16 (c) 17 (d) 19
  37. 37.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 18 (b) 16 (c) 15 (d) 17
  38. 38.The mean of 9 numbers is 32. When the number 2 is added to them, what is the new mean? (a) 17 (b) 32 (c) 30 (d) 29
  39. 39.What is the median of 27, 32, 6, 35 and 16? (a) 6 (b) 27 (c) 32 (d) 16
  40. 40.What is the mode of 10, 18, 4, 4, 9, 9 and 9? (a) 4 (b) 9 (c) 18 (d) 10

Answer key

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

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