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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 475 · 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 12, 2, 2, 2, 7, 19 and 19? (a) 2 (b) 19 (c) 12 (d) 7
  2. 2.What is the mode of 20, 5, 20, 15, 20, 15 and 16? (a) 15 (b) 16 (c) 5 (d) 20
  3. 3.What is the mode of 14, 13, 15, 3, 14, 3 and 3? (a) 3 (b) 13 (c) 14 (d) 15
  4. 4.What is the mean of 15, 20, 11, 11 and 13? (a) 14 (b) 15 (c) 13 (d) 16
  5. 5.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 35
  6. 6.What is the mode of 14, 17, 4, 14, 15, 15 and 15? (a) 4 (b) 15 (c) 17 (d) 14
  7. 7.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 13 (b) 22 (c) 21 (d) 20
  8. 8.What is the mean of 20, 2, 5 and 9? (a) 9 (b) 12 (c) 8 (d) 10
  9. 9.What is the mode of 7, 6, 6, 17, 5, 5 and 5? (a) 7 (b) 17 (c) 6 (d) 5
  10. 10.What is the median of 18, 9, 24, 2 and 22? (a) 24 (b) 15 (c) 22 (d) 18
  11. 11.What is the median of 4, 12, 7, 29 and 38? (a) 29 (b) 18 (c) 12 (d) 7
  12. 12.What is the mean of 20, 15, 12, 7, 17 and 7? (a) 12 (b) 14 (c) 13 (d) 15
  13. 13.What is the mode of 9, 3, 9, 3, 9, 6 and 7? (a) 9 (b) 3 (c) 7 (d) 6
  14. 14.The mean of 6 numbers is 20. When the number 41 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 20
  15. 15.What is the mean of 19, 16, 11, 4 and 10? (a) 12 (b) 10 (c) 15 (d) 13
  16. 16.What is the median of 18, 38, 19, 36, 14, 16 and 22? (a) 22 (b) 36 (c) 18 (d) 19
  17. 17.The mean of 8 numbers is 36. When the number 27 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 34
  18. 18.The mean of 9 numbers is 10. When the number 30 is added to them, what is the new mean? (a) 13 (b) 12 (c) 20 (d) 10
  19. 19.What is the mode of 9, 5, 9, 3, 4, 5 and 9? (a) 9 (b) 4 (c) 3 (d) 5
  20. 20.What is the median of 36, 10, 40, 3, 22, 29 and 5? (a) 29 (b) 3 (c) 10 (d) 22
  21. 21.What is the mean of 2, 11, 11, 6 and 20? (a) 10 (b) 9 (c) 12 (d) 11
  22. 22.The mean of 5 numbers is 15. When the number 33 is added to them, what is the new mean? (a) 24 (b) 18 (c) 19 (d) 15
  23. 23.What is the median of 37, 24, 18, 22, 8, 28 and 20? (a) 22 (b) 20 (c) 23 (d) 24
  24. 24.What is the mean of 7, 4, 17, 19 and 23? (a) 14 (b) 13 (c) 15 (d) 16
  25. 25.What is the median of 37, 9, 10, 4 and 33? (a) 9 (b) 10 (c) 11 (d) 33
  26. 26.What is the median of 28, 3, 14, 33 and 2? (a) 16 (b) 3 (c) 14 (d) 28
  27. 27.What is the mean of 15, 15, 6, 6 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  28. 28.What is the mean of 4, 3, 17, 7, 4 and 7? (a) 6 (b) 9 (c) 8 (d) 7
  29. 29.What is the mean of 14, 9, 3, 12, 5 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  30. 30.What is the mean of 16, 10, 2 and 20? (a) 16 (b) 11 (c) 13 (d) 12
  31. 31.What is the mode of 20, 2, 19, 2, 20, 1 and 20? (a) 1 (b) 19 (c) 2 (d) 20
  32. 32.What is the mean of 12, 18, 8, 10, 16 and 8? (a) 12 (b) 11 (c) 13 (d) 14
  33. 33.The mean of 6 numbers is 17. When the number 31 is added to them, what is the new mean? (a) 24 (b) 20 (c) 17 (d) 19
  34. 34.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 21
  35. 35.What is the mean of 3, 10, 6, 13, 15 and 13? (a) 10 (b) 9 (c) 11 (d) 12
  36. 36.What is the median of 37, 1, 6, 17 and 18? (a) 16 (b) 18 (c) 17 (d) 6
  37. 37.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 17 (b) 18 (c) 15 (d) 16
  38. 38.What is the median of 4, 40, 21, 12 and 14? (a) 12 (b) 14 (c) 21 (d) 15
  39. 39.What is the mean of 3, 20, 5, 16, 16 and 6? (a) 11 (b) 13 (c) 12 (d) 10
  40. 40.What is the mode of 7, 2, 12, 2, 4, 2 and 4? (a) 12 (b) 2 (c) 7 (d) 4

Answer key

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

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