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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 287 · 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 2, 20, 2, 18, 14, 20 and 20? (a) 20 (b) 18 (c) 2 (d) 14
  2. 2.What is the mode of 19, 19, 6, 17, 3, 19 and 6? (a) 6 (b) 19 (c) 3 (d) 17
  3. 3.What is the mean of 3, 14, 4 and 3? (a) 6 (b) 5 (c) 7 (d) 8
  4. 4.What is the median of 34, 26, 5, 10, 28, 6 and 2? (a) 6 (b) 11 (c) 10 (d) 26
  5. 5.What is the mean of 2, 20, 19, 15, 17 and 23? (a) 17 (b) 16 (c) 18 (d) 15
  6. 6.What is the median of 20, 2, 1, 25, 7, 4 and 28? (a) 4 (b) 20 (c) 7 (d) 25
  7. 7.What is the median of 22, 33, 18, 23 and 11? (a) 21 (b) 22 (c) 18 (d) 23
  8. 8.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 36 (c) 37 (d) 22
  9. 9.What is the median of 12, 4, 3, 17 and 26? (a) 12 (b) 17 (c) 3 (d) 4
  10. 10.What is the median of 37, 40, 2, 16, 36, 19 and 13? (a) 20 (b) 19 (c) 36 (d) 16
  11. 11.What is the median of 21, 37, 36, 33 and 6? (a) 33 (b) 36 (c) 34 (d) 21
  12. 12.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 33 (b) 36 (c) 34 (d) 32
  13. 13.What is the median of 31, 40, 25, 22 and 2? (a) 22 (b) 31 (c) 24 (d) 25
  14. 14.What is the mean of 7, 4, 4, 15, 2 and 10? (a) 9 (b) 6 (c) 8 (d) 7
  15. 15.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 28 (b) 27 (c) 39 (d) 24
  16. 16.What is the mode of 17, 17, 17, 3, 13, 8 and 3? (a) 13 (b) 17 (c) 3 (d) 8
  17. 17.What is the mean of 14, 15, 2 and 21? (a) 15 (b) 12 (c) 14 (d) 13
  18. 18.What is the mode of 10, 10, 19, 19, 19, 7 and 15? (a) 19 (b) 10 (c) 15 (d) 7
  19. 19.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 13
  20. 20.What is the mean of 5, 20, 12, 3 and 20? (a) 10 (b) 15 (c) 12 (d) 13
  21. 21.What is the mean of 12, 16, 10, 4 and 8? (a) 9 (b) 10 (c) 11 (d) 12
  22. 22.What is the mean of 15, 7, 12 and 22? (a) 16 (b) 13 (c) 14 (d) 15
  23. 23.What is the mean of 2, 15, 19, 14 and 5? (a) 11 (b) 13 (c) 10 (d) 12
  24. 24.The mean of 8 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 31
  25. 25.What is the mean of 7, 8, 19 and 18? (a) 12 (b) 13 (c) 14 (d) 15
  26. 26.What is the median of 27, 35, 36, 15 and 3? (a) 15 (b) 35 (c) 27 (d) 36
  27. 27.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 35 (b) 31 (c) 30 (d) 32
  28. 28.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 19
  29. 29.What is the median of 4, 40, 32, 21, 3, 2 and 30? (a) 22 (b) 30 (c) 21 (d) 4
  30. 30.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 16 (b) 13 (c) 15 (d) 14
  31. 31.What is the mode of 17, 2, 12, 20, 2, 2 and 17? (a) 20 (b) 2 (c) 12 (d) 17
  32. 32.What is the median of 33, 24, 37, 21 and 5? (a) 21 (b) 37 (c) 24 (d) 33
  33. 33.What is the mode of 10, 9, 2, 9, 19, 10 and 9? (a) 9 (b) 19 (c) 10 (d) 2
  34. 34.What is the mean of 7, 14, 12 and 23? (a) 13 (b) 14 (c) 15 (d) 16
  35. 35.What is the mode of 3, 4, 14, 3, 4, 3 and 17? (a) 17 (b) 3 (c) 14 (d) 4
  36. 36.The mean of 6 numbers is 33. When the number 12 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 33
  37. 37.What is the mean of 3, 17, 17, 12 and 16? (a) 15 (b) 14 (c) 12 (d) 13
  38. 38.What is the mean of 7, 15, 17, 20, 7 and 6? (a) 11 (b) 12 (c) 13 (d) 14
  39. 39.What is the mode of 12, 12, 15, 12, 9, 7 and 7? (a) 7 (b) 15 (c) 12 (d) 9
  40. 40.What is the mean of 19, 8, 7, 7 and 4? (a) 10 (b) 8 (c) 9 (d) 11

Answer key

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

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