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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 225 · 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 mean of 10, 15, 20, 2, 19 and 12? (a) 13 (b) 12 (c) 15 (d) 14
  2. 2.What is the median of 11, 12, 2, 26 and 14? (a) 2 (b) 12 (c) 14 (d) 13
  3. 3.What is the median of 9, 27, 8, 33 and 4? (a) 9 (b) 8 (c) 10 (d) 27
  4. 4.What is the mode of 13, 2, 17, 5, 17, 13 and 17? (a) 17 (b) 2 (c) 5 (d) 13
  5. 5.What is the mean of 16, 10, 2, 19, 16 and 15? (a) 12 (b) 13 (c) 14 (d) 15
  6. 6.What is the median of 18, 9, 23, 4, 6, 10 and 2? (a) 10 (b) 4 (c) 6 (d) 9
  7. 7.What is the mode of 19, 20, 19, 11, 20, 6 and 19? (a) 20 (b) 19 (c) 11 (d) 6
  8. 8.What is the mode of 13, 19, 5, 13, 6, 13 and 19? (a) 6 (b) 19 (c) 13 (d) 5
  9. 9.What is the mean of 3, 11, 13, 19, 10 and 4? (a) 11 (b) 10 (c) 9 (d) 12
  10. 10.What is the mode of 4, 6, 6, 2, 2, 8 and 6? (a) 4 (b) 2 (c) 6 (d) 8
  11. 11.What is the mode of 19, 10, 10, 14, 19, 10 and 5? (a) 19 (b) 10 (c) 5 (d) 14
  12. 12.What is the mean of 7, 14, 2 and 9? (a) 9 (b) 7 (c) 8 (d) 10
  13. 13.What is the mode of 18, 19, 15, 19, 13, 13 and 13? (a) 15 (b) 18 (c) 13 (d) 19
  14. 14.What is the mean of 6, 2, 3, 4 and 5? (a) 5 (b) 4 (c) 6 (d) 3
  15. 15.What is the mode of 16, 16, 13, 4, 11, 16 and 13? (a) 4 (b) 16 (c) 13 (d) 11
  16. 16.What is the median of 14, 16, 21, 32 and 1? (a) 16 (b) 14 (c) 21 (d) 17
  17. 17.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 28 (b) 37 (c) 25 (d) 29
  18. 18.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 17 (b) 14 (c) 15 (d) 16
  19. 19.What is the mean of 4, 17, 6 and 5? (a) 9 (b) 7 (c) 8 (d) 10
  20. 20.What is the mode of 1, 1, 5, 12, 14, 12 and 12? (a) 12 (b) 5 (c) 1 (d) 14
  21. 21.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 15
  22. 22.What is the mode of 9, 2, 8, 2, 8, 20 and 2? (a) 20 (b) 2 (c) 9 (d) 8
  23. 23.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 36 (b) 39 (c) 37 (d) 38
  24. 24.What is the median of 12, 6, 26, 5 and 21? (a) 21 (b) 14 (c) 12 (d) 26
  25. 25.What is the mean of 4, 2, 18, 5 and 6? (a) 8 (b) 9 (c) 7 (d) 6
  26. 26.What is the median of 10, 40, 12, 14, 16, 29 and 25? (a) 14 (b) 25 (c) 16 (d) 17
  27. 27.What is the mode of 8, 4, 4, 15, 2, 8 and 8? (a) 8 (b) 2 (c) 4 (d) 15
  28. 28.What is the mode of 3, 15, 14, 14, 15, 2 and 14? (a) 14 (b) 2 (c) 3 (d) 15
  29. 29.The mean of 3 numbers is 39. When the number 43 is added to them, what is the new mean? (a) 39 (b) 41 (c) 40 (d) 42
  30. 30.What is the median of 4, 6, 3, 7, 11, 1 and 16? (a) 4 (b) 5 (c) 7 (d) 6
  31. 31.What is the median of 16, 7, 37, 1, 21, 34 and 4? (a) 21 (b) 16 (c) 1 (d) 7
  32. 32.What is the mode of 8, 8, 14, 9, 14, 8 and 3? (a) 8 (b) 14 (c) 9 (d) 3
  33. 33.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 34 (b) 24 (c) 35 (d) 38
  34. 34.What is the mean of 13, 9, 20, 3 and 20? (a) 12 (b) 14 (c) 15 (d) 13
  35. 35.What is the median of 3, 29, 12, 20 and 34? (a) 29 (b) 12 (c) 21 (d) 20
  36. 36.What is the mean of 5, 5, 14, 20, 2 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  37. 37.What is the mean of 18, 3, 5, 5, 18 and 17? (a) 11 (b) 13 (c) 10 (d) 12
  38. 38.What is the mode of 4, 7, 4, 4, 13, 13 and 15? (a) 4 (b) 7 (c) 13 (d) 15
  39. 39.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 11 (b) 15 (c) 21 (d) 16
  40. 40.What is the mode of 2, 3, 4, 17, 3, 3 and 17? (a) 17 (b) 2 (c) 3 (d) 4

Answer key

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

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