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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 810 · 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 7, 18, 12, 12, 18, 18 and 3? (a) 3 (b) 12 (c) 18 (d) 7
  2. 2.What is the median of 15, 31, 19, 30, 9, 13 and 39? (a) 30 (b) 19 (c) 15 (d) 20
  3. 3.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 17 (b) 20 (c) 18 (d) 19
  4. 4.What is the mean of 10, 18, 20, 16 and 16? (a) 16 (b) 17 (c) 15 (d) 20
  5. 5.What is the mode of 17, 15, 16, 15, 15, 17 and 2? (a) 16 (b) 17 (c) 2 (d) 15
  6. 6.What is the median of 13, 35, 40, 18 and 29? (a) 40 (b) 29 (c) 27 (d) 35
  7. 7.What is the mode of 18, 14, 14, 18, 4, 18 and 3? (a) 4 (b) 14 (c) 18 (d) 3
  8. 8.What is the mean of 19, 8, 12, 13 and 13? (a) 15 (b) 12 (c) 14 (d) 13
  9. 9.The mean of 6 numbers is 18. When the number 11 is added to them, what is the new mean? (a) 18 (b) 16 (c) 19 (d) 17
  10. 10.What is the median of 39, 15, 31, 8, 5, 3 and 32? (a) 8 (b) 19 (c) 15 (d) 31
  11. 11.What is the median of 38, 4, 26, 14, 15, 32 and 10? (a) 14 (b) 16 (c) 26 (d) 15
  12. 12.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29
  13. 13.What is the mean of 13, 5, 8 and 6? (a) 9 (b) 10 (c) 7 (d) 8
  14. 14.What is the mode of 9, 6, 17, 5, 9, 6 and 9? (a) 17 (b) 6 (c) 5 (d) 9
  15. 15.What is the median of 40, 10, 18, 8, 3, 1 and 6? (a) 9 (b) 8 (c) 6 (d) 10
  16. 16.What is the mode of 9, 13, 10, 2, 13, 10 and 10? (a) 13 (b) 2 (c) 10 (d) 9
  17. 17.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 27 (b) 29 (c) 28 (d) 20
  18. 18.What is the median of 35, 6, 2, 11 and 28? (a) 2 (b) 6 (c) 28 (d) 11
  19. 19.What is the median of 9, 11, 4, 1, 26, 3 and 40? (a) 11 (b) 1 (c) 4 (d) 9
  20. 20.What is the mean of 4, 19, 7, 9, 20 and 13? (a) 12 (b) 14 (c) 11 (d) 13
  21. 21.What is the mode of 17, 20, 2, 10, 20, 17 and 20? (a) 10 (b) 2 (c) 20 (d) 17
  22. 22.What is the median of 5, 28, 38, 21, 16, 26 and 20? (a) 21 (b) 20 (c) 26 (d) 22
  23. 23.What is the mode of 19, 20, 15, 20, 19, 7 and 19? (a) 15 (b) 19 (c) 20 (d) 7
  24. 24.What is the median of 19, 29, 3, 8, 28, 27 and 7? (a) 27 (b) 19 (c) 8 (d) 20
  25. 25.What is the mode of 1, 20, 18, 12, 1, 1 and 12? (a) 18 (b) 1 (c) 12 (d) 20
  26. 26.What is the mean of 17, 3, 16, 18, 19 and 5? (a) 15 (b) 12 (c) 14 (d) 13
  27. 27.What is the median of 13, 8, 40, 2, 4, 25 and 23? (a) 2 (b) 13 (c) 8 (d) 23
  28. 28.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 19 (b) 17 (c) 15 (d) 18
  29. 29.What is the mode of 16, 15, 15, 16, 3, 16 and 20? (a) 20 (b) 16 (c) 3 (d) 15
  30. 30.What is the mean of 17, 8, 14, 15, 16 and 8? (a) 14 (b) 12 (c) 13 (d) 15
  31. 31.What is the mode of 1, 3, 19, 18, 19, 1 and 19? (a) 19 (b) 3 (c) 1 (d) 18
  32. 32.What is the mode of 2, 14, 2, 16, 16, 5 and 16? (a) 5 (b) 16 (c) 14 (d) 2
  33. 33.What is the mean of 17, 3, 18 and 18? (a) 16 (b) 15 (c) 13 (d) 14
  34. 34.What is the median of 27, 17, 32, 23, 22, 28 and 40? (a) 26 (b) 28 (c) 27 (d) 23
  35. 35.What is the mean of 5, 2, 9, 8, 10 and 20? (a) 11 (b) 10 (c) 8 (d) 9
  36. 36.What is the mean of 12, 3, 9 and 8? (a) 8 (b) 7 (c) 9 (d) 10
  37. 37.What is the median of 8, 35, 6, 21 and 32? (a) 21 (b) 32 (c) 8 (d) 6
  38. 38.What is the mode of 10, 15, 10, 19, 16, 10 and 16? (a) 16 (b) 10 (c) 19 (d) 15
  39. 39.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 29
  40. 40.What is the mean of 18, 12, 14, 15, 3 and 4? (a) 11 (b) 12 (c) 13 (d) 10

Answer key

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

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