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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 724 · 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 12, 10, 10, 18 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  2. 2.What is the mode of 2, 17, 15, 2, 2, 17 and 19? (a) 2 (b) 15 (c) 17 (d) 19
  3. 3.What is the median of 7, 11, 17, 36 and 2? (a) 7 (b) 17 (c) 11 (d) 12
  4. 4.What is the mean of 7, 13, 3, 12, 17 and 8? (a) 9 (b) 12 (c) 11 (d) 10
  5. 5.What is the mean of 8, 8, 7 and 5? (a) 7 (b) 9 (c) 6 (d) 8
  6. 6.What is the mode of 14, 7, 2, 17, 14, 14 and 17? (a) 14 (b) 7 (c) 2 (d) 17
  7. 7.What is the mean of 2, 15, 12, 8, 20 and 15? (a) 14 (b) 12 (c) 11 (d) 13
  8. 8.What is the mode of 3, 20, 18, 18, 15, 18 and 15? (a) 3 (b) 18 (c) 15 (d) 20
  9. 9.The mean of 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 27 (b) 18 (c) 19 (d) 15
  10. 10.What is the mean of 9, 19, 13, 19, 14 and 16? (a) 18 (b) 14 (c) 16 (d) 15
  11. 11.What is the median of 20, 2, 28, 17 and 27? (a) 28 (b) 20 (c) 17 (d) 27
  12. 12.What is the mode of 11, 11, 6, 10, 1, 1 and 1? (a) 11 (b) 10 (c) 1 (d) 6
  13. 13.What is the mean of 16, 14, 14, 2, 7 and 7? (a) 12 (b) 10 (c) 9 (d) 11
  14. 14.What is the mean of 7, 9, 12 and 4? (a) 8 (b) 9 (c) 10 (d) 7
  15. 15.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 15
  16. 16.What is the mean of 18, 19, 18, 11, 10 and 2? (a) 12 (b) 14 (c) 13 (d) 15
  17. 17.What is the mean of 19, 8, 9, 9, 19 and 8? (a) 14 (b) 13 (c) 12 (d) 11
  18. 18.What is the median of 29, 9, 32, 24, 19, 2 and 13? (a) 19 (b) 20 (c) 13 (d) 24
  19. 19.What is the median of 40, 17, 32, 31, 6, 21 and 35? (a) 21 (b) 32 (c) 31 (d) 26
  20. 20.What is the median of 11, 7, 2, 40, 39, 20 and 5? (a) 20 (b) 11 (c) 7 (d) 40
  21. 21.What is the mean of 11, 7, 18 and 16? (a) 14 (b) 12 (c) 15 (d) 13
  22. 22.What is the mode of 3, 18, 18, 14, 3, 3 and 15? (a) 14 (b) 15 (c) 3 (d) 18
  23. 23.What is the mode of 13, 12, 9, 12, 3, 12 and 9? (a) 3 (b) 12 (c) 13 (d) 9
  24. 24.What is the mode of 9, 9, 10, 19, 17, 19 and 19? (a) 9 (b) 17 (c) 10 (d) 19
  25. 25.What is the mean of 4, 4, 2 and 2? (a) 4 (b) 3 (c) 5 (d) 2
  26. 26.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 20 (b) 18 (c) 27 (d) 21
  27. 27.What is the mean of 6, 4, 16 and 10? (a) 12 (b) 9 (c) 8 (d) 10
  28. 28.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 12 (c) 9 (d) 14
  29. 29.What is the mode of 11, 17, 3, 11, 11, 6 and 6? (a) 11 (b) 3 (c) 17 (d) 6
  30. 30.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 16 (b) 19 (c) 18 (d) 17
  31. 31.What is the median of 29, 18, 26, 11 and 30? (a) 18 (b) 26 (c) 29 (d) 27
  32. 32.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 32 (b) 29 (c) 26 (d) 30
  33. 33.What is the median of 6, 17, 7, 39 and 21? (a) 18 (b) 7 (c) 21 (d) 17
  34. 34.What is the mode of 8, 9, 9, 8, 9, 4 and 13? (a) 13 (b) 4 (c) 9 (d) 8
  35. 35.What is the median of 26, 14, 11, 13 and 25? (a) 25 (b) 11 (c) 14 (d) 13
  36. 36.What is the median of 6, 40, 20, 28 and 7? (a) 28 (b) 21 (c) 7 (d) 20
  37. 37.What is the median of 10, 11, 26, 4 and 15? (a) 26 (b) 10 (c) 15 (d) 11
  38. 38.What is the mode of 3, 3, 8, 8, 12, 3 and 6? (a) 12 (b) 6 (c) 8 (d) 3
  39. 39.What is the median of 20, 29, 33, 1 and 11? (a) 11 (b) 29 (c) 33 (d) 20
  40. 40.What is the mode of 14, 1, 6, 14, 12, 6 and 14? (a) 6 (b) 12 (c) 14 (d) 1

Answer key

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

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