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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 161 · 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 18, 14, 9, 18, 3, 14 and 14? (a) 9 (b) 3 (c) 18 (d) 14
  2. 2.What is the mean of 7, 18, 5, 8 and 12? (a) 10 (b) 12 (c) 11 (d) 9
  3. 3.What is the mode of 18, 17, 9, 9, 7, 17 and 9? (a) 18 (b) 7 (c) 17 (d) 9
  4. 4.What is the mean of 14, 16, 4, 10, 8 and 8? (a) 10 (b) 11 (c) 9 (d) 12
  5. 5.What is the mean of 11, 10, 12 and 3? (a) 8 (b) 9 (c) 12 (d) 10
  6. 6.What is the mean of 15, 20, 17, 6 and 7? (a) 12 (b) 15 (c) 13 (d) 14
  7. 7.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 22
  8. 8.What is the mode of 18, 10, 19, 9, 9, 19 and 9? (a) 9 (b) 18 (c) 10 (d) 19
  9. 9.What is the mode of 3, 3, 12, 6, 3, 4 and 12? (a) 12 (b) 4 (c) 6 (d) 3
  10. 10.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 32 (b) 36 (c) 38 (d) 35
  11. 11.The mean of 4 numbers is 30. When the number 15 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 30
  12. 12.What is the mean of 12, 2, 12 and 10? (a) 10 (b) 12 (c) 9 (d) 8
  13. 13.What is the mode of 7, 12, 1, 13, 1, 13 and 13? (a) 7 (b) 12 (c) 1 (d) 13
  14. 14.What is the mode of 14, 2, 7, 7, 11, 11 and 7? (a) 7 (b) 11 (c) 14 (d) 2
  15. 15.What is the mode of 13, 11, 11, 1, 11, 17 and 1? (a) 1 (b) 17 (c) 13 (d) 11
  16. 16.What is the median of 29, 15, 24, 4, 20, 5 and 31? (a) 24 (b) 15 (c) 4 (d) 20
  17. 17.The mean of 6 numbers is 19. When the number 40 is added to them, what is the new mean? (a) 21 (b) 19 (c) 22 (d) 23
  18. 18.The mean of 6 numbers is 35. When the number 14 is added to them, what is the new mean? (a) 35 (b) 31 (c) 32 (d) 33
  19. 19.What is the mean of 7, 7, 11, 17, 6 and 18? (a) 10 (b) 11 (c) 12 (d) 13
  20. 20.What is the mean of 17, 13, 14, 13 and 13? (a) 15 (b) 14 (c) 13 (d) 16
  21. 21.What is the mean of 10, 4, 4 and 10? (a) 6 (b) 9 (c) 7 (d) 8
  22. 22.What is the mean of 20, 4, 4, 12 and 20? (a) 13 (b) 15 (c) 10 (d) 12
  23. 23.What is the mean of 6, 2, 19 and 5? (a) 9 (b) 7 (c) 8 (d) 10
  24. 24.What is the mean of 6, 14, 9, 15 and 11? (a) 12 (b) 10 (c) 13 (d) 11
  25. 25.What is the mean of 11, 3, 6, 8 and 2? (a) 7 (b) 6 (c) 5 (d) 8
  26. 26.The mean of 4 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 24 (b) 22 (c) 19 (d) 23
  27. 27.What is the median of 24, 4, 33, 30, 28, 13 and 17? (a) 17 (b) 28 (c) 24 (d) 30
  28. 28.What is the median of 9, 4, 21, 13 and 5? (a) 13 (b) 21 (c) 5 (d) 9
  29. 29.The mean of 3 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 30 (b) 33 (c) 36 (d) 34
  30. 30.What is the median of 11, 9, 39, 22 and 5? (a) 22 (b) 11 (c) 39 (d) 9
  31. 31.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 32 (b) 31 (c) 35 (d) 30
  32. 32.What is the mode of 5, 19, 4, 4, 19, 14 and 4? (a) 5 (b) 19 (c) 14 (d) 4
  33. 33.What is the mean of 6, 4, 15, 2 and 23? (a) 9 (b) 12 (c) 11 (d) 10
  34. 34.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 35
  35. 35.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 46 (b) 30 (c) 31 (d) 26
  36. 36.What is the mean of 4, 3, 14, 13 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  37. 37.What is the median of 5, 26, 13, 11 and 25? (a) 11 (b) 16 (c) 25 (d) 13
  38. 38.What is the mode of 7, 9, 13, 2, 13, 2 and 2? (a) 2 (b) 7 (c) 13 (d) 9
  39. 39.What is the median of 37, 19, 22, 23 and 20? (a) 21 (b) 22 (c) 23 (d) 20
  40. 40.What is the mean of 5, 6, 13, 9, 11 and 16? (a) 11 (b) 10 (c) 9 (d) 12

Answer key

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

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