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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 219 · 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 15, 3, 4, 5, 5 and 16? (a) 10 (b) 9 (c) 8 (d) 7
  2. 2.What is the mean of 7, 11, 4, 8 and 10? (a) 9 (b) 8 (c) 7 (d) 10
  3. 3.What is the median of 2, 36, 9, 40 and 15? (a) 36 (b) 16 (c) 15 (d) 9
  4. 4.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 19 (b) 30 (c) 33 (d) 29
  5. 5.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 29
  6. 6.What is the mode of 9, 9, 16, 6, 15, 9 and 15? (a) 6 (b) 9 (c) 16 (d) 15
  7. 7.What is the median of 1, 29, 2, 8, 4, 25 and 22? (a) 13 (b) 8 (c) 4 (d) 22
  8. 8.What is the mean of 12, 16, 17, 20, 8 and 5? (a) 14 (b) 13 (c) 15 (d) 12
  9. 9.The mean of 9 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 11 (b) 20 (c) 21 (d) 19
  10. 10.What is the mean of 17, 6, 8, 18, 3 and 20? (a) 13 (b) 14 (c) 12 (d) 11
  11. 11.What is the mean of 4, 9, 6, 17, 5 and 7? (a) 10 (b) 9 (c) 8 (d) 7
  12. 12.What is the mode of 20, 2, 15, 2, 2, 20 and 1? (a) 20 (b) 1 (c) 2 (d) 15
  13. 13.What is the mode of 14, 14, 9, 17, 17, 3 and 17? (a) 14 (b) 9 (c) 17 (d) 3
  14. 14.What is the mean of 20, 16, 9, 13 and 2? (a) 15 (b) 12 (c) 10 (d) 13
  15. 15.What is the median of 39, 1, 26, 38, 6, 13 and 16? (a) 26 (b) 13 (c) 38 (d) 16
  16. 16.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 22
  17. 17.What is the mean of 5, 18, 14, 3, 13 and 13? (a) 13 (b) 10 (c) 11 (d) 12
  18. 18.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) 15 (d) 22
  19. 19.What is the mean of 15, 8, 12 and 17? (a) 13 (b) 12 (c) 14 (d) 15
  20. 20.What is the mode of 18, 17, 16, 17, 4, 17 and 18? (a) 17 (b) 16 (c) 4 (d) 18
  21. 21.What is the mean of 3, 6, 19, 16, 15 and 19? (a) 12 (b) 13 (c) 14 (d) 15
  22. 22.What is the mean of 18, 10, 17, 6 and 14? (a) 12 (b) 14 (c) 13 (d) 15
  23. 23.What is the mean of 2, 17, 5 and 8? (a) 10 (b) 8 (c) 7 (d) 9
  24. 24.What is the mode of 15, 16, 15, 1, 15, 6 and 16? (a) 16 (b) 6 (c) 15 (d) 1
  25. 25.What is the mode of 9, 17, 2, 9, 10, 10 and 9? (a) 2 (b) 17 (c) 10 (d) 9
  26. 26.What is the mean of 2, 3, 7 and 20? (a) 10 (b) 7 (c) 9 (d) 8
  27. 27.What is the median of 23, 32, 2, 36, 11, 6 and 18? (a) 23 (b) 18 (c) 11 (d) 36
  28. 28.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 17 (b) 22 (c) 37 (d) 21
  29. 29.The mean of 6 numbers is 28. When the number 49 is added to them, what is the new mean? (a) 32 (b) 31 (c) 28 (d) 30
  30. 30.What is the median of 29, 32, 8, 21, 34, 3 and 15? (a) 22 (b) 15 (c) 21 (d) 29
  31. 31.What is the median of 8, 37, 18, 5, 13, 16 and 33? (a) 13 (b) 18 (c) 16 (d) 5
  32. 32.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 8 (b) 10 (c) 11 (d) 9
  33. 33.The mean of 8 numbers is 25. When the number 52 is added to them, what is the new mean? (a) 29 (b) 27 (c) 28 (d) 25
  34. 34.What is the mean of 11, 16, 8, 11, 9 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  35. 35.What is the mode of 3, 3, 18, 9, 9, 9 and 12? (a) 18 (b) 9 (c) 3 (d) 12
  36. 36.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 17
  37. 37.What is the mode of 17, 10, 17, 6, 17, 6 and 9? (a) 6 (b) 17 (c) 10 (d) 9
  38. 38.The mean of 6 numbers is 12. When the number 19 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 15
  39. 39.What is the mean of 10, 10, 18 and 18? (a) 14 (b) 15 (c) 13 (d) 16
  40. 40.What is the mode of 14, 9, 14, 7, 7, 14 and 17? (a) 7 (b) 17 (c) 9 (d) 14

Answer key

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

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