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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 471 · 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 median of 10, 37, 29, 8 and 13? (a) 29 (b) 10 (c) 14 (d) 13
  2. 2.The mean of 6 numbers is 21. When the number 14 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 19
  3. 3.What is the median of 2, 10, 9, 23 and 17? (a) 11 (b) 9 (c) 17 (d) 10
  4. 4.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 17
  5. 5.What is the mean of 10, 17, 9, 6 and 18? (a) 12 (b) 15 (c) 13 (d) 10
  6. 6.What is the median of 8, 6, 12, 39 and 9? (a) 10 (b) 9 (c) 12 (d) 8
  7. 7.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 30
  8. 8.What is the mean of 2, 9, 10 and 19? (a) 8 (b) 11 (c) 9 (d) 10
  9. 9.What is the median of 8, 27, 5, 35 and 10? (a) 5 (b) 10 (c) 27 (d) 17
  10. 10.What is the mode of 16, 7, 18, 12, 12, 16 and 12? (a) 16 (b) 7 (c) 18 (d) 12
  11. 11.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 30
  12. 12.The mean of 8 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 15 (b) 22 (c) 23 (d) 24
  13. 13.What is the mean of 11, 6, 19 and 8? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.What is the mean of 16, 10, 9, 9, 4 and 18? (a) 12 (b) 11 (c) 10 (d) 13
  15. 15.What is the mean of 10, 19, 14 and 9? (a) 15 (b) 12 (c) 13 (d) 14
  16. 16.What is the mean of 14, 6, 18 and 14? (a) 15 (b) 13 (c) 12 (d) 14
  17. 17.What is the mode of 3, 6, 11, 3, 3, 2 and 6? (a) 6 (b) 2 (c) 3 (d) 11
  18. 18.What is the mode of 16, 19, 4, 16, 19, 7 and 19? (a) 7 (b) 4 (c) 19 (d) 16
  19. 19.What is the mean of 3, 4, 9 and 20? (a) 10 (b) 9 (c) 12 (d) 8
  20. 20.The mean of 5 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 30 (b) 24 (c) 31 (d) 33
  21. 21.The mean of 8 numbers is 40. When the number 31 is added to them, what is the new mean? (a) 41 (b) 39 (c) 38 (d) 40
  22. 22.What is the mean of 7, 15, 7, 17 and 14? (a) 12 (b) 10 (c) 15 (d) 13
  23. 23.What is the mean of 15, 6, 6, 9, 14 and 10? (a) 10 (b) 9 (c) 12 (d) 11
  24. 24.What is the median of 30, 12, 33, 21 and 10? (a) 33 (b) 30 (c) 21 (d) 12
  25. 25.What is the mode of 3, 9, 17, 1, 3, 17 and 17? (a) 3 (b) 1 (c) 9 (d) 17
  26. 26.What is the mode of 1, 3, 14, 3, 4, 14 and 3? (a) 14 (b) 4 (c) 3 (d) 1
  27. 27.What is the median of 12, 40, 10, 38 and 13? (a) 12 (b) 10 (c) 13 (d) 38
  28. 28.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 16
  29. 29.What is the mean of 2, 6, 5, 19, 7 and 15? (a) 9 (b) 8 (c) 11 (d) 10
  30. 30.The mean of 5 numbers is 33. When the number 27 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 30
  31. 31.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 15
  32. 32.What is the mode of 4, 4, 6, 10, 4, 10 and 5? (a) 4 (b) 10 (c) 6 (d) 5
  33. 33.What is the mode of 2, 8, 11, 7, 2, 2 and 8? (a) 2 (b) 11 (c) 8 (d) 7
  34. 34.What is the mode of 17, 3, 4, 17, 3, 3 and 15? (a) 15 (b) 3 (c) 17 (d) 4
  35. 35.What is the mean of 12, 19, 10 and 19? (a) 16 (b) 15 (c) 12 (d) 20
  36. 36.What is the mean of 6, 2, 4 and 4? (a) 6 (b) 4 (c) 5 (d) 3
  37. 37.What is the mode of 1, 11, 17, 17, 5, 17 and 1? (a) 17 (b) 1 (c) 5 (d) 11
  38. 38.What is the mean of 8, 13, 4 and 15? (a) 10 (b) 9 (c) 11 (d) 8
  39. 39.The mean of 5 numbers is 16. When the number 10 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 15
  40. 40.What is the mode of 2, 16, 10, 10, 10, 2 and 15? (a) 16 (b) 15 (c) 2 (d) 10

Answer key

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

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