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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 281 · 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 2, 10, 10, 13 and 10? (a) 10 (b) 11 (c) 9 (d) 8
  2. 2.The mean of 9 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 11 (b) 12 (c) 15 (d) 10
  3. 3.What is the mean of 9, 15, 9, 2, 16 and 15? (a) 13 (b) 11 (c) 12 (d) 10
  4. 4.What is the mean of 6, 20, 17, 17, 9 and 15? (a) 14 (b) 15 (c) 12 (d) 13
  5. 5.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 27 (b) 17 (c) 20 (d) 19
  6. 6.What is the mean of 20, 14, 4 and 6? (a) 13 (b) 11 (c) 10 (d) 12
  7. 7.What is the median of 37, 33, 19, 15, 40, 39 and 25? (a) 25 (b) 37 (c) 15 (d) 33
  8. 8.The mean of 6 numbers is 37. When the number 44 is added to them, what is the new mean? (a) 40 (b) 37 (c) 39 (d) 38
  9. 9.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 6 (b) 10 (c) 8 (d) 9
  10. 10.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 17
  11. 11.What is the mean of 5, 5, 8, 2, 20 and 2? (a) 9 (b) 8 (c) 7 (d) 6
  12. 12.What is the median of 40, 4, 9, 39 and 18? (a) 22 (b) 9 (c) 39 (d) 18
  13. 13.What is the mean of 9, 5, 8, 3 and 5? (a) 7 (b) 5 (c) 8 (d) 6
  14. 14.What is the mean of 16, 5, 17 and 10? (a) 16 (b) 13 (c) 12 (d) 11
  15. 15.What is the mean of 4, 2, 14 and 20? (a) 11 (b) 10 (c) 9 (d) 8
  16. 16.What is the mean of 14, 6, 9, 2 and 9? (a) 10 (b) 7 (c) 9 (d) 8
  17. 17.What is the mean of 12, 18, 12, 20 and 8? (a) 15 (b) 13 (c) 16 (d) 14
  18. 18.What is the mode of 6, 6, 3, 19, 18, 6 and 18? (a) 19 (b) 3 (c) 6 (d) 18
  19. 19.What is the mode of 13, 16, 12, 20, 16, 20 and 20? (a) 12 (b) 20 (c) 13 (d) 16
  20. 20.The mean of 8 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 23 (b) 15 (c) 22 (d) 24
  21. 21.What is the mode of 4, 18, 4, 4, 5, 3 and 3? (a) 5 (b) 18 (c) 3 (d) 4
  22. 22.What is the mean of 14, 5, 15, 2 and 19? (a) 10 (b) 11 (c) 12 (d) 13
  23. 23.What is the mode of 5, 3, 17, 15, 15, 3 and 3? (a) 15 (b) 5 (c) 3 (d) 17
  24. 24.The mean of 4 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 39 (b) 29 (c) 34 (d) 33
  25. 25.What is the mean of 4, 10, 17, 5 and 9? (a) 10 (b) 11 (c) 8 (d) 9
  26. 26.What is the median of 5, 13, 24, 40 and 29? (a) 29 (b) 25 (c) 24 (d) 13
  27. 27.What is the mode of 9, 18, 16, 18, 9, 9 and 4? (a) 16 (b) 18 (c) 9 (d) 4
  28. 28.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 21 (b) 16 (c) 30 (d) 20
  29. 29.What is the mean of 14, 13, 8, 5, 16 and 16? (a) 11 (b) 12 (c) 14 (d) 13
  30. 30.The mean of 9 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 23 (b) 33 (c) 32 (d) 31
  31. 31.What is the mode of 5, 17, 17, 16, 17, 19 and 19? (a) 16 (b) 17 (c) 5 (d) 19
  32. 32.What is the mode of 3, 6, 12, 14, 14, 6 and 14? (a) 12 (b) 3 (c) 6 (d) 14
  33. 33.What is the mode of 16, 3, 14, 16, 16, 14 and 9? (a) 9 (b) 16 (c) 3 (d) 14
  34. 34.What is the median of 12, 14, 5, 36, 38, 10 and 21? (a) 21 (b) 36 (c) 14 (d) 12
  35. 35.What is the mean of 13, 8, 12, 12, 2 and 7? (a) 10 (b) 8 (c) 9 (d) 11
  36. 36.What is the mode of 8, 8, 8, 7, 7, 2 and 5? (a) 8 (b) 7 (c) 5 (d) 2
  37. 37.The mean of 7 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 24 (b) 23 (c) 14 (d) 26
  38. 38.What is the median of 10, 28, 22, 18 and 20? (a) 22 (b) 18 (c) 20 (d) 21
  39. 39.What is the mode of 19, 2, 19, 2, 7, 2 and 13? (a) 13 (b) 7 (c) 2 (d) 19
  40. 40.What is the mode of 19, 5, 9, 5, 10, 9 and 9? (a) 19 (b) 5 (c) 10 (d) 9

Answer key

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

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