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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 487 · 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 2, 9, 23, 14 and 24? (a) 9 (b) 15 (c) 23 (d) 14
  2. 2.What is the median of 12, 28, 3, 17, 5, 11 and 15? (a) 13 (b) 17 (c) 15 (d) 12
  3. 3.What is the mean of 7, 7, 19, 18, 18 and 15? (a) 12 (b) 13 (c) 14 (d) 15
  4. 4.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 18
  5. 5.What is the mode of 16, 6, 4, 4, 16, 2 and 4? (a) 16 (b) 4 (c) 2 (d) 6
  6. 6.What is the mean of 8, 17, 5, 11 and 9? (a) 12 (b) 9 (c) 11 (d) 10
  7. 7.What is the mode of 10, 3, 1, 6, 1, 3 and 3? (a) 1 (b) 10 (c) 6 (d) 3
  8. 8.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  9. 9.What is the mean of 16, 14, 2 and 8? (a) 11 (b) 10 (c) 8 (d) 9
  10. 10.What is the mode of 19, 6, 15, 6, 6, 9 and 9? (a) 6 (b) 9 (c) 15 (d) 19
  11. 11.What is the mean of 16, 15, 11, 10, 9 and 5? (a) 10 (b) 11 (c) 12 (d) 13
  12. 12.What is the mode of 14, 2, 14, 12, 13, 12 and 14? (a) 2 (b) 13 (c) 12 (d) 14
  13. 13.What is the median of 21, 33, 2, 11 and 36? (a) 2 (b) 33 (c) 21 (d) 11
  14. 14.What is the mean of 20, 7, 9, 3, 17 and 10? (a) 11 (b) 12 (c) 13 (d) 10
  15. 15.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 13 (b) 11 (c) 10 (d) 7
  16. 16.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 18 (b) 19 (c) 30 (d) 14
  17. 17.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 30 (b) 34 (c) 18 (d) 31
  18. 18.What is the median of 33, 23, 5, 26 and 20? (a) 23 (b) 5 (c) 26 (d) 20
  19. 19.What is the mean of 3, 7, 17, 20 and 8? (a) 10 (b) 13 (c) 11 (d) 12
  20. 20.What is the median of 5, 8, 13, 40, 31, 38 and 32? (a) 31 (b) 13 (c) 40 (d) 32
  21. 21.What is the mean of 18, 11, 2, 14, 15 and 18? (a) 15 (b) 13 (c) 12 (d) 14
  22. 22.What is the mode of 10, 18, 18, 10, 18, 7 and 3? (a) 18 (b) 10 (c) 3 (d) 7
  23. 23.What is the mode of 14, 11, 16, 11, 7, 16 and 16? (a) 16 (b) 7 (c) 14 (d) 11
  24. 24.What is the median of 28, 36, 9, 7, 26, 4 and 32? (a) 7 (b) 9 (c) 28 (d) 26
  25. 25.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 16 (b) 19 (c) 17 (d) 18
  26. 26.What is the median of 27, 8, 12, 21, 6, 16 and 22? (a) 21 (b) 16 (c) 12 (d) 17
  27. 27.What is the median of 37, 4, 38, 25 and 9? (a) 37 (b) 9 (c) 38 (d) 25
  28. 28.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 22
  29. 29.What is the mean of 13, 17, 7, 4 and 19? (a) 15 (b) 13 (c) 10 (d) 12
  30. 30.What is the mean of 18, 7, 4, 5 and 6? (a) 9 (b) 7 (c) 8 (d) 10
  31. 31.What is the mode of 7, 11, 4, 11, 11, 4 and 13? (a) 13 (b) 4 (c) 7 (d) 11
  32. 32.What is the mean of 12, 5, 2, 10 and 21? (a) 11 (b) 10 (c) 9 (d) 12
  33. 33.What is the mode of 18, 18, 8, 5, 15, 18 and 15? (a) 8 (b) 15 (c) 5 (d) 18
  34. 34.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 22 (b) 13 (c) 10 (d) 14
  35. 35.What is the mode of 9, 9, 3, 12, 3, 16 and 9? (a) 16 (b) 3 (c) 12 (d) 9
  36. 36.What is the mode of 4, 15, 15, 15, 20, 14 and 4? (a) 15 (b) 14 (c) 20 (d) 4
  37. 37.What is the median of 26, 29, 37, 3 and 33? (a) 26 (b) 33 (c) 37 (d) 29
  38. 38.What is the mean of 9, 6, 11 and 10? (a) 12 (b) 9 (c) 10 (d) 8
  39. 39.What is the median of 21, 16, 15, 22, 40, 39 and 12? (a) 22 (b) 20 (c) 21 (d) 16
  40. 40.What is the mode of 14, 14, 6, 4, 6, 11 and 6? (a) 4 (b) 11 (c) 6 (d) 14

Answer key

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

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