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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 62 · 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 17, 14, 16 and 21? (a) 19 (b) 16 (c) 17 (d) 18
  2. 2.What is the median of 9, 40, 5, 13 and 3? (a) 5 (b) 14 (c) 13 (d) 9
  3. 3.What is the mean of 4, 10, 12, 18, 6 and 10? (a) 10 (b) 12 (c) 11 (d) 9
  4. 4.What is the median of 34, 1, 15, 10 and 12? (a) 15 (b) 13 (c) 12 (d) 10
  5. 5.What is the mean of 13, 13, 6, 13 and 15? (a) 13 (b) 15 (c) 10 (d) 12
  6. 6.What is the mode of 13, 13, 11, 3, 15, 13 and 3? (a) 15 (b) 11 (c) 13 (d) 3
  7. 7.What is the median of 34, 38, 39, 22 and 18? (a) 38 (b) 39 (c) 22 (d) 34
  8. 8.What is the median of 24, 18, 37, 2 and 6? (a) 6 (b) 24 (c) 18 (d) 37
  9. 9.What is the mean of 14, 8, 4 and 6? (a) 9 (b) 8 (c) 7 (d) 10
  10. 10.The mean of 7 numbers is 29. When the number 61 is added to them, what is the new mean? (a) 45 (b) 34 (c) 33 (d) 29
  11. 11.What is the mode of 7, 18, 18, 15, 14, 18 and 7? (a) 7 (b) 14 (c) 15 (d) 18
  12. 12.What is the median of 35, 3, 17, 38 and 9? (a) 17 (b) 18 (c) 9 (d) 35
  13. 13.What is the mode of 11, 18, 18, 13, 4, 18 and 13? (a) 4 (b) 11 (c) 13 (d) 18
  14. 14.What is the mode of 4, 8, 5, 3, 5, 3 and 3? (a) 3 (b) 8 (c) 5 (d) 4
  15. 15.What is the mean of 20, 16, 7, 10, 19 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  16. 16.What is the mean of 3, 11, 11 and 3? (a) 8 (b) 6 (c) 7 (d) 9
  17. 17.What is the mode of 10, 15, 15, 11, 5, 5 and 5? (a) 11 (b) 10 (c) 5 (d) 15
  18. 18.What is the mean of 5, 19, 2 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.What is the median of 37, 1, 7, 24, 35, 29 and 15? (a) 25 (b) 29 (c) 15 (d) 24
  20. 20.What is the mean of 20, 3, 12 and 9? (a) 13 (b) 11 (c) 10 (d) 12
  21. 21.What is the mode of 8, 4, 20, 1, 1, 20 and 20? (a) 8 (b) 20 (c) 1 (d) 4
  22. 22.What is the median of 26, 36, 9, 21 and 11? (a) 26 (b) 11 (c) 9 (d) 21
  23. 23.What is the median of 9, 13, 24, 39, 3, 15 and 5? (a) 15 (b) 13 (c) 39 (d) 9
  24. 24.What is the mode of 4, 4, 15, 2, 3, 4 and 15? (a) 4 (b) 3 (c) 15 (d) 2
  25. 25.The mean of 8 numbers is 14. When the number 23 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 15
  26. 26.What is the median of 14, 37, 13, 29 and 6? (a) 29 (b) 14 (c) 15 (d) 13
  27. 27.The mean of 6 numbers is 22. When the number 36 is added to them, what is the new mean? (a) 24 (b) 29 (c) 22 (d) 25
  28. 28.What is the mean of 2, 5, 13 and 4? (a) 7 (b) 8 (c) 6 (d) 5
  29. 29.What is the mean of 9, 3, 14, 8, 18 and 8? (a) 12 (b) 10 (c) 9 (d) 11
  30. 30.What is the mean of 19, 13, 4, 11, 7 and 18? (a) 11 (b) 13 (c) 14 (d) 12
  31. 31.What is the mean of 6, 9, 5 and 20? (a) 8 (b) 11 (c) 10 (d) 9
  32. 32.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 16 (b) 17 (c) 11 (d) 15
  33. 33.The mean of 3 numbers is 28. When the number 16 is added to them, what is the new mean? (a) 28 (b) 22 (c) 26 (d) 25
  34. 34.The mean of 6 numbers is 37. When the number 44 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  35. 35.What is the mean of 3, 13, 16, 5, 18 and 5? (a) 9 (b) 11 (c) 12 (d) 10
  36. 36.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 43 (b) 46 (c) 38 (d) 42
  37. 37.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  38. 38.What is the mode of 12, 3, 9, 6, 3, 9 and 9? (a) 9 (b) 12 (c) 6 (d) 3
  39. 39.What is the mode of 5, 13, 19, 19, 13, 19 and 14? (a) 19 (b) 14 (c) 13 (d) 5
  40. 40.What is the mean of 9, 3, 8 and 4? (a) 7 (b) 5 (c) 8 (d) 6

Answer key

  1. 17
  2. 9
  3. 10
  4. 12
  5. 12
  6. 13
  7. 34
  8. 18
  9. 8
  10. 33
  11. 18
  12. 17
  13. 18
  14. 3
  15. 14
  16. 7
  17. 5
  18. 11
  19. 24
  20. 11
  21. 20
  22. 21
  23. 13
  24. 4
  25. 15
  26. 14
  27. 24
  28. 6
  29. 10
  30. 12
  31. 10
  32. 15
  33. 25
  34. 38
  35. 10
  36. 42
  37. 34
  38. 9
  39. 19
  40. 6

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