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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 750 · 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 mode of 4, 1, 4, 19, 7, 4 and 19? (a) 4 (b) 1 (c) 7 (d) 19
  2. 2.What is the median of 7, 34, 36, 26, 39, 29 and 19? (a) 26 (b) 34 (c) 29 (d) 30
  3. 3.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 29 (b) 26 (c) 28 (d) 27
  4. 4.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 11
  5. 5.What is the median of 32, 13, 20, 8, 29, 28 and 3? (a) 8 (b) 20 (c) 28 (d) 19
  6. 6.The mean of 9 numbers is 37. When the number 27 is added to them, what is the new mean? (a) 32 (b) 37 (c) 35 (d) 36
  7. 7.What is the mode of 3, 13, 6, 3, 10, 3 and 13? (a) 13 (b) 10 (c) 3 (d) 6
  8. 8.What is the mode of 20, 13, 20, 7, 5, 7 and 20? (a) 20 (b) 5 (c) 13 (d) 7
  9. 9.What is the mean of 12, 19, 13 and 4? (a) 12 (b) 13 (c) 11 (d) 16
  10. 10.What is the mean of 17, 20, 14, 4, 7 and 10? (a) 11 (b) 14 (c) 12 (d) 13
  11. 11.What is the median of 1, 20, 10, 38, 7, 12 and 37? (a) 20 (b) 10 (c) 12 (d) 38
  12. 12.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 17 (b) 16 (c) 12 (d) 20
  13. 13.What is the mean of 15, 11, 17, 7, 8 and 8? (a) 13 (b) 10 (c) 12 (d) 11
  14. 14.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 26 (b) 24 (c) 21 (d) 25
  15. 15.What is the mean of 20, 9, 18, 3, 15 and 13? (a) 14 (b) 15 (c) 12 (d) 13
  16. 16.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 41 (b) 46 (c) 38 (d) 40
  17. 17.What is the mean of 19, 10, 5 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  18. 18.What is the mean of 2, 16, 7, 14 and 11? (a) 12 (b) 9 (c) 10 (d) 11
  19. 19.What is the median of 38, 4, 6, 5 and 16? (a) 5 (b) 6 (c) 7 (d) 16
  20. 20.What is the mean of 8, 7, 9, 7 and 9? (a) 9 (b) 10 (c) 7 (d) 8
  21. 21.What is the mean of 3, 20, 10, 7, 5 and 21? (a) 10 (b) 11 (c) 12 (d) 13
  22. 22.The mean of 5 numbers is 26. When the number 32 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 29
  23. 23.What is the median of 7, 19, 21, 13 and 25? (a) 13 (b) 19 (c) 17 (d) 21
  24. 24.What is the median of 9, 3, 40, 36, 38, 26 and 25? (a) 25 (b) 27 (c) 26 (d) 36
  25. 25.What is the mode of 16, 8, 13, 16, 6, 16 and 6? (a) 8 (b) 16 (c) 6 (d) 13
  26. 26.What is the mean of 18, 20, 8 and 22? (a) 18 (b) 16 (c) 17 (d) 19
  27. 27.What is the mean of 18, 17, 20, 20 and 5? (a) 20 (b) 17 (c) 16 (d) 15
  28. 28.The mean of 9 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 20 (c) 17 (d) 21
  29. 29.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 38
  30. 30.What is the mean of 3, 3, 4 and 6? (a) 4 (b) 3 (c) 5 (d) 6
  31. 31.What is the mode of 19, 10, 7, 19, 1, 19 and 7? (a) 1 (b) 10 (c) 19 (d) 7
  32. 32.What is the mode of 8, 15, 8, 15, 15, 20 and 3? (a) 8 (b) 15 (c) 20 (d) 3
  33. 33.What is the mean of 2, 17, 16, 4, 8 and 19? (a) 10 (b) 12 (c) 13 (d) 11
  34. 34.What is the mean of 15, 2, 3, 6, 3 and 7? (a) 7 (b) 5 (c) 8 (d) 6
  35. 35.What is the mean of 11, 20, 13 and 8? (a) 14 (b) 15 (c) 13 (d) 12
  36. 36.What is the mode of 5, 5, 5, 15, 3, 3 and 4? (a) 3 (b) 4 (c) 15 (d) 5
  37. 37.What is the mean of 12, 12, 17, 14 and 10? (a) 15 (b) 12 (c) 14 (d) 13
  38. 38.What is the mean of 7, 10, 12 and 7? (a) 9 (b) 10 (c) 12 (d) 8
  39. 39.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  40. 40.What is the mode of 2, 11, 11, 5, 5, 9 and 5? (a) 9 (b) 5 (c) 2 (d) 11

Answer key

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

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