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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 485 · 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 10, 2, 4, 19, 20 and 5? (a) 12 (b) 11 (c) 10 (d) 9
  2. 2.What is the mean of 8, 7, 20, 17 and 18? (a) 13 (b) 15 (c) 14 (d) 16
  3. 3.The mean of 3 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 32 (b) 31 (c) 28 (d) 30
  4. 4.The mean of 5 numbers is 16. When the number 10 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 14
  5. 5.What is the mean of 10, 18, 12, 13, 18 and 7? (a) 12 (b) 15 (c) 13 (d) 14
  6. 6.What is the median of 10, 5, 36, 2, 28, 25 and 1? (a) 5 (b) 10 (c) 25 (d) 2
  7. 7.What is the mode of 2, 4, 9, 18, 9, 9 and 18? (a) 4 (b) 2 (c) 18 (d) 9
  8. 8.What is the mean of 8, 6, 8, 6 and 2? (a) 8 (b) 5 (c) 6 (d) 7
  9. 9.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 35 (b) 36 (c) 37 (d) 34
  10. 10.What is the median of 29, 18, 35, 8, 37, 40 and 10? (a) 18 (b) 35 (c) 8 (d) 29
  11. 11.What is the mean of 15, 15, 4, 19, 18 and 19? (a) 14 (b) 18 (c) 15 (d) 16
  12. 12.What is the median of 40, 1, 36, 20, 10, 14 and 32? (a) 14 (b) 20 (c) 32 (d) 21
  13. 13.What is the mean of 7, 12, 17, 3 and 21? (a) 13 (b) 15 (c) 10 (d) 12
  14. 14.The mean of 3 numbers is 34. When the number 38 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 35
  15. 15.What is the mean of 19, 14, 8, 15, 8 and 20? (a) 12 (b) 14 (c) 13 (d) 15
  16. 16.What is the median of 25, 36, 17, 15 and 18? (a) 25 (b) 17 (c) 18 (d) 19
  17. 17.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 21 (b) 23 (c) 20 (d) 22
  18. 18.What is the mode of 9, 1, 10, 1, 3, 10 and 10? (a) 1 (b) 10 (c) 9 (d) 3
  19. 19.What is the mode of 4, 6, 17, 6, 4, 6 and 3? (a) 4 (b) 6 (c) 3 (d) 17
  20. 20.What is the mean of 3, 14, 10 and 9? (a) 12 (b) 8 (c) 10 (d) 9
  21. 21.What is the mode of 14, 14, 9, 9, 9, 5 and 8? (a) 8 (b) 5 (c) 9 (d) 14
  22. 22.What is the mode of 8, 6, 8, 8, 9, 12 and 9? (a) 9 (b) 6 (c) 8 (d) 12
  23. 23.What is the mean of 17, 12, 18, 4 and 14? (a) 14 (b) 12 (c) 13 (d) 15
  24. 24.What is the median of 23, 36, 38, 7 and 6? (a) 22 (b) 38 (c) 23 (d) 36
  25. 25.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  26. 26.What is the mode of 14, 3, 9, 7, 7, 3 and 7? (a) 9 (b) 3 (c) 14 (d) 7
  27. 27.What is the mean of 3, 4, 2, 2, 3 and 16? (a) 6 (b) 7 (c) 5 (d) 4
  28. 28.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 22
  29. 29.What is the median of 4, 2, 5, 10 and 9? (a) 9 (b) 4 (c) 6 (d) 5
  30. 30.What is the mean of 14, 3, 9, 5, 15 and 20? (a) 13 (b) 12 (c) 11 (d) 10
  31. 31.What is the mode of 4, 8, 19, 19, 5, 8 and 8? (a) 4 (b) 8 (c) 19 (d) 5
  32. 32.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 37
  33. 33.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 32 (c) 29 (d) 35
  34. 34.What is the mode of 11, 12, 16, 12, 16, 2 and 16? (a) 12 (b) 2 (c) 11 (d) 16
  35. 35.What is the mode of 10, 10, 20, 11, 10, 16 and 20? (a) 11 (b) 10 (c) 20 (d) 16
  36. 36.What is the mean of 10, 11, 5, 4, 13 and 17? (a) 9 (b) 10 (c) 11 (d) 12
  37. 37.What is the median of 13, 35, 10, 34, 12, 29 and 5? (a) 12 (b) 13 (c) 34 (d) 29
  38. 38.What is the median of 30, 3, 11, 15 and 5? (a) 12 (b) 11 (c) 15 (d) 5
  39. 39.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 39 (b) 40 (c) 37 (d) 42
  40. 40.What is the mode of 5, 9, 14, 14, 1, 1 and 1? (a) 1 (b) 14 (c) 9 (d) 5

Answer key

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

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