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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 466 · 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.The mean of 5 numbers is 11. When the number 5 is added to them, what is the new mean? (a) 10 (b) 9 (c) 8 (d) 11
  2. 2.What is the median of 28, 20, 40, 8, 4, 13 and 14? (a) 8 (b) 13 (c) 14 (d) 20
  3. 3.What is the mean of 12, 8, 13 and 11? (a) 11 (b) 13 (c) 12 (d) 10
  4. 4.What is the mean of 18, 15, 9 and 18? (a) 20 (b) 16 (c) 15 (d) 12
  5. 5.What is the mode of 14, 14, 18, 11, 14, 6 and 18? (a) 6 (b) 11 (c) 14 (d) 18
  6. 6.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 33 (c) 36 (d) 35
  7. 7.What is the mode of 8, 19, 19, 6, 5, 6 and 6? (a) 5 (b) 6 (c) 8 (d) 19
  8. 8.What is the mode of 20, 17, 17, 20, 11, 17 and 5? (a) 17 (b) 11 (c) 20 (d) 5
  9. 9.The mean of 8 numbers is 30. When the number 3 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 30
  10. 10.What is the mean of 6, 15, 11 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  11. 11.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 39 (b) 36 (c) 37 (d) 38
  12. 12.What is the mean of 20, 15, 3, 5, 18 and 17? (a) 12 (b) 13 (c) 15 (d) 14
  13. 13.What is the median of 36, 28, 13, 34, 14, 9 and 35? (a) 28 (b) 34 (c) 29 (d) 14
  14. 14.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 41 (b) 37 (c) 42 (d) 45
  15. 15.What is the mean of 4, 4, 4 and 4? (a) 4 (b) 6 (c) 5 (d) 3
  16. 16.What is the mean of 6, 13, 14 and 15? (a) 16 (b) 13 (c) 12 (d) 11
  17. 17.What is the mode of 18, 4, 13, 18, 8, 13 and 18? (a) 8 (b) 18 (c) 13 (d) 4
  18. 18.The mean of 9 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 13
  19. 19.What is the mode of 2, 6, 2, 2, 3, 18 and 3? (a) 18 (b) 3 (c) 2 (d) 6
  20. 20.What is the mean of 7, 20, 16, 15, 18 and 20? (a) 17 (b) 16 (c) 18 (d) 15
  21. 21.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 37
  22. 22.The mean of 5 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 26 (b) 21 (c) 20 (d) 17
  23. 23.What is the mean of 3, 13, 9, 3, 10 and 10? (a) 7 (b) 10 (c) 9 (d) 8
  24. 24.What is the median of 21, 38, 9, 17 and 19? (a) 9 (b) 21 (c) 17 (d) 19
  25. 25.What is the mode of 2, 8, 8, 7, 2, 8 and 10? (a) 8 (b) 7 (c) 10 (d) 2
  26. 26.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 19 (b) 21 (c) 18 (d) 20
  27. 27.What is the mean of 15, 6, 7 and 8? (a) 8 (b) 10 (c) 9 (d) 12
  28. 28.What is the mean of 13, 2, 5 and 12? (a) 9 (b) 8 (c) 10 (d) 7
  29. 29.What is the median of 8, 25, 20, 9, 27, 2 and 14? (a) 9 (b) 15 (c) 20 (d) 14
  30. 30.What is the mean of 18, 12, 7, 13, 20 and 20? (a) 16 (b) 18 (c) 15 (d) 14
  31. 31.What is the mean of 11, 6, 9, 15, 13 and 6? (a) 10 (b) 9 (c) 12 (d) 11
  32. 32.What is the mean of 2, 3, 14 and 5? (a) 8 (b) 7 (c) 5 (d) 6
  33. 33.What is the median of 29, 38, 4, 5, 11, 7 and 37? (a) 7 (b) 29 (c) 11 (d) 5
  34. 34.What is the mode of 20, 16, 3, 16, 4, 16 and 20? (a) 16 (b) 4 (c) 3 (d) 20
  35. 35.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 25 (b) 37 (c) 28 (d) 29
  36. 36.What is the mean of 20, 2, 10, 8 and 15? (a) 13 (b) 12 (c) 11 (d) 10
  37. 37.What is the median of 23, 35, 33, 24 and 5? (a) 24 (b) 25 (c) 23 (d) 33
  38. 38.What is the mean of 2, 11, 4 and 11? (a) 6 (b) 7 (c) 8 (d) 9
  39. 39.What is the median of 27, 23, 34, 37, 36, 30 and 40? (a) 36 (b) 37 (c) 34 (d) 30
  40. 40.What is the mean of 6, 13, 12, 8 and 21? (a) 15 (b) 13 (c) 10 (d) 12

Answer key

  1. 10
  2. 14
  3. 11
  4. 15
  5. 14
  6. 35
  7. 6
  8. 17
  9. 27
  10. 13
  11. 37
  12. 13
  13. 28
  14. 41
  15. 4
  16. 12
  17. 18
  18. 21
  19. 2
  20. 16
  21. 36
  22. 20
  23. 8
  24. 19
  25. 8
  26. 19
  27. 9
  28. 8
  29. 14
  30. 15
  31. 10
  32. 6
  33. 11
  34. 16
  35. 28
  36. 11
  37. 24
  38. 7
  39. 34
  40. 12

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