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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 312 · 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 3, 18, 19 and 12? (a) 14 (b) 15 (c) 13 (d) 12
  2. 2.What is the mode of 12, 18, 3, 12, 16, 18 and 18? (a) 18 (b) 3 (c) 16 (d) 12
  3. 3.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 37 (b) 36 (c) 34 (d) 35
  4. 4.What is the median of 28, 11, 33, 13, 5, 35 and 19? (a) 19 (b) 28 (c) 13 (d) 20
  5. 5.What is the mean of 8, 10, 8, 8, 19 and 19? (a) 13 (b) 11 (c) 12 (d) 14
  6. 6.What is the mode of 19, 8, 10, 1, 8, 1 and 8? (a) 1 (b) 8 (c) 10 (d) 19
  7. 7.What is the mean of 13, 11, 5, 8, 2 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  8. 8.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 17
  9. 9.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 29 (c) 35 (d) 32
  10. 10.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 13 (b) 29 (c) 17 (d) 18
  11. 11.What is the mode of 7, 7, 13, 6, 7, 6 and 2? (a) 6 (b) 7 (c) 2 (d) 13
  12. 12.What is the mean of 5, 15, 2, 5, 10 and 17? (a) 10 (b) 9 (c) 8 (d) 11
  13. 13.What is the mean of 6, 11, 7, 10 and 11? (a) 8 (b) 9 (c) 10 (d) 11
  14. 14.What is the mode of 20, 12, 6, 6, 12, 10 and 12? (a) 10 (b) 20 (c) 12 (d) 6
  15. 15.What is the median of 35, 30, 26, 40 and 2? (a) 26 (b) 35 (c) 30 (d) 31
  16. 16.What is the median of 2, 31, 11, 21 and 40? (a) 31 (b) 11 (c) 21 (d) 22
  17. 17.What is the median of 25, 9, 11, 13 and 18? (a) 18 (b) 11 (c) 13 (d) 14
  18. 18.What is the mean of 2, 20, 3 and 7? (a) 7 (b) 9 (c) 8 (d) 10
  19. 19.What is the mean of 10, 11, 18 and 21? (a) 16 (b) 20 (c) 12 (d) 15
  20. 20.What is the median of 6, 39, 7, 16 and 36? (a) 7 (b) 16 (c) 36 (d) 17
  21. 21.What is the median of 10, 13, 23, 22 and 19? (a) 22 (b) 19 (c) 23 (d) 13
  22. 22.What is the median of 36, 38, 19, 4 and 13? (a) 19 (b) 22 (c) 36 (d) 13
  23. 23.What is the median of 30, 5, 24, 12 and 11? (a) 13 (b) 24 (c) 12 (d) 11
  24. 24.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 32 (b) 33 (c) 36 (d) 22
  25. 25.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 49 (b) 42 (c) 41 (d) 37
  26. 26.The mean of 8 numbers is 19. When the number 10 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  27. 27.What is the median of 17, 8, 28, 19, 4, 33 and 20? (a) 18 (b) 17 (c) 19 (d) 20
  28. 28.What is the mode of 4, 4, 9, 9, 9, 13 and 19? (a) 9 (b) 19 (c) 4 (d) 13
  29. 29.What is the mean of 5, 5, 3 and 11? (a) 5 (b) 8 (c) 7 (d) 6
  30. 30.The mean of 5 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 39 (b) 34 (c) 38 (d) 40
  31. 31.What is the median of 36, 33, 32, 22 and 18? (a) 33 (b) 31 (c) 22 (d) 32
  32. 32.What is the median of 26, 2, 33, 8, 20, 32 and 4? (a) 8 (b) 20 (c) 21 (d) 26
  33. 33.What is the median of 1, 10, 25, 17 and 34? (a) 17 (b) 18 (c) 25 (d) 10
  34. 34.What is the median of 16, 33, 1, 4 and 11? (a) 13 (b) 11 (c) 1 (d) 16
  35. 35.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 48 (b) 39 (c) 42 (d) 43
  36. 36.The mean of 9 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 13 (b) 12 (c) 17 (d) 14
  37. 37.The mean of 8 numbers is 31. When the number 22 is added to them, what is the new mean? (a) 29 (b) 32 (c) 30 (d) 31
  38. 38.What is the median of 11, 2, 38, 16, 26, 3 and 29? (a) 11 (b) 16 (c) 26 (d) 17
  39. 39.The mean of 7 numbers is 11. When the number 43 is added to them, what is the new mean? (a) 16 (b) 11 (c) 27 (d) 15
  40. 40.The mean of 9 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 18 (b) 16 (c) 19 (d) 26

Answer key

  1. 13
  2. 18
  3. 35
  4. 19
  5. 12
  6. 8
  7. 8
  8. 15
  9. 32
  10. 17
  11. 7
  12. 9
  13. 9
  14. 12
  15. 30
  16. 21
  17. 13
  18. 8
  19. 15
  20. 16
  21. 19
  22. 19
  23. 12
  24. 32
  25. 41
  26. 18
  27. 19
  28. 9
  29. 6
  30. 38
  31. 32
  32. 20
  33. 17
  34. 11
  35. 42
  36. 13
  37. 30
  38. 16
  39. 15
  40. 18

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