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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 452 · 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 median of 3, 14, 31, 20 and 27? (a) 19 (b) 20 (c) 31 (d) 27
  2. 2.What is the mean of 20, 2, 6, 7 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  3. 3.What is the mode of 5, 2, 6, 5, 6, 16 and 5? (a) 16 (b) 2 (c) 6 (d) 5
  4. 4.What is the mean of 17, 3, 16 and 4? (a) 8 (b) 9 (c) 10 (d) 11
  5. 5.What is the median of 12, 3, 30, 2 and 27? (a) 3 (b) 27 (c) 12 (d) 30
  6. 6.What is the mean of 20, 9, 2, 10, 7 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  7. 7.What is the mode of 6, 11, 11, 4, 6, 9 and 11? (a) 6 (b) 4 (c) 11 (d) 9
  8. 8.What is the mean of 17, 19, 19 and 13? (a) 18 (b) 19 (c) 17 (d) 16
  9. 9.What is the mean of 5, 10, 4, 4 and 17? (a) 9 (b) 7 (c) 10 (d) 8
  10. 10.What is the median of 1, 39, 28, 12 and 19? (a) 12 (b) 20 (c) 19 (d) 28
  11. 11.What is the mean of 12, 19, 17, 5 and 12? (a) 13 (b) 15 (c) 12 (d) 14
  12. 12.What is the median of 3, 13, 4, 37, 34, 10 and 38? (a) 10 (b) 13 (c) 37 (d) 34
  13. 13.What is the mode of 14, 20, 5, 5, 5, 18 and 18? (a) 18 (b) 14 (c) 5 (d) 20
  14. 14.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 36 (b) 39 (c) 38 (d) 37
  15. 15.The mean of 4 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 30 (b) 33 (c) 35 (d) 32
  16. 16.What is the mean of 8, 8, 10 and 18? (a) 10 (b) 11 (c) 13 (d) 12
  17. 17.The mean of 5 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 44 (b) 43 (c) 40 (d) 49
  18. 18.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 44 (b) 39 (c) 47 (d) 43
  19. 19.What is the mean of 13, 12, 7, 4, 8 and 10? (a) 10 (b) 8 (c) 11 (d) 9
  20. 20.What is the median of 21, 29, 6, 22, 4, 27 and 12? (a) 22 (b) 20 (c) 21 (d) 12
  21. 21.The mean of 5 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 13 (b) 25 (c) 22 (d) 21
  22. 22.What is the mean of 10, 5, 11 and 22? (a) 16 (b) 12 (c) 11 (d) 13
  23. 23.What is the median of 18, 14, 12, 38, 4, 36 and 2? (a) 18 (b) 38 (c) 12 (d) 14
  24. 24.What is the mean of 2, 17, 16, 5 and 5? (a) 11 (b) 8 (c) 10 (d) 9
  25. 25.The mean of 3 numbers is 28. When the number 24 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 26
  26. 26.What is the median of 35, 31, 7, 10, 19, 5 and 22? (a) 22 (b) 10 (c) 20 (d) 19
  27. 27.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 22 (b) 14 (c) 23 (d) 26
  28. 28.The mean of 3 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 18 (c) 20 (d) 21
  29. 29.What is the mode of 4, 1, 8, 1, 5, 4 and 4? (a) 1 (b) 5 (c) 4 (d) 8
  30. 30.What is the mean of 15, 12, 14, 18 and 11? (a) 14 (b) 15 (c) 16 (d) 13
  31. 31.What is the mean of 3, 14, 18, 4 and 21? (a) 12 (b) 13 (c) 15 (d) 10
  32. 32.What is the mean of 3, 11, 18 and 8? (a) 11 (b) 8 (c) 9 (d) 10
  33. 33.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 38 (b) 36 (c) 35 (d) 37
  34. 34.What is the median of 1, 18, 17, 22, 11, 5 and 4? (a) 11 (b) 22 (c) 17 (d) 5
  35. 35.What is the mode of 16, 16, 16, 2, 17, 17 and 9? (a) 16 (b) 17 (c) 2 (d) 9
  36. 36.The mean of 4 numbers is 37. When the number 22 is added to them, what is the new mean? (a) 37 (b) 33 (c) 35 (d) 34
  37. 37.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  38. 38.What is the mean of 11, 19, 10 and 20? (a) 15 (b) 16 (c) 12 (d) 20
  39. 39.The mean of 4 numbers is 20. When the number 25 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  40. 40.What is the mode of 7, 8, 8, 4, 17, 4 and 4? (a) 17 (b) 7 (c) 8 (d) 4

Answer key

  1. 20
  2. 8
  3. 5
  4. 10
  5. 12
  6. 9
  7. 11
  8. 17
  9. 8
  10. 19
  11. 13
  12. 13
  13. 5
  14. 37
  15. 32
  16. 11
  17. 43
  18. 43
  19. 9
  20. 21
  21. 21
  22. 12
  23. 14
  24. 9
  25. 27
  26. 19
  27. 22
  28. 20
  29. 4
  30. 14
  31. 12
  32. 10
  33. 36
  34. 11
  35. 16
  36. 34
  37. 39
  38. 15
  39. 21
  40. 4

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