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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 599 · 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 4 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 31 (b) 34 (c) 29 (d) 32
  2. 2.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 10
  3. 3.What is the mean of 11, 10, 17, 2 and 5? (a) 10 (b) 8 (c) 9 (d) 11
  4. 4.What is the mode of 16, 8, 18, 8, 16, 14 and 8? (a) 16 (b) 18 (c) 14 (d) 8
  5. 5.What is the median of 20, 12, 8, 30, 27, 7 and 2? (a) 30 (b) 8 (c) 12 (d) 20
  6. 6.What is the median of 35, 18, 2, 28, 7, 34 and 26? (a) 18 (b) 28 (c) 27 (d) 26
  7. 7.What is the median of 39, 28, 12, 11 and 19? (a) 28 (b) 12 (c) 19 (d) 20
  8. 8.The mean of 8 numbers is 29. When the number 56 is added to them, what is the new mean? (a) 29 (b) 31 (c) 33 (d) 32
  9. 9.What is the mean of 17, 6, 12, 9 and 11? (a) 10 (b) 12 (c) 11 (d) 13
  10. 10.What is the mean of 18, 7, 7 and 20? (a) 14 (b) 15 (c) 12 (d) 13
  11. 11.The mean of 7 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 38
  12. 12.What is the median of 37, 2, 28, 38, 32, 8 and 17? (a) 38 (b) 17 (c) 32 (d) 28
  13. 13.The mean of 8 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 30 (b) 38 (c) 37 (d) 39
  14. 14.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 19 (b) 17 (c) 20 (d) 23
  15. 15.What is the median of 33, 8, 17, 18 and 31? (a) 17 (b) 19 (c) 31 (d) 18
  16. 16.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 17 (b) 22 (c) 12 (d) 16
  17. 17.The mean of 9 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 15 (b) 18 (c) 13 (d) 14
  18. 18.What is the median of 1, 32, 12, 22 and 23? (a) 12 (b) 22 (c) 23 (d) 18
  19. 19.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 22 (b) 14 (c) 15 (d) 10
  20. 20.What is the mode of 17, 13, 13, 9, 13, 20 and 17? (a) 17 (b) 20 (c) 9 (d) 13
  21. 21.What is the mode of 15, 19, 5, 15, 1, 5 and 5? (a) 15 (b) 1 (c) 19 (d) 5
  22. 22.What is the mean of 16, 16, 4, 4, 6 and 20? (a) 13 (b) 11 (c) 12 (d) 10
  23. 23.What is the mean of 5, 18, 17, 13, 7 and 24? (a) 13 (b) 15 (c) 14 (d) 12
  24. 24.What is the mean of 15, 14, 9, 7, 16 and 17? (a) 14 (b) 15 (c) 13 (d) 12
  25. 25.What is the mode of 19, 19, 4, 4, 19, 8 and 12? (a) 19 (b) 12 (c) 8 (d) 4
  26. 26.What is the median of 8, 28, 18, 15, 11, 32 and 39? (a) 28 (b) 19 (c) 15 (d) 18
  27. 27.What is the mode of 18, 16, 1, 18, 10, 18 and 10? (a) 1 (b) 10 (c) 18 (d) 16
  28. 28.What is the median of 39, 29, 7, 5 and 6? (a) 6 (b) 7 (c) 8 (d) 29
  29. 29.What is the mean of 8, 8, 18, 11 and 5? (a) 12 (b) 10 (c) 9 (d) 11
  30. 30.What is the median of 16, 27, 15, 30 and 24? (a) 15 (b) 24 (c) 27 (d) 16
  31. 31.What is the mode of 10, 1, 20, 1, 20, 20 and 13? (a) 10 (b) 13 (c) 1 (d) 20
  32. 32.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 37 (b) 41 (c) 49 (d) 40
  33. 33.What is the mean of 2, 12, 11, 6, 16 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  34. 34.What is the mean of 10, 10, 12, 17, 18 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  35. 35.What is the median of 32, 2, 37, 29 and 11? (a) 29 (b) 32 (c) 11 (d) 37
  36. 36.What is the median of 4, 33, 11, 6 and 39? (a) 6 (b) 12 (c) 33 (d) 11
  37. 37.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 20 (b) 14 (c) 12 (d) 15
  38. 38.What is the mode of 14, 4, 4, 3, 14, 19 and 4? (a) 3 (b) 4 (c) 14 (d) 19
  39. 39.What is the mean of 17, 4, 5 and 6? (a) 10 (b) 8 (c) 7 (d) 9
  40. 40.What is the median of 7, 32, 22, 39 and 3? (a) 7 (b) 23 (c) 32 (d) 22

Answer key

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

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