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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 706 · 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 13, 5, 16, 14, 2 and 10? (a) 11 (b) 10 (c) 12 (d) 9
  2. 2.What is the median of 20, 30, 3, 24 and 1? (a) 21 (b) 3 (c) 24 (d) 20
  3. 3.What is the mode of 2, 16, 13, 13, 2, 19 and 13? (a) 13 (b) 19 (c) 16 (d) 2
  4. 4.What is the mode of 3, 19, 3, 1, 19, 19 and 11? (a) 1 (b) 3 (c) 11 (d) 19
  5. 5.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 14
  6. 6.What is the mean of 7, 9, 11, 15 and 8? (a) 11 (b) 12 (c) 10 (d) 9
  7. 7.The mean of 9 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 24 (b) 27 (c) 29 (d) 28
  8. 8.What is the median of 12, 8, 1, 2, 25, 26 and 7? (a) 12 (b) 7 (c) 8 (d) 2
  9. 9.The mean of 6 numbers is 18. When the number 11 is added to them, what is the new mean? (a) 16 (b) 17 (c) 19 (d) 18
  10. 10.What is the median of 33, 32, 30, 36, 11, 4 and 3? (a) 11 (b) 30 (c) 36 (d) 32
  11. 11.What is the mode of 18, 18, 6, 4, 16, 18 and 4? (a) 6 (b) 18 (c) 4 (d) 16
  12. 12.What is the mean of 2, 18, 8, 16, 8 and 8? (a) 11 (b) 10 (c) 9 (d) 12
  13. 13.What is the mean of 19, 14, 10 and 21? (a) 16 (b) 17 (c) 15 (d) 18
  14. 14.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 10 (b) 13 (c) 22 (d) 14
  15. 15.What is the median of 15, 34, 30, 4, 31, 8 and 22? (a) 15 (b) 4 (c) 30 (d) 22
  16. 16.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 16
  17. 17.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 23 (b) 27 (c) 24 (d) 25
  18. 18.What is the mode of 1, 5, 5, 2, 5, 1 and 8? (a) 1 (b) 2 (c) 8 (d) 5
  19. 19.What is the mode of 6, 4, 10, 4, 7, 4 and 6? (a) 10 (b) 4 (c) 6 (d) 7
  20. 20.What is the mode of 8, 4, 7, 7, 7, 4 and 20? (a) 20 (b) 4 (c) 7 (d) 8
  21. 21.What is the median of 36, 5, 12, 17 and 32? (a) 18 (b) 17 (c) 12 (d) 32
  22. 22.What is the mode of 3, 14, 16, 16, 16, 14 and 11? (a) 16 (b) 11 (c) 14 (d) 3
  23. 23.What is the mode of 5, 11, 11, 11, 15, 15 and 6? (a) 5 (b) 6 (c) 15 (d) 11
  24. 24.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 43 (b) 42 (c) 40 (d) 44
  25. 25.What is the median of 11, 15, 34, 1, 9, 31 and 5? (a) 9 (b) 1 (c) 11 (d) 15
  26. 26.The mean of 9 numbers is 14. When the number 54 is added to them, what is the new mean? (a) 34 (b) 14 (c) 18 (d) 19
  27. 27.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 16
  28. 28.What is the median of 9, 39, 37, 7, 40, 8 and 26? (a) 7 (b) 37 (c) 9 (d) 26
  29. 29.What is the mode of 16, 7, 11, 7, 19, 11 and 11? (a) 7 (b) 11 (c) 16 (d) 19
  30. 30.What is the median of 35, 30, 38, 16, 9, 40 and 29? (a) 16 (b) 35 (c) 30 (d) 29
  31. 31.What is the mean of 15, 11, 7 and 7? (a) 10 (b) 11 (c) 9 (d) 8
  32. 32.What is the mode of 9, 6, 7, 9, 6, 17 and 9? (a) 9 (b) 17 (c) 7 (d) 6
  33. 33.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 27 (b) 25 (c) 24 (d) 23
  34. 34.What is the median of 16, 1, 8, 28 and 31? (a) 16 (b) 8 (c) 17 (d) 28
  35. 35.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  36. 36.What is the mean of 13, 19, 9, 10 and 14? (a) 15 (b) 14 (c) 12 (d) 13
  37. 37.The mean of 6 numbers is 29. When the number 57 is added to them, what is the new mean? (a) 43 (b) 34 (c) 33 (d) 29
  38. 38.What is the mode of 1, 1, 6, 6, 2, 20 and 1? (a) 1 (b) 2 (c) 6 (d) 20
  39. 39.What is the median of 2, 15, 3, 1, 21, 25 and 12? (a) 3 (b) 12 (c) 15 (d) 1
  40. 40.The mean of 3 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 36 (b) 41 (c) 44 (d) 40

Answer key

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

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