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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 570 · 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 10, 14, 11 and 9? (a) 12 (b) 11 (c) 10 (d) 13
  2. 2.What is the mean of 17, 12, 15, 6, 18 and 16? (a) 14 (b) 15 (c) 13 (d) 12
  3. 3.What is the mean of 12, 18, 7 and 3? (a) 10 (b) 9 (c) 11 (d) 8
  4. 4.What is the median of 37, 34, 1, 33 and 23? (a) 34 (b) 23 (c) 1 (d) 33
  5. 5.What is the mode of 15, 16, 16, 14, 14, 1 and 16? (a) 15 (b) 16 (c) 1 (d) 14
  6. 6.What is the mode of 20, 3, 7, 1, 3, 7 and 7? (a) 1 (b) 7 (c) 3 (d) 20
  7. 7.What is the median of 23, 27, 2, 39 and 6? (a) 6 (b) 27 (c) 2 (d) 23
  8. 8.What is the mode of 12, 20, 20, 16, 12, 12 and 13? (a) 16 (b) 13 (c) 20 (d) 12
  9. 9.What is the mode of 2, 11, 11, 11, 2, 3 and 19? (a) 19 (b) 2 (c) 11 (d) 3
  10. 10.What is the median of 21, 36, 5, 18 and 15? (a) 18 (b) 21 (c) 5 (d) 19
  11. 11.What is the median of 37, 21, 5, 15, 8, 39 and 16? (a) 21 (b) 15 (c) 17 (d) 16
  12. 12.The mean of 3 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 17 (b) 9 (c) 14 (d) 13
  13. 13.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 36 (b) 40 (c) 50 (d) 41
  14. 14.The mean of 4 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 31 (b) 35 (c) 41 (d) 36
  15. 15.What is the mode of 19, 19, 19, 5, 16, 7 and 7? (a) 16 (b) 5 (c) 19 (d) 7
  16. 16.What is the median of 6, 18, 12, 31 and 40? (a) 31 (b) 18 (c) 19 (d) 12
  17. 17.What is the median of 20, 12, 5, 37, 36, 33 and 14? (a) 37 (b) 33 (c) 20 (d) 14
  18. 18.What is the mean of 12, 18, 10 and 20? (a) 15 (b) 16 (c) 12 (d) 20
  19. 19.What is the mode of 2, 2, 10, 12, 10, 11 and 10? (a) 2 (b) 12 (c) 10 (d) 11
  20. 20.What is the median of 8, 30, 12, 25, 31, 2 and 22? (a) 22 (b) 25 (c) 12 (d) 23
  21. 21.The mean of 7 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 33 (b) 35 (c) 23 (d) 32
  22. 22.What is the mean of 5, 4, 8, 3 and 15? (a) 6 (b) 9 (c) 8 (d) 7
  23. 23.What is the mode of 10, 5, 11, 5, 2, 2 and 5? (a) 10 (b) 11 (c) 2 (d) 5
  24. 24.What is the mean of 18, 16, 12, 3, 5 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  25. 25.The mean of 7 numbers is 30. When the number 62 is added to them, what is the new mean? (a) 34 (b) 46 (c) 35 (d) 30
  26. 26.What is the mode of 17, 18, 1, 18, 1, 18 and 4? (a) 1 (b) 18 (c) 4 (d) 17
  27. 27.What is the mean of 14, 16, 5, 14, 9 and 8? (a) 11 (b) 10 (c) 12 (d) 13
  28. 28.The mean of 4 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 29 (b) 24 (c) 28 (d) 34
  29. 29.What is the mean of 12, 9, 14, 19 and 6? (a) 13 (b) 10 (c) 12 (d) 15
  30. 30.What is the mean of 2, 18, 9 and 19? (a) 16 (b) 13 (c) 11 (d) 12
  31. 31.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 28 (b) 27 (c) 25 (d) 26
  32. 32.What is the median of 29, 28, 3, 19, 20, 35 and 7? (a) 19 (b) 28 (c) 20 (d) 21
  33. 33.What is the mode of 11, 11, 20, 11, 6, 6 and 4? (a) 6 (b) 4 (c) 11 (d) 20
  34. 34.What is the median of 3, 35, 30, 32 and 18? (a) 30 (b) 31 (c) 18 (d) 32
  35. 35.What is the mean of 15, 13, 2, 8 and 12? (a) 11 (b) 12 (c) 10 (d) 9
  36. 36.What is the mode of 14, 2, 14, 11, 14, 2 and 16? (a) 11 (b) 2 (c) 16 (d) 14
  37. 37.What is the median of 18, 21, 5, 20, 37, 19 and 2? (a) 21 (b) 20 (c) 18 (d) 19
  38. 38.What is the median of 19, 24, 38, 40 and 35? (a) 38 (b) 36 (c) 35 (d) 24
  39. 39.What is the mode of 7, 7, 6, 7, 17, 6 and 15? (a) 6 (b) 7 (c) 15 (d) 17
  40. 40.The mean of 6 numbers is 37. When the number 16 is added to them, what is the new mean? (a) 35 (b) 33 (c) 37 (d) 34

Answer key

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

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