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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 696 · 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 4, 2, 18, 17 and 19? (a) 15 (b) 10 (c) 12 (d) 13
  2. 2.What is the mode of 8, 3, 8, 5, 8, 13 and 13? (a) 5 (b) 13 (c) 8 (d) 3
  3. 3.What is the mean of 2, 9, 13, 7, 10 and 19? (a) 11 (b) 12 (c) 10 (d) 9
  4. 4.What is the mean of 10, 15, 14, 16 and 15? (a) 15 (b) 13 (c) 14 (d) 16
  5. 5.What is the mode of 10, 10, 6, 11, 13, 6 and 6? (a) 10 (b) 6 (c) 11 (d) 13
  6. 6.What is the mode of 20, 20, 20, 3, 1, 3 and 15? (a) 1 (b) 15 (c) 20 (d) 3
  7. 7.What is the mean of 7, 13, 4, 8 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  8. 8.What is the mode of 17, 17, 14, 14, 2, 14 and 4? (a) 4 (b) 14 (c) 17 (d) 2
  9. 9.What is the median of 27, 26, 3, 11, 28, 17 and 2? (a) 11 (b) 18 (c) 17 (d) 26
  10. 10.What is the mean of 20, 19, 9 and 20? (a) 18 (b) 17 (c) 19 (d) 16
  11. 11.The mean of 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 19 (b) 22 (c) 20 (d) 21
  12. 12.What is the mean of 10, 10, 2 and 6? (a) 7 (b) 9 (c) 6 (d) 8
  13. 13.What is the mode of 16, 16, 20, 6, 16, 13 and 6? (a) 20 (b) 16 (c) 13 (d) 6
  14. 14.What is the mode of 17, 8, 10, 17, 12, 10 and 17? (a) 17 (b) 10 (c) 8 (d) 12
  15. 15.What is the median of 29, 4, 33, 40 and 36? (a) 36 (b) 34 (c) 33 (d) 29
  16. 16.What is the median of 22, 20, 18, 8 and 38? (a) 21 (b) 18 (c) 20 (d) 22
  17. 17.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 16 (b) 31 (c) 28 (d) 29
  18. 18.What is the median of 29, 25, 5, 40 and 33? (a) 25 (b) 29 (c) 5 (d) 33
  19. 19.What is the mean of 3, 18, 9, 19, 16 and 13? (a) 13 (b) 15 (c) 12 (d) 14
  20. 20.What is the mode of 11, 15, 20, 15, 20, 15 and 8? (a) 15 (b) 11 (c) 8 (d) 20
  21. 21.What is the mean of 14, 18, 8 and 12? (a) 15 (b) 14 (c) 12 (d) 13
  22. 22.What is the mean of 5, 4, 5, 6, 9 and 13? (a) 7 (b) 9 (c) 8 (d) 6
  23. 23.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 27 (b) 42 (c) 31 (d) 30
  24. 24.What is the mode of 16, 20, 16, 16, 8, 12 and 20? (a) 16 (b) 20 (c) 8 (d) 12
  25. 25.What is the mode of 19, 16, 3, 16, 11, 19 and 16? (a) 19 (b) 3 (c) 11 (d) 16
  26. 26.What is the mode of 17, 15, 15, 15, 4, 4 and 19? (a) 15 (b) 19 (c) 4 (d) 17
  27. 27.What is the median of 38, 29, 20, 2 and 21? (a) 20 (b) 22 (c) 29 (d) 21
  28. 28.What is the mean of 11, 17, 6 and 22? (a) 14 (b) 13 (c) 16 (d) 15
  29. 29.The mean of 5 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 17 (b) 22 (c) 16 (d) 13
  30. 30.What is the median of 14, 31, 8, 38 and 39? (a) 26 (b) 8 (c) 38 (d) 31
  31. 31.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 26
  32. 32.What is the median of 29, 26, 40, 10 and 38? (a) 26 (b) 40 (c) 29 (d) 38
  33. 33.The mean of 5 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 34 (b) 32 (c) 28 (d) 33
  34. 34.What is the mean of 6, 5, 3, 4, 15 and 15? (a) 9 (b) 7 (c) 8 (d) 10
  35. 35.What is the mode of 12, 1, 2, 12, 1, 6 and 12? (a) 1 (b) 6 (c) 12 (d) 2
  36. 36.What is the median of 23, 6, 16, 12 and 2? (a) 6 (b) 16 (c) 12 (d) 13
  37. 37.What is the mode of 14, 18, 19, 1, 14, 19 and 19? (a) 1 (b) 19 (c) 14 (d) 18
  38. 38.The mean of 3 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 30 (b) 28 (c) 24 (d) 27
  39. 39.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 28 (b) 38 (c) 31 (d) 30
  40. 40.What is the mode of 12, 10, 11, 10, 11, 10 and 20? (a) 11 (b) 12 (c) 20 (d) 10

Answer key

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

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