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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 249 · 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, 7, 4 and 4? (a) 8 (b) 7 (c) 9 (d) 6
  2. 2.What is the mode of 3, 3, 11, 18, 3, 11 and 4? (a) 3 (b) 18 (c) 11 (d) 4
  3. 3.What is the median of 15, 1, 5, 26, 11, 39 and 25? (a) 15 (b) 11 (c) 25 (d) 26
  4. 4.What is the mode of 1, 14, 4, 4, 4, 12 and 12? (a) 1 (b) 12 (c) 14 (d) 4
  5. 5.What is the mean of 10, 3, 16, 15 and 6? (a) 10 (b) 12 (c) 11 (d) 9
  6. 6.What is the mean of 16, 2, 7, 2 and 8? (a) 8 (b) 6 (c) 9 (d) 7
  7. 7.What is the mean of 11, 9, 3, 18, 15 and 10? (a) 11 (b) 10 (c) 12 (d) 13
  8. 8.What is the mode of 2, 2, 6, 2, 7, 7 and 8? (a) 2 (b) 7 (c) 8 (d) 6
  9. 9.What is the mean of 19, 16, 8 and 21? (a) 18 (b) 16 (c) 17 (d) 15
  10. 10.The mean of 4 numbers is 39. When the number 44 is added to them, what is the new mean? (a) 40 (b) 42 (c) 41 (d) 39
  11. 11.What is the mean of 11, 12, 13, 7 and 12? (a) 11 (b) 12 (c) 10 (d) 13
  12. 12.What is the median of 17, 19, 15, 4 and 25? (a) 16 (b) 17 (c) 19 (d) 15
  13. 13.The mean of 8 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 27 (b) 30 (c) 36 (d) 29
  14. 14.What is the mode of 15, 12, 15, 10, 4, 12 and 12? (a) 15 (b) 12 (c) 4 (d) 10
  15. 15.What is the mode of 12, 7, 13, 13, 13, 19 and 19? (a) 12 (b) 7 (c) 19 (d) 13
  16. 16.The mean of 8 numbers is 21. When the number 12 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 19
  17. 17.What is the median of 9, 8, 10, 22 and 28? (a) 9 (b) 22 (c) 11 (d) 10
  18. 18.What is the mode of 5, 1, 7, 7, 13, 7 and 5? (a) 13 (b) 7 (c) 1 (d) 5
  19. 19.What is the mode of 12, 7, 8, 6, 8, 12 and 8? (a) 8 (b) 6 (c) 7 (d) 12
  20. 20.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 17
  21. 21.The mean of 9 numbers is 33. When the number 3 is added to them, what is the new mean? (a) 33 (b) 18 (c) 30 (d) 31
  22. 22.What is the median of 33, 12, 10, 30 and 36? (a) 10 (b) 12 (c) 33 (d) 30
  23. 23.What is the mean of 6, 7, 2, 12 and 13? (a) 7 (b) 9 (c) 10 (d) 8
  24. 24.The mean of 7 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 17
  25. 25.The mean of 4 numbers is 35. When the number 40 is added to them, what is the new mean? (a) 35 (b) 38 (c) 37 (d) 36
  26. 26.What is the mode of 18, 9, 18, 9, 5, 18 and 17? (a) 18 (b) 17 (c) 9 (d) 5
  27. 27.What is the mean of 16, 18, 3 and 7? (a) 11 (b) 13 (c) 10 (d) 12
  28. 28.What is the mode of 10, 17, 5, 1, 5, 5 and 10? (a) 5 (b) 1 (c) 10 (d) 17
  29. 29.What is the mean of 11, 5, 13, 19 and 12? (a) 10 (b) 13 (c) 15 (d) 12
  30. 30.What is the mode of 14, 10, 7, 7, 1, 1 and 1? (a) 14 (b) 1 (c) 7 (d) 10
  31. 31.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 36 (b) 31 (c) 38 (d) 37
  32. 32.What is the median of 30, 28, 25, 21, 18, 4 and 15? (a) 22 (b) 25 (c) 21 (d) 18
  33. 33.What is the mode of 20, 11, 3, 16, 20, 11 and 20? (a) 20 (b) 16 (c) 3 (d) 11
  34. 34.What is the median of 20, 22, 26, 28 and 10? (a) 23 (b) 22 (c) 26 (d) 20
  35. 35.What is the median of 33, 8, 4, 7, 25, 38 and 22? (a) 25 (b) 7 (c) 8 (d) 22
  36. 36.What is the mean of 8, 10, 20 and 14? (a) 14 (b) 12 (c) 13 (d) 15
  37. 37.What is the mode of 10, 18, 10, 5, 16, 5 and 10? (a) 5 (b) 18 (c) 10 (d) 16
  38. 38.What is the mode of 15, 10, 18, 17, 18, 10 and 10? (a) 18 (b) 17 (c) 10 (d) 15
  39. 39.What is the mean of 17, 20, 17, 14 and 22? (a) 19 (b) 17 (c) 18 (d) 15
  40. 40.What is the mean of 11, 4, 5, 8 and 12? (a) 9 (b) 10 (c) 8 (d) 7

Answer key

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

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