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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 231 · 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 6, 9, 11, 8 and 6? (a) 10 (b) 9 (c) 8 (d) 7
  2. 2.What is the mode of 4, 4, 10, 1, 10, 7 and 4? (a) 10 (b) 4 (c) 7 (d) 1
  3. 3.What is the median of 22, 18, 7, 38, 31, 34 and 1? (a) 31 (b) 18 (c) 22 (d) 38
  4. 4.What is the median of 14, 13, 32, 31, 35, 17 and 4? (a) 14 (b) 17 (c) 31 (d) 18
  5. 5.What is the mode of 18, 6, 10, 18, 2, 6 and 6? (a) 18 (b) 6 (c) 10 (d) 2
  6. 6.What is the mode of 18, 18, 20, 18, 4, 11 and 20? (a) 18 (b) 4 (c) 11 (d) 20
  7. 7.What is the median of 25, 6, 26, 18, 2, 32 and 21? (a) 18 (b) 22 (c) 25 (d) 21
  8. 8.The mean of 3 numbers is 26. When the number 22 is added to them, what is the new mean? (a) 24 (b) 25 (c) 27 (d) 26
  9. 9.What is the mean of 8, 14, 2, 20 and 16? (a) 15 (b) 13 (c) 12 (d) 10
  10. 10.What is the median of 40, 38, 9, 3 and 25? (a) 9 (b) 25 (c) 38 (d) 23
  11. 11.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 7 (c) 10 (d) 12
  12. 12.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 22
  13. 13.What is the mean of 3, 10, 4, 12 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  14. 14.The mean of 8 numbers is 39. When the number 48 is added to them, what is the new mean? (a) 42 (b) 40 (c) 41 (d) 39
  15. 15.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 13 (b) 10 (c) 14 (d) 12
  16. 16.What is the mode of 7, 16, 20, 16, 8, 20 and 20? (a) 16 (b) 8 (c) 20 (d) 7
  17. 17.What is the median of 12, 29, 16, 38, 17, 23 and 2? (a) 38 (b) 16 (c) 23 (d) 17
  18. 18.What is the mean of 9, 2, 15 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  19. 19.What is the mode of 10, 3, 1, 1, 1, 15 and 15? (a) 15 (b) 1 (c) 3 (d) 10
  20. 20.What is the mean of 15, 8, 19, 5 and 8? (a) 13 (b) 12 (c) 10 (d) 11
  21. 21.The mean of 9 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 16 (b) 12 (c) 13 (d) 11
  22. 22.What is the median of 17, 37, 19, 2 and 28? (a) 28 (b) 17 (c) 20 (d) 19
  23. 23.What is the mean of 6, 11, 9, 3, 17 and 2? (a) 7 (b) 9 (c) 10 (d) 8
  24. 24.What is the median of 14, 15, 6, 35, 12, 22 and 2? (a) 12 (b) 14 (c) 15 (d) 35
  25. 25.What is the mode of 15, 9, 5, 4, 15, 15 and 4? (a) 9 (b) 15 (c) 5 (d) 4
  26. 26.What is the mean of 10, 7, 5, 2 and 11? (a) 9 (b) 7 (c) 6 (d) 8
  27. 27.What is the median of 8, 24, 18, 20, 22, 31 and 29? (a) 20 (b) 24 (c) 23 (d) 22
  28. 28.What is the mode of 9, 19, 9, 7, 19, 9 and 12? (a) 19 (b) 7 (c) 9 (d) 12
  29. 29.What is the median of 12, 23, 32, 36 and 16? (a) 16 (b) 23 (c) 24 (d) 32
  30. 30.What is the mode of 1, 8, 3, 8, 8, 4 and 3? (a) 3 (b) 4 (c) 1 (d) 8
  31. 31.What is the mode of 2, 12, 13, 20, 13, 12 and 12? (a) 13 (b) 2 (c) 20 (d) 12
  32. 32.What is the mean of 20, 14, 16, 3 and 12? (a) 14 (b) 12 (c) 13 (d) 15
  33. 33.What is the median of 39, 4, 2, 32 and 1? (a) 4 (b) 5 (c) 2 (d) 32
  34. 34.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 28 (b) 31 (c) 29 (d) 19
  35. 35.The mean of 5 numbers is 23. When the number 41 is added to them, what is the new mean? (a) 32 (b) 23 (c) 27 (d) 26
  36. 36.What is the mean of 20, 10, 4, 2 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  37. 37.What is the median of 27, 29, 37, 36 and 38? (a) 29 (b) 36 (c) 37 (d) 35
  38. 38.What is the mode of 10, 10, 17, 10, 2, 11 and 17? (a) 11 (b) 2 (c) 10 (d) 17
  39. 39.What is the mean of 14, 2, 9, 6, 14 and 21? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the mode of 14, 14, 8, 16, 5, 8 and 8? (a) 14 (b) 5 (c) 16 (d) 8

Answer key

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

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