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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 164 · 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 median of 5, 22, 28, 29, 35, 30 and 34? (a) 30 (b) 31 (c) 29 (d) 28
  2. 2.The mean of 7 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 11 (b) 18 (c) 17 (d) 19
  3. 3.What is the mean of 17, 19, 11, 6, 19 and 12? (a) 13 (b) 15 (c) 12 (d) 14
  4. 4.What is the mode of 12, 13, 12, 13, 10, 8 and 12? (a) 13 (b) 10 (c) 12 (d) 8
  5. 5.What is the median of 7, 15, 4, 13 and 10? (a) 10 (b) 7 (c) 4 (d) 13
  6. 6.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 29 (b) 27 (c) 26 (d) 28
  7. 7.What is the mean of 5, 18, 2, 16, 7 and 18? (a) 10 (b) 12 (c) 11 (d) 13
  8. 8.What is the mean of 10, 13, 18, 12, 15 and 4? (a) 14 (b) 13 (c) 11 (d) 12
  9. 9.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 41 (b) 40 (c) 42 (d) 39
  10. 10.What is the median of 19, 39, 10, 34 and 2? (a) 10 (b) 34 (c) 20 (d) 19
  11. 11.What is the mean of 8, 5, 16 and 11? (a) 11 (b) 9 (c) 8 (d) 10
  12. 12.What is the mode of 20, 11, 5, 3, 3, 11 and 3? (a) 20 (b) 3 (c) 5 (d) 11
  13. 13.What is the mode of 3, 9, 7, 9, 9, 20 and 20? (a) 20 (b) 9 (c) 7 (d) 3
  14. 14.What is the median of 34, 15, 24, 17 and 5? (a) 17 (b) 19 (c) 15 (d) 24
  15. 15.What is the mean of 2, 6, 5 and 23? (a) 9 (b) 10 (c) 8 (d) 12
  16. 16.What is the mean of 9, 7, 4, 4 and 11? (a) 9 (b) 7 (c) 6 (d) 8
  17. 17.What is the mean of 12, 13, 13, 2 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  18. 18.What is the mode of 15, 8, 6, 12, 8, 6 and 8? (a) 12 (b) 15 (c) 8 (d) 6
  19. 19.What is the mode of 2, 1, 3, 3, 3, 2 and 12? (a) 12 (b) 3 (c) 2 (d) 1
  20. 20.What is the mode of 1, 13, 1, 4, 1, 5 and 5? (a) 13 (b) 1 (c) 4 (d) 5
  21. 21.What is the median of 3, 12, 35, 37 and 9? (a) 35 (b) 13 (c) 12 (d) 9
  22. 22.What is the median of 34, 33, 36, 37 and 12? (a) 35 (b) 33 (c) 34 (d) 36
  23. 23.What is the mode of 12, 15, 15, 15, 20, 16 and 12? (a) 12 (b) 16 (c) 20 (d) 15
  24. 24.What is the median of 31, 18, 8, 33, 16, 1 and 34? (a) 31 (b) 33 (c) 16 (d) 18
  25. 25.What is the mode of 5, 7, 5, 7, 5, 9 and 3? (a) 7 (b) 9 (c) 3 (d) 5
  26. 26.What is the mode of 18, 17, 1, 7, 18, 7 and 18? (a) 1 (b) 7 (c) 17 (d) 18
  27. 27.What is the mean of 14, 13, 18, 20, 10 and 21? (a) 18 (b) 17 (c) 15 (d) 16
  28. 28.What is the mode of 13, 20, 13, 6, 13, 2 and 2? (a) 20 (b) 13 (c) 6 (d) 2
  29. 29.What is the mean of 6, 14, 4 and 4? (a) 7 (b) 6 (c) 8 (d) 9
  30. 30.What is the mean of 10, 12, 17 and 13? (a) 15 (b) 13 (c) 14 (d) 12
  31. 31.What is the mean of 14, 3, 11, 17, 2 and 7? (a) 11 (b) 8 (c) 10 (d) 9
  32. 32.What is the mode of 17, 1, 5, 5, 1, 4 and 1? (a) 4 (b) 17 (c) 5 (d) 1
  33. 33.What is the mode of 4, 3, 3, 14, 3, 1 and 14? (a) 1 (b) 14 (c) 4 (d) 3
  34. 34.What is the median of 14, 8, 13, 40, 7, 30 and 20? (a) 14 (b) 20 (c) 40 (d) 13
  35. 35.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 36
  36. 36.What is the mean of 6, 15, 4 and 15? (a) 9 (b) 10 (c) 11 (d) 8
  37. 37.What is the mean of 4, 2, 18, 18, 16 and 14? (a) 12 (b) 11 (c) 13 (d) 14
  38. 38.What is the mean of 14, 10, 11, 8 and 17? (a) 13 (b) 12 (c) 10 (d) 15
  39. 39.What is the median of 16, 39, 40, 7 and 26? (a) 26 (b) 16 (c) 40 (d) 39
  40. 40.What is the mode of 7, 4, 4, 10, 3, 3 and 3? (a) 7 (b) 4 (c) 3 (d) 10

Answer key

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

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