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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 20 · 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 6, 5, 18, 9 and 17? (a) 18 (b) 9 (c) 17 (d) 11
  2. 2.What is the mean of 6, 5, 19, 3 and 12? (a) 8 (b) 10 (c) 11 (d) 9
  3. 3.What is the mode of 3, 20, 3, 5, 8, 20 and 20? (a) 8 (b) 3 (c) 20 (d) 5
  4. 4.What is the median of 12, 27, 35, 26, 36, 20 and 38? (a) 35 (b) 27 (c) 28 (d) 26
  5. 5.What is the mean of 18, 11, 4, 7, 4 and 16? (a) 11 (b) 12 (c) 9 (d) 10
  6. 6.What is the median of 27, 35, 38, 21 and 37? (a) 35 (b) 27 (c) 37 (d) 38
  7. 7.What is the mode of 13, 11, 16, 11, 12, 11 and 13? (a) 11 (b) 16 (c) 12 (d) 13
  8. 8.What is the median of 40, 38, 23, 19, 35, 30 and 22? (a) 19 (b) 23 (c) 30 (d) 35
  9. 9.What is the mean of 2, 16, 6 and 16? (a) 9 (b) 10 (c) 8 (d) 11
  10. 10.What is the mean of 18, 16, 7 and 11? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.What is the mean of 10, 4, 14, 17, 6 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  12. 12.The mean of 7 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 27 (b) 33 (c) 28 (d) 25
  13. 13.What is the median of 29, 39, 31, 6 and 13? (a) 30 (b) 31 (c) 13 (d) 29
  14. 14.What is the median of 11, 12, 21, 10 and 20? (a) 21 (b) 20 (c) 12 (d) 11
  15. 15.The mean of 5 numbers is 36. When the number 42 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 37
  16. 16.What is the mean of 10, 19, 3 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  17. 17.What is the mode of 18, 1, 8, 2, 1, 8 and 1? (a) 1 (b) 2 (c) 8 (d) 18
  18. 18.What is the mean of 14, 10, 3, 17, 3 and 19? (a) 13 (b) 12 (c) 11 (d) 10
  19. 19.What is the mode of 10, 1, 6, 3, 1, 6 and 1? (a) 3 (b) 1 (c) 10 (d) 6
  20. 20.What is the median of 25, 2, 29, 12 and 39? (a) 25 (b) 29 (c) 26 (d) 12
  21. 21.What is the median of 21, 39, 18, 36, 19, 3 and 27? (a) 19 (b) 21 (c) 27 (d) 36
  22. 22.What is the median of 40, 24, 16, 10, 3, 31 and 9? (a) 10 (b) 16 (c) 24 (d) 19
  23. 23.The mean of 5 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 39 (b) 34 (c) 30 (d) 33
  24. 24.What is the mode of 14, 14, 11, 20, 14, 10 and 20? (a) 11 (b) 14 (c) 20 (d) 10
  25. 25.What is the mode of 4, 14, 11, 3, 3, 11 and 3? (a) 4 (b) 11 (c) 3 (d) 14
  26. 26.What is the mode of 17, 8, 3, 8, 1, 8 and 3? (a) 3 (b) 1 (c) 17 (d) 8
  27. 27.What is the median of 22, 20, 29, 35 and 15? (a) 20 (b) 29 (c) 23 (d) 22
  28. 28.What is the mean of 3, 20, 5, 17, 17 and 10? (a) 13 (b) 14 (c) 12 (d) 11
  29. 29.What is the median of 5, 29, 24, 17 and 4? (a) 5 (b) 18 (c) 24 (d) 17
  30. 30.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 17 (b) 20 (c) 21 (d) 19
  31. 31.What is the median of 35, 10, 34, 31, 26, 20 and 29? (a) 30 (b) 29 (c) 31 (d) 26
  32. 32.What is the mean of 3, 19, 11, 7, 13 and 7? (a) 10 (b) 11 (c) 9 (d) 12
  33. 33.What is the mean of 18, 7, 3, 18, 12 and 14? (a) 13 (b) 11 (c) 14 (d) 12
  34. 34.What is the median of 7, 1, 20, 10, 3, 5 and 12? (a) 7 (b) 10 (c) 8 (d) 5
  35. 35.What is the median of 2, 8, 32, 40 and 5? (a) 5 (b) 9 (c) 32 (d) 8
  36. 36.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 34
  37. 37.What is the median of 22, 24, 9, 18, 31, 3 and 23? (a) 21 (b) 22 (c) 18 (d) 23
  38. 38.What is the mean of 10, 6, 9, 19, 6 and 16? (a) 13 (b) 10 (c) 11 (d) 12
  39. 39.What is the median of 12, 24, 36, 22 and 6? (a) 22 (b) 24 (c) 36 (d) 20
  40. 40.What is the mode of 2, 4, 5, 15, 4, 2 and 4? (a) 15 (b) 5 (c) 2 (d) 4

Answer key

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

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