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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 59 · 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 3, 2, 17 and 6? (a) 7 (b) 8 (c) 9 (d) 6
  2. 2.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  3. 3.What is the median of 14, 4, 2, 26 and 29? (a) 26 (b) 15 (c) 2 (d) 14
  4. 4.What is the mean of 12, 12, 7 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  5. 5.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 20 (b) 19 (c) 22 (d) 21
  6. 6.What is the mode of 13, 11, 6, 4, 11, 11 and 6? (a) 13 (b) 11 (c) 6 (d) 4
  7. 7.What is the median of 33, 8, 23, 26 and 20? (a) 20 (b) 26 (c) 23 (d) 22
  8. 8.What is the mean of 12, 12, 3 and 13? (a) 10 (b) 8 (c) 11 (d) 9
  9. 9.What is the mean of 15, 8, 18, 5, 9 and 5? (a) 11 (b) 12 (c) 10 (d) 9
  10. 10.What is the median of 11, 31, 9, 34 and 5? (a) 9 (b) 31 (c) 11 (d) 18
  11. 11.What is the median of 1, 4, 11, 6, 9, 32 and 10? (a) 10 (b) 6 (c) 9 (d) 8
  12. 12.What is the mode of 15, 15, 15, 20, 14, 19 and 14? (a) 15 (b) 20 (c) 14 (d) 19
  13. 13.What is the mode of 3, 7, 1, 7, 5, 3 and 3? (a) 1 (b) 5 (c) 7 (d) 3
  14. 14.What is the mode of 3, 17, 7, 14, 3, 3 and 17? (a) 7 (b) 3 (c) 14 (d) 17
  15. 15.What is the mean of 19, 14, 16 and 3? (a) 15 (b) 13 (c) 14 (d) 12
  16. 16.What is the mean of 15, 6, 2, 12, 4 and 21? (a) 12 (b) 10 (c) 9 (d) 11
  17. 17.What is the median of 3, 9, 34, 15 and 24? (a) 24 (b) 34 (c) 15 (d) 17
  18. 18.The mean of 3 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 28 (b) 29 (c) 24 (d) 32
  19. 19.What is the mean of 16, 5, 7, 12, 16 and 22? (a) 12 (b) 14 (c) 15 (d) 13
  20. 20.What is the median of 11, 22, 39, 10 and 12? (a) 39 (b) 12 (c) 22 (d) 11
  21. 21.What is the median of 8, 9, 22, 6 and 10? (a) 22 (b) 10 (c) 11 (d) 9
  22. 22.What is the mode of 4, 15, 15, 15, 4, 20 and 16? (a) 16 (b) 15 (c) 20 (d) 4
  23. 23.The mean of 9 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 22
  24. 24.What is the mode of 17, 1, 2, 2, 1, 6 and 2? (a) 17 (b) 1 (c) 6 (d) 2
  25. 25.What is the mean of 8, 12, 14, 14, 6 and 6? (a) 12 (b) 10 (c) 11 (d) 9
  26. 26.What is the mean of 13, 17, 8, 4 and 23? (a) 15 (b) 13 (c) 12 (d) 14
  27. 27.What is the mean of 17, 11, 16, 5 and 11? (a) 13 (b) 10 (c) 12 (d) 15
  28. 28.What is the median of 2, 6, 1, 23 and 9? (a) 9 (b) 6 (c) 1 (d) 2
  29. 29.What is the mean of 16, 11, 9, 14 and 20? (a) 16 (b) 15 (c) 14 (d) 13
  30. 30.What is the mode of 1, 1, 17, 7, 7, 4 and 7? (a) 7 (b) 17 (c) 1 (d) 4
  31. 31.What is the median of 6, 4, 27, 21, 18, 23 and 35? (a) 21 (b) 22 (c) 23 (d) 18
  32. 32.What is the mean of 7, 19, 17, 14, 11 and 10? (a) 12 (b) 13 (c) 14 (d) 15
  33. 33.What is the median of 38, 14, 26, 35, 2, 17 and 21? (a) 21 (b) 35 (c) 17 (d) 26
  34. 34.What is the mean of 6, 19, 20, 9, 9 and 15? (a) 15 (b) 14 (c) 13 (d) 12
  35. 35.What is the mean of 4, 7, 8, 20, 14 and 19? (a) 13 (b) 12 (c) 11 (d) 14
  36. 36.What is the median of 25, 32, 21, 35 and 1? (a) 26 (b) 25 (c) 32 (d) 21
  37. 37.What is the mean of 2, 16, 3 and 11? (a) 10 (b) 7 (c) 8 (d) 9
  38. 38.What is the mean of 10, 7, 7, 20, 13 and 9? (a) 12 (b) 13 (c) 11 (d) 10
  39. 39.What is the median of 3, 30, 12, 29, 31, 24 and 26? (a) 24 (b) 27 (c) 26 (d) 29
  40. 40.The mean of 3 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 34

Answer key

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

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