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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 135 · 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 mode of 4, 4, 9, 9, 4, 3 and 7? (a) 9 (b) 3 (c) 4 (d) 7
  2. 2.What is the mean of 5, 17, 16, 16, 13 and 11? (a) 13 (b) 14 (c) 15 (d) 12
  3. 3.What is the median of 10, 34, 11, 7, 39, 33 and 18? (a) 7 (b) 18 (c) 11 (d) 33
  4. 4.What is the median of 29, 11, 26, 38 and 7? (a) 26 (b) 29 (c) 27 (d) 11
  5. 5.The mean of 5 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 20 (b) 16 (c) 21 (d) 28
  6. 6.What is the median of 37, 39, 10, 2, 16, 1 and 23? (a) 2 (b) 10 (c) 16 (d) 23
  7. 7.What is the mode of 2, 15, 18, 6, 15, 18 and 15? (a) 15 (b) 18 (c) 2 (d) 6
  8. 8.What is the median of 11, 12, 21, 38, 36, 39 and 14? (a) 21 (b) 14 (c) 38 (d) 36
  9. 9.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 38
  10. 10.What is the median of 39, 28, 24, 30, 9, 25 and 8? (a) 28 (b) 24 (c) 25 (d) 30
  11. 11.What is the mode of 14, 9, 9, 19, 19, 3 and 9? (a) 3 (b) 9 (c) 14 (d) 19
  12. 12.What is the mode of 10, 14, 17, 11, 11, 17 and 11? (a) 14 (b) 11 (c) 10 (d) 17
  13. 13.What is the mean of 7, 6, 4 and 19? (a) 10 (b) 12 (c) 9 (d) 8
  14. 14.What is the mean of 9, 18, 9, 12, 11 and 7? (a) 10 (b) 13 (c) 12 (d) 11
  15. 15.The mean of 3 numbers is 25. When the number 29 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 28
  16. 16.What is the mode of 13, 8, 7, 17, 7, 7 and 17? (a) 17 (b) 7 (c) 13 (d) 8
  17. 17.What is the mean of 11, 5, 17, 12, 17 and 16? (a) 12 (b) 14 (c) 15 (d) 13
  18. 18.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 38 (b) 51 (c) 37 (d) 33
  19. 19.What is the mode of 2, 5, 5, 16, 11, 5 and 16? (a) 16 (b) 2 (c) 5 (d) 11
  20. 20.The mean of 8 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 21
  21. 21.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 39 (b) 43 (c) 41 (d) 42
  22. 22.What is the mode of 17, 3, 3, 20, 20, 2 and 3? (a) 20 (b) 17 (c) 2 (d) 3
  23. 23.What is the mean of 7, 17, 20, 6 and 15? (a) 15 (b) 13 (c) 12 (d) 14
  24. 24.What is the median of 23, 32, 4, 37 and 38? (a) 23 (b) 32 (c) 4 (d) 37
  25. 25.What is the mean of 6, 6, 16 and 12? (a) 11 (b) 8 (c) 10 (d) 9
  26. 26.What is the median of 22, 5, 28, 21, 34, 19 and 39? (a) 24 (b) 21 (c) 28 (d) 22
  27. 27.What is the mean of 4, 15, 12, 13 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  28. 28.What is the mean of 13, 11, 17 and 7? (a) 13 (b) 16 (c) 11 (d) 12
  29. 29.What is the median of 10, 22, 26, 20 and 35? (a) 23 (b) 20 (c) 22 (d) 26
  30. 30.What is the median of 24, 26, 25, 36 and 15? (a) 26 (b) 25 (c) 24 (d) 27
  31. 31.What is the mode of 11, 10, 3, 10, 15, 10 and 15? (a) 15 (b) 3 (c) 10 (d) 11
  32. 32.What is the mode of 11, 11, 15, 10, 15, 15 and 19? (a) 11 (b) 15 (c) 10 (d) 19
  33. 33.What is the mode of 1, 14, 9, 9, 6, 6 and 6? (a) 9 (b) 6 (c) 1 (d) 14
  34. 34.What is the mean of 6, 16, 7 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  35. 35.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 14 (b) 19 (c) 16 (d) 15
  36. 36.What is the mode of 15, 4, 5, 6, 15, 5 and 5? (a) 6 (b) 5 (c) 4 (d) 15
  37. 37.What is the mean of 19, 12, 15 and 6? (a) 14 (b) 15 (c) 13 (d) 12
  38. 38.What is the mean of 12, 14, 2, 9 and 18? (a) 12 (b) 10 (c) 11 (d) 13
  39. 39.What is the median of 25, 22, 2, 12 and 32? (a) 25 (b) 22 (c) 12 (d) 2
  40. 40.What is the mean of 5, 6, 6 and 7? (a) 5 (b) 8 (c) 7 (d) 6

Answer key

  1. 4
  2. 13
  3. 18
  4. 26
  5. 20
  6. 16
  7. 15
  8. 21
  9. 39
  10. 25
  11. 9
  12. 11
  13. 9
  14. 11
  15. 26
  16. 7
  17. 13
  18. 37
  19. 5
  20. 28
  21. 41
  22. 3
  23. 13
  24. 32
  25. 10
  26. 22
  27. 10
  28. 12
  29. 22
  30. 25
  31. 10
  32. 15
  33. 6
  34. 11
  35. 15
  36. 5
  37. 13
  38. 11
  39. 22
  40. 6

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