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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 436 · 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 26, 36, 23, 8, 20, 33 and 12? (a) 8 (b) 20 (c) 23 (d) 26
  2. 2.What is the mean of 6, 2, 17 and 7? (a) 10 (b) 7 (c) 8 (d) 9
  3. 3.The mean of 8 numbers is 26. When the number 53 is added to them, what is the new mean? (a) 29 (b) 26 (c) 30 (d) 28
  4. 4.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 22 (b) 18 (c) 20 (d) 21
  5. 5.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 28
  6. 6.What is the mode of 1, 2, 2, 3, 18, 18 and 18? (a) 2 (b) 3 (c) 1 (d) 18
  7. 7.What is the mean of 19, 14, 4, 12 and 6? (a) 12 (b) 10 (c) 11 (d) 13
  8. 8.What is the mode of 12, 6, 15, 4, 4, 6 and 4? (a) 12 (b) 15 (c) 4 (d) 6
  9. 9.What is the median of 25, 29, 17, 19 and 34? (a) 25 (b) 17 (c) 19 (d) 29
  10. 10.What is the mean of 5, 4, 20 and 3? (a) 10 (b) 9 (c) 8 (d) 7
  11. 11.What is the median of 4, 28, 31, 34, 33, 40 and 9? (a) 31 (b) 33 (c) 34 (d) 28
  12. 12.What is the mode of 14, 12, 12, 7, 3, 12 and 7? (a) 14 (b) 3 (c) 7 (d) 12
  13. 13.What is the mean of 6, 19, 18, 17, 19 and 17? (a) 16 (b) 17 (c) 15 (d) 18
  14. 14.The mean of 6 numbers is 12. When the number 33 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 14
  15. 15.What is the mode of 18, 6, 7, 9, 6, 6 and 9? (a) 7 (b) 18 (c) 6 (d) 9
  16. 16.What is the mean of 15, 6, 3, 6 and 20? (a) 12 (b) 9 (c) 10 (d) 11
  17. 17.The mean of 4 numbers is 15. When the number 30 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 15
  18. 18.What is the mode of 10, 15, 10, 3, 18, 10 and 18? (a) 10 (b) 3 (c) 18 (d) 15
  19. 19.What is the mode of 13, 8, 13, 13, 10, 15 and 10? (a) 10 (b) 15 (c) 13 (d) 8
  20. 20.What is the median of 31, 27, 40, 37 and 26? (a) 40 (b) 31 (c) 37 (d) 27
  21. 21.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 19 (b) 17 (c) 16 (d) 18
  22. 22.What is the mode of 3, 8, 15, 8, 16, 8 and 3? (a) 15 (b) 16 (c) 3 (d) 8
  23. 23.What is the median of 11, 3, 25, 21 and 34? (a) 21 (b) 22 (c) 25 (d) 11
  24. 24.What is the median of 9, 38, 19, 40 and 30? (a) 31 (b) 19 (c) 30 (d) 38
  25. 25.What is the median of 19, 1, 35, 20 and 32? (a) 35 (b) 20 (c) 32 (d) 19
  26. 26.What is the mode of 16, 16, 14, 3, 14, 4 and 16? (a) 4 (b) 16 (c) 3 (d) 14
  27. 27.What is the median of 16, 35, 27, 1 and 21? (a) 27 (b) 20 (c) 16 (d) 21
  28. 28.What is the mode of 10, 9, 9, 4, 15, 15 and 15? (a) 9 (b) 4 (c) 10 (d) 15
  29. 29.The mean of 7 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 28 (b) 38 (c) 37 (d) 40
  30. 30.What is the mode of 9, 14, 19, 9, 19, 19 and 3? (a) 19 (b) 3 (c) 9 (d) 14
  31. 31.What is the median of 16, 39, 33, 15, 24, 13 and 8? (a) 15 (b) 16 (c) 17 (d) 24
  32. 32.What is the mean of 3, 12, 13, 4, 6 and 10? (a) 9 (b) 10 (c) 7 (d) 8
  33. 33.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 11
  34. 34.What is the mean of 3, 6, 10, 20, 5 and 10? (a) 11 (b) 8 (c) 9 (d) 10
  35. 35.What is the mode of 11, 11, 18, 5, 5, 11 and 8? (a) 8 (b) 5 (c) 18 (d) 11
  36. 36.What is the mean of 11, 14, 16, 15, 16 and 24? (a) 17 (b) 18 (c) 15 (d) 16
  37. 37.What is the mean of 9, 7, 20, 16, 3 and 5? (a) 10 (b) 9 (c) 12 (d) 11
  38. 38.What is the median of 19, 3, 37, 32, 12, 21 and 1? (a) 32 (b) 12 (c) 19 (d) 21
  39. 39.What is the mean of 17, 3, 7 and 13? (a) 11 (b) 10 (c) 8 (d) 9
  40. 40.What is the mode of 19, 15, 5, 2, 15, 2 and 15? (a) 19 (b) 5 (c) 2 (d) 15

Answer key

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

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