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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 582 · 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 11, 30, 32, 24, 36, 4 and 20? (a) 30 (b) 20 (c) 24 (d) 25
  2. 2.What is the mode of 14, 19, 17, 19, 16, 16 and 19? (a) 16 (b) 14 (c) 19 (d) 17
  3. 3.What is the median of 25, 6, 39, 18 and 10? (a) 18 (b) 25 (c) 10 (d) 39
  4. 4.What is the median of 19, 7, 22, 32 and 16? (a) 22 (b) 20 (c) 16 (d) 19
  5. 5.What is the mean of 19, 11, 7 and 3? (a) 9 (b) 11 (c) 8 (d) 10
  6. 6.What is the mean of 4, 8, 2, 3 and 13? (a) 5 (b) 7 (c) 8 (d) 6
  7. 7.What is the mode of 20, 20, 9, 11, 6, 11 and 11? (a) 6 (b) 11 (c) 9 (d) 20
  8. 8.What is the median of 10, 7, 3, 21, 40, 34 and 12? (a) 12 (b) 21 (c) 13 (d) 10
  9. 9.What is the mode of 6, 6, 5, 2, 18, 6 and 2? (a) 6 (b) 2 (c) 18 (d) 5
  10. 10.The mean of 6 numbers is 24. When the number 10 is added to them, what is the new mean? (a) 24 (b) 17 (c) 23 (d) 22
  11. 11.What is the median of 15, 36, 2, 16 and 1? (a) 14 (b) 15 (c) 16 (d) 2
  12. 12.The mean of 8 numbers is 26. When the number 44 is added to them, what is the new mean? (a) 26 (b) 28 (c) 35 (d) 29
  13. 13.What is the median of 7, 20, 26, 15, 3, 40 and 38? (a) 26 (b) 15 (c) 21 (d) 20
  14. 14.What is the mode of 20, 4, 20, 4, 1, 4 and 6? (a) 1 (b) 4 (c) 6 (d) 20
  15. 15.What is the mode of 18, 9, 3, 9, 18, 9 and 15? (a) 15 (b) 18 (c) 9 (d) 3
  16. 16.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 18 (b) 34 (c) 30 (d) 31
  17. 17.What is the median of 13, 16, 5, 31 and 11? (a) 11 (b) 16 (c) 13 (d) 5
  18. 18.What is the mode of 5, 5, 2, 1, 4, 2 and 5? (a) 5 (b) 4 (c) 2 (d) 1
  19. 19.What is the mode of 8, 19, 19, 8, 18, 11 and 19? (a) 8 (b) 19 (c) 11 (d) 18
  20. 20.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 11 (b) 14 (c) 13 (d) 12
  21. 21.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 18 (c) 13 (d) 16
  22. 22.What is the mean of 3, 17, 20 and 20? (a) 15 (b) 20 (c) 12 (d) 16
  23. 23.What is the median of 30, 27, 5, 13 and 17? (a) 13 (b) 27 (c) 17 (d) 5
  24. 24.The mean of 9 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 16 (b) 12 (c) 13 (d) 11
  25. 25.What is the median of 2, 7, 39, 29 and 21? (a) 29 (b) 39 (c) 7 (d) 21
  26. 26.What is the mode of 6, 10, 4, 6, 13, 4 and 6? (a) 13 (b) 4 (c) 6 (d) 10
  27. 27.What is the mean of 4, 19, 6, 15 and 6? (a) 11 (b) 9 (c) 12 (d) 10
  28. 28.What is the median of 22, 5, 4, 1 and 8? (a) 8 (b) 5 (c) 4 (d) 6
  29. 29.What is the median of 1, 10, 26, 40, 29, 3 and 33? (a) 29 (b) 26 (c) 40 (d) 10
  30. 30.What is the mode of 17, 18, 20, 18, 18, 2 and 20? (a) 18 (b) 17 (c) 2 (d) 20
  31. 31.What is the median of 27, 7, 26, 21 and 30? (a) 25 (b) 21 (c) 26 (d) 27
  32. 32.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 19 (b) 18 (c) 21 (d) 20
  33. 33.What is the median of 12, 26, 34, 31, 16, 6 and 18? (a) 16 (b) 31 (c) 18 (d) 26
  34. 34.What is the median of 5, 12, 3, 22 and 8? (a) 12 (b) 10 (c) 8 (d) 3
  35. 35.What is the mean of 9, 18, 7, 5 and 11? (a) 9 (b) 10 (c) 11 (d) 12
  36. 36.What is the mode of 13, 13, 5, 5, 13, 20 and 8? (a) 8 (b) 20 (c) 13 (d) 5
  37. 37.What is the mean of 2, 11, 18 and 13? (a) 13 (b) 12 (c) 11 (d) 10
  38. 38.The mean of 6 numbers is 39. When the number 18 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 39
  39. 39.What is the mean of 8, 17, 4, 18, 5 and 8? (a) 11 (b) 12 (c) 9 (d) 10
  40. 40.What is the mean of 12, 2, 3 and 11? (a) 8 (b) 7 (c) 9 (d) 6

Answer key

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

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