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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 699 · 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 4, 6, 17, 16 and 17? (a) 15 (b) 10 (c) 13 (d) 12
  2. 2.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 21 (b) 19 (c) 17 (d) 20
  3. 3.What is the mode of 18, 15, 7, 11, 18, 18 and 15? (a) 11 (b) 18 (c) 7 (d) 15
  4. 4.What is the mean of 19, 3, 7, 12, 6 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  5. 5.What is the mode of 5, 13, 5, 1, 5, 13 and 7? (a) 7 (b) 5 (c) 13 (d) 1
  6. 6.What is the median of 36, 25, 29, 7, 8, 38 and 20? (a) 20 (b) 29 (c) 7 (d) 25
  7. 7.What is the mode of 4, 14, 18, 18, 20, 4 and 18? (a) 14 (b) 18 (c) 4 (d) 20
  8. 8.What is the median of 1, 34, 15, 11 and 16? (a) 15 (b) 16 (c) 14 (d) 11
  9. 9.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 26 (b) 27 (c) 29 (d) 28
  10. 10.What is the median of 16, 22, 40, 12 and 35? (a) 25 (b) 22 (c) 40 (d) 35
  11. 11.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 23 (b) 28 (c) 25 (d) 26
  12. 12.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 25
  13. 13.What is the mean of 16, 17, 4, 2, 6 and 9? (a) 9 (b) 8 (c) 11 (d) 10
  14. 14.What is the mean of 18, 19, 16 and 11? (a) 15 (b) 18 (c) 16 (d) 17
  15. 15.What is the median of 38, 20, 37, 39, 3, 40 and 29? (a) 37 (b) 39 (c) 38 (d) 29
  16. 16.What is the mean of 19, 3, 9, 9 and 10? (a) 12 (b) 11 (c) 9 (d) 10
  17. 17.What is the mode of 20, 20, 19, 8, 17, 8 and 20? (a) 8 (b) 17 (c) 19 (d) 20
  18. 18.What is the mean of 13, 19, 14, 13, 11 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  19. 19.What is the mode of 1, 4, 1, 15, 15, 15 and 2? (a) 2 (b) 15 (c) 4 (d) 1
  20. 20.What is the mean of 6, 9, 18, 10 and 7? (a) 11 (b) 9 (c) 10 (d) 12
  21. 21.What is the mode of 3, 19, 3, 14, 14, 16 and 3? (a) 19 (b) 16 (c) 14 (d) 3
  22. 22.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 39
  23. 23.What is the mean of 9, 6, 20, 8, 19 and 10? (a) 11 (b) 12 (c) 13 (d) 14
  24. 24.What is the median of 14, 2, 4, 3 and 13? (a) 3 (b) 5 (c) 4 (d) 13
  25. 25.What is the median of 5, 37, 23, 26 and 13? (a) 13 (b) 26 (c) 24 (d) 23
  26. 26.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  27. 27.What is the mean of 3, 14, 9, 9 and 5? (a) 8 (b) 10 (c) 7 (d) 9
  28. 28.What is the mean of 19, 13, 5, 16, 9 and 22? (a) 15 (b) 12 (c) 14 (d) 13
  29. 29.What is the median of 27, 39, 31, 30 and 4? (a) 30 (b) 27 (c) 29 (d) 31
  30. 30.What is the mean of 11, 8, 15, 6, 12 and 20? (a) 11 (b) 12 (c) 14 (d) 13
  31. 31.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  32. 32.What is the median of 30, 16, 33, 13, 2, 1 and 19? (a) 13 (b) 17 (c) 19 (d) 16
  33. 33.What is the median of 25, 5, 34, 8 and 7? (a) 7 (b) 25 (c) 8 (d) 34
  34. 34.What is the mode of 5, 3, 5, 6, 5, 3 and 4? (a) 5 (b) 4 (c) 3 (d) 6
  35. 35.The mean of 5 numbers is 22. When the number 16 is added to them, what is the new mean? (a) 21 (b) 19 (c) 22 (d) 20
  36. 36.What is the mean of 20, 5, 6, 6 and 3? (a) 8 (b) 7 (c) 10 (d) 9
  37. 37.What is the mean of 7, 16, 8, 11, 19 and 11? (a) 13 (b) 12 (c) 11 (d) 14
  38. 38.What is the mean of 14, 9, 18, 14, 14 and 9? (a) 12 (b) 15 (c) 13 (d) 14
  39. 39.What is the median of 35, 37, 36, 18 and 21? (a) 35 (b) 36 (c) 21 (d) 34
  40. 40.What is the mode of 18, 7, 18, 7, 1, 5 and 18? (a) 5 (b) 7 (c) 18 (d) 1

Answer key

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

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