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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 125 · 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 9, 14, 26, 35 and 38? (a) 27 (b) 35 (c) 26 (d) 14
  2. 2.What is the mode of 4, 4, 15, 1, 4, 15 and 11? (a) 4 (b) 15 (c) 1 (d) 11
  3. 3.What is the mean of 13, 11, 17, 5, 9 and 17? (a) 13 (b) 14 (c) 11 (d) 12
  4. 4.What is the mean of 19, 3, 17 and 5? (a) 12 (b) 10 (c) 11 (d) 13
  5. 5.What is the mean of 18, 15, 9, 6 and 12? (a) 12 (b) 15 (c) 13 (d) 10
  6. 6.What is the median of 21, 30, 16, 15, 7, 24 and 8? (a) 21 (b) 17 (c) 16 (d) 15
  7. 7.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 36
  8. 8.What is the mean of 12, 15, 11, 7, 3 and 18? (a) 13 (b) 11 (c) 10 (d) 12
  9. 9.What is the median of 34, 25, 27, 2 and 31? (a) 27 (b) 25 (c) 31 (d) 28
  10. 10.What is the median of 22, 21, 38, 17 and 15? (a) 21 (b) 22 (c) 38 (d) 17
  11. 11.What is the mode of 1, 1, 7, 6, 14, 6 and 1? (a) 6 (b) 1 (c) 7 (d) 14
  12. 12.What is the median of 33, 4, 36, 27, 24, 12 and 18? (a) 22 (b) 24 (c) 18 (d) 27
  13. 13.What is the median of 25, 14, 17, 13, 10, 1 and 6? (a) 14 (b) 12 (c) 10 (d) 13
  14. 14.What is the mean of 7, 5, 14, 5, 5 and 6? (a) 9 (b) 6 (c) 7 (d) 8
  15. 15.What is the mean of 2, 7, 10, 5 and 11? (a) 6 (b) 8 (c) 7 (d) 9
  16. 16.What is the mean of 9, 4, 19 and 4? (a) 10 (b) 9 (c) 8 (d) 12
  17. 17.What is the median of 4, 21, 25, 33 and 29? (a) 21 (b) 29 (c) 25 (d) 26
  18. 18.What is the mean of 15, 3, 9 and 13? (a) 11 (b) 8 (c) 9 (d) 10
  19. 19.What is the mode of 4, 4, 6, 6, 3, 4 and 8? (a) 8 (b) 4 (c) 6 (d) 3
  20. 20.What is the mean of 15, 4, 17, 9, 17 and 22? (a) 14 (b) 13 (c) 15 (d) 12
  21. 21.What is the mean of 12, 17, 18 and 13? (a) 15 (b) 20 (c) 12 (d) 16
  22. 22.The mean of 4 numbers is 30. When the number 35 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 31
  23. 23.The mean of 9 numbers is 24. When the number 64 is added to them, what is the new mean? (a) 28 (b) 44 (c) 24 (d) 29
  24. 24.What is the median of 2, 31, 34, 9 and 15? (a) 9 (b) 15 (c) 31 (d) 34
  25. 25.What is the mode of 10, 15, 20, 15, 20, 14 and 15? (a) 15 (b) 10 (c) 20 (d) 14
  26. 26.What is the mean of 3, 15, 12 and 6? (a) 12 (b) 10 (c) 8 (d) 9
  27. 27.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 36 (d) 37
  28. 28.What is the median of 40, 9, 34, 36, 16, 2 and 7? (a) 9 (b) 36 (c) 34 (d) 16
  29. 29.What is the mode of 17, 15, 17, 3, 16, 3 and 17? (a) 3 (b) 15 (c) 17 (d) 16
  30. 30.What is the mode of 10, 6, 9, 4, 4, 9 and 9? (a) 9 (b) 10 (c) 4 (d) 6
  31. 31.The mean of 3 numbers is 24. When the number 28 is added to them, what is the new mean? (a) 26 (b) 24 (c) 27 (d) 25
  32. 32.The mean of 7 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 31 (b) 32 (c) 33 (d) 35
  33. 33.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 19 (b) 20 (c) 14 (d) 21
  34. 34.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 36
  35. 35.What is the mean of 19, 2, 5, 19 and 20? (a) 15 (b) 13 (c) 12 (d) 14
  36. 36.What is the mean of 16, 16, 5, 4, 3 and 10? (a) 11 (b) 10 (c) 8 (d) 9
  37. 37.What is the mean of 6, 3, 8, 2, 12 and 17? (a) 10 (b) 9 (c) 7 (d) 8
  38. 38.What is the mean of 5, 16, 5 and 18? (a) 12 (b) 11 (c) 13 (d) 10
  39. 39.What is the mode of 4, 4, 4, 15, 20, 1 and 20? (a) 1 (b) 20 (c) 15 (d) 4
  40. 40.What is the median of 40, 4, 29, 20 and 15? (a) 15 (b) 21 (c) 20 (d) 29

Answer key

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

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