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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 740 · 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, 17, 1, 4, 5, 17 and 17? (a) 4 (b) 1 (c) 5 (d) 17
  2. 2.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 35
  3. 3.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 41 (b) 40 (c) 47 (d) 38
  4. 4.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 22
  5. 5.What is the mean of 11, 12, 14, 20 and 8? (a) 14 (b) 15 (c) 13 (d) 12
  6. 6.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 15 (b) 21 (c) 12 (d) 16
  7. 7.What is the median of 6, 14, 4, 8, 7, 36 and 31? (a) 7 (b) 14 (c) 8 (d) 9
  8. 8.What is the mean of 2, 19, 17, 20, 18 and 20? (a) 16 (b) 18 (c) 15 (d) 17
  9. 9.What is the mode of 17, 18, 18, 17, 4, 17 and 7? (a) 18 (b) 7 (c) 17 (d) 4
  10. 10.What is the mode of 17, 17, 3, 17, 18, 20 and 18? (a) 17 (b) 3 (c) 20 (d) 18
  11. 11.What is the mean of 6, 15, 3 and 4? (a) 9 (b) 7 (c) 8 (d) 6
  12. 12.What is the mean of 4, 3, 3, 14 and 11? (a) 9 (b) 6 (c) 7 (d) 8
  13. 13.What is the mean of 9, 8, 15, 4 and 14? (a) 11 (b) 9 (c) 10 (d) 12
  14. 14.What is the mode of 14, 1, 6, 14, 10, 6 and 14? (a) 6 (b) 14 (c) 10 (d) 1
  15. 15.What is the mean of 10, 10, 7, 8 and 5? (a) 7 (b) 9 (c) 10 (d) 8
  16. 16.What is the median of 20, 40, 5, 29 and 26? (a) 26 (b) 5 (c) 29 (d) 24
  17. 17.What is the mean of 18, 20, 9, 16 and 17? (a) 17 (b) 20 (c) 15 (d) 16
  18. 18.What is the median of 12, 26, 1, 31 and 13? (a) 1 (b) 12 (c) 26 (d) 13
  19. 19.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 23 (b) 28 (c) 19 (d) 22
  20. 20.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 15 (b) 20 (c) 13 (d) 16
  21. 21.What is the mean of 20, 12, 16, 9 and 8? (a) 13 (b) 15 (c) 14 (d) 12
  22. 22.What is the median of 27, 40, 5, 29, 10, 38 and 37? (a) 29 (b) 37 (c) 27 (d) 30
  23. 23.What is the mode of 2, 3, 3, 1, 10, 1 and 1? (a) 2 (b) 1 (c) 3 (d) 10
  24. 24.What is the mean of 3, 5, 3 and 5? (a) 3 (b) 5 (c) 6 (d) 4
  25. 25.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 17 (b) 11 (c) 16 (d) 18
  26. 26.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 14 (b) 15 (c) 17 (d) 16
  27. 27.What is the median of 33, 28, 36, 17, 21, 27 and 10? (a) 17 (b) 21 (c) 27 (d) 28
  28. 28.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 19
  29. 29.What is the median of 33, 31, 18, 5 and 28? (a) 28 (b) 31 (c) 18 (d) 23
  30. 30.What is the mean of 6, 5, 19, 13, 9 and 14? (a) 12 (b) 13 (c) 10 (d) 11
  31. 31.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 13 (b) 12 (c) 10 (d) 11
  32. 32.What is the median of 29, 16, 27, 33 and 7? (a) 16 (b) 28 (c) 27 (d) 29
  33. 33.What is the mean of 15, 7, 7, 15 and 21? (a) 13 (b) 15 (c) 12 (d) 14
  34. 34.What is the median of 32, 7, 37, 21 and 13? (a) 32 (b) 21 (c) 22 (d) 37
  35. 35.What is the mode of 20, 6, 2, 20, 2, 7 and 20? (a) 7 (b) 2 (c) 6 (d) 20
  36. 36.What is the median of 9, 22, 35, 40, 10, 15 and 29? (a) 22 (b) 29 (c) 15 (d) 40
  37. 37.What is the median of 20, 30, 11, 38, 15, 4 and 23? (a) 20 (b) 15 (c) 23 (d) 38
  38. 38.What is the mean of 20, 4, 17, 19 and 20? (a) 20 (b) 16 (c) 15 (d) 17
  39. 39.What is the mode of 10, 3, 8, 10, 10, 8 and 5? (a) 5 (b) 8 (c) 3 (d) 10
  40. 40.What is the median of 33, 18, 15, 21 and 29? (a) 29 (b) 15 (c) 21 (d) 18

Answer key

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

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