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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 838 · 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 17, 17, 19, 18 and 4? (a) 16 (b) 17 (c) 15 (d) 14
  2. 2.What is the mode of 3, 16, 16, 16, 3, 5 and 2? (a) 3 (b) 5 (c) 16 (d) 2
  3. 3.What is the median of 32, 6, 34, 16, 37, 17 and 22? (a) 32 (b) 16 (c) 17 (d) 22
  4. 4.What is the mean of 17, 13, 3, 7 and 10? (a) 12 (b) 10 (c) 9 (d) 11
  5. 5.What is the mean of 18, 13, 17, 4 and 8? (a) 12 (b) 15 (c) 13 (d) 10
  6. 6.What is the mode of 2, 2, 2, 5, 9, 9 and 7? (a) 7 (b) 2 (c) 9 (d) 5
  7. 7.What is the mean of 14, 8, 8 and 14? (a) 12 (b) 13 (c) 10 (d) 11
  8. 8.What is the median of 7, 14, 25, 18, 27, 31 and 23? (a) 18 (b) 24 (c) 25 (d) 23
  9. 9.What is the median of 4, 38, 35, 30, 39, 6 and 11? (a) 11 (b) 35 (c) 31 (d) 30
  10. 10.What is the median of 9, 18, 10, 26 and 23? (a) 10 (b) 18 (c) 23 (d) 19
  11. 11.What is the mode of 5, 18, 5, 6, 5, 4 and 6? (a) 6 (b) 18 (c) 4 (d) 5
  12. 12.What is the mode of 17, 15, 17, 5, 6, 6 and 6? (a) 15 (b) 17 (c) 6 (d) 5
  13. 13.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 14
  14. 14.What is the mean of 13, 3, 7 and 21? (a) 10 (b) 12 (c) 13 (d) 11
  15. 15.The mean of 5 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 49 (b) 40 (c) 43 (d) 44
  16. 16.What is the mean of 13, 12, 19, 20, 8 and 18? (a) 16 (b) 14 (c) 18 (d) 15
  17. 17.What is the mean of 3, 12, 14, 9 and 12? (a) 10 (b) 12 (c) 11 (d) 9
  18. 18.What is the mean of 13, 2, 19 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  19. 19.What is the mean of 15, 16, 20 and 17? (a) 17 (b) 19 (c) 18 (d) 16
  20. 20.What is the mean of 3, 10, 20, 15, 17 and 7? (a) 12 (b) 11 (c) 14 (d) 13
  21. 21.What is the median of 19, 6, 5, 25, 11, 36 and 30? (a) 11 (b) 25 (c) 20 (d) 19
  22. 22.What is the mean of 7, 13, 9, 8, 2 and 9? (a) 10 (b) 8 (c) 9 (d) 7
  23. 23.What is the median of 5, 22, 17, 14 and 19? (a) 19 (b) 14 (c) 18 (d) 17
  24. 24.What is the median of 32, 6, 24, 22 and 16? (a) 24 (b) 16 (c) 22 (d) 20
  25. 25.What is the mean of 15, 13, 2 and 14? (a) 11 (b) 10 (c) 12 (d) 13
  26. 26.The mean of 8 numbers is 33. When the number 42 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  27. 27.What is the mean of 10, 12, 4, 13, 8 and 7? (a) 8 (b) 10 (c) 11 (d) 9
  28. 28.What is the median of 19, 22, 39, 16, 1, 9 and 23? (a) 16 (b) 20 (c) 22 (d) 19
  29. 29.What is the mean of 2, 15, 2, 3, 17 and 15? (a) 11 (b) 8 (c) 10 (d) 9
  30. 30.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 33 (b) 34 (c) 37 (d) 35
  31. 31.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 19 (b) 15 (c) 16 (d) 11
  32. 32.What is the mean of 10, 14, 7, 4 and 20? (a) 13 (b) 11 (c) 10 (d) 12
  33. 33.What is the mean of 18, 7, 12, 20 and 23? (a) 16 (b) 20 (c) 17 (d) 15
  34. 34.What is the mode of 14, 15, 14, 5, 5, 11 and 14? (a) 15 (b) 14 (c) 5 (d) 11
  35. 35.What is the mean of 5, 15, 19, 11, 6 and 16? (a) 14 (b) 12 (c) 13 (d) 11
  36. 36.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 13 (b) 11 (c) 8 (d) 12
  37. 37.What is the mean of 7, 8, 6, 5, 17 and 17? (a) 10 (b) 9 (c) 11 (d) 12
  38. 38.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 34 (b) 36 (c) 33 (d) 32
  39. 39.What is the mean of 5, 18, 6 and 7? (a) 9 (b) 8 (c) 12 (d) 10
  40. 40.What is the mode of 4, 4, 8, 3, 6, 3 and 3? (a) 6 (b) 3 (c) 4 (d) 8

Answer key

  1. 15
  2. 16
  3. 22
  4. 10
  5. 12
  6. 2
  7. 11
  8. 23
  9. 30
  10. 18
  11. 5
  12. 6
  13. 15
  14. 11
  15. 43
  16. 15
  17. 10
  18. 11
  19. 17
  20. 12
  21. 19
  22. 8
  23. 17
  24. 22
  25. 11
  26. 34
  27. 9
  28. 19
  29. 9
  30. 34
  31. 15
  32. 11
  33. 16
  34. 14
  35. 12
  36. 12
  37. 10
  38. 33
  39. 9
  40. 3

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