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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 203 · 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 3, 19, 20 and 6? (a) 13 (b) 12 (c) 11 (d) 16
  2. 2.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 10
  3. 3.What is the mean of 11, 4, 9, 8 and 8? (a) 7 (b) 9 (c) 8 (d) 10
  4. 4.The mean of 9 numbers is 16. When the number 46 is added to them, what is the new mean? (a) 16 (b) 20 (c) 19 (d) 31
  5. 5.What is the mode of 1, 17, 17, 12, 17, 12 and 5? (a) 1 (b) 17 (c) 12 (d) 5
  6. 6.What is the mode of 20, 20, 8, 15, 2, 20 and 2? (a) 8 (b) 15 (c) 20 (d) 2
  7. 7.What is the mean of 2, 19, 15 and 12? (a) 16 (b) 11 (c) 12 (d) 13
  8. 8.What is the median of 3, 1, 23, 9, 27, 13 and 22? (a) 14 (b) 9 (c) 22 (d) 13
  9. 9.What is the mean of 3, 19, 17, 8 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  10. 10.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 39 (b) 30 (c) 37 (d) 36
  11. 11.What is the mode of 13, 6, 6, 5, 1, 13 and 13? (a) 5 (b) 13 (c) 6 (d) 1
  12. 12.What is the median of 15, 31, 2, 22, 14, 36 and 12? (a) 14 (b) 15 (c) 16 (d) 22
  13. 13.What is the mode of 2, 15, 2, 3, 18, 18 and 18? (a) 15 (b) 3 (c) 18 (d) 2
  14. 14.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 34 (b) 39 (c) 44 (d) 38
  15. 15.What is the median of 9, 4, 17, 5, 8, 37 and 20? (a) 8 (b) 17 (c) 5 (d) 9
  16. 16.What is the median of 17, 40, 32, 8 and 27? (a) 17 (b) 27 (c) 32 (d) 28
  17. 17.What is the mean of 3, 16, 15 and 6? (a) 8 (b) 9 (c) 11 (d) 10
  18. 18.What is the mode of 16, 4, 1, 6, 1, 16 and 16? (a) 16 (b) 4 (c) 6 (d) 1
  19. 19.What is the mean of 13, 19, 7, 19, 19 and 7? (a) 14 (b) 15 (c) 13 (d) 12
  20. 20.What is the mean of 5, 13, 18, 2, 7 and 15? (a) 11 (b) 12 (c) 10 (d) 9
  21. 21.What is the mean of 20, 2, 8, 4, 4 and 10? (a) 7 (b) 10 (c) 8 (d) 9
  22. 22.What is the mean of 19, 17, 9 and 7? (a) 14 (b) 12 (c) 13 (d) 15
  23. 23.What is the mean of 4, 20, 3, 8 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  24. 24.What is the mean of 6, 12, 8, 3 and 21? (a) 12 (b) 10 (c) 9 (d) 11
  25. 25.What is the mean of 11, 17, 5 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  26. 26.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 13
  27. 27.What is the median of 18, 38, 5, 31 and 28? (a) 24 (b) 31 (c) 5 (d) 28
  28. 28.What is the mean of 14, 20, 6 and 4? (a) 12 (b) 10 (c) 11 (d) 13
  29. 29.What is the mean of 18, 19, 7, 11 and 10? (a) 13 (b) 14 (c) 15 (d) 12
  30. 30.The mean of 5 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 26 (b) 17 (c) 23 (d) 24
  31. 31.What is the mode of 12, 19, 20, 1, 1, 20 and 1? (a) 20 (b) 19 (c) 1 (d) 12
  32. 32.What is the mode of 15, 18, 15, 11, 9, 9 and 9? (a) 15 (b) 18 (c) 11 (d) 9
  33. 33.What is the mode of 18, 4, 8, 4, 8, 8 and 9? (a) 9 (b) 8 (c) 4 (d) 18
  34. 34.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 29 (b) 25 (c) 30 (d) 39
  35. 35.What is the mode of 11, 14, 6, 6, 20, 11 and 6? (a) 14 (b) 20 (c) 11 (d) 6
  36. 36.What is the mode of 9, 10, 15, 10, 18, 15 and 15? (a) 9 (b) 15 (c) 18 (d) 10
  37. 37.What is the median of 38, 9, 39, 17 and 2? (a) 39 (b) 17 (c) 21 (d) 38
  38. 38.What is the mode of 17, 18, 17, 17, 4, 4 and 10? (a) 10 (b) 17 (c) 4 (d) 18
  39. 39.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 24 (b) 26 (c) 25 (d) 21
  40. 40.What is the median of 24, 1, 20, 35, 9, 33 and 23? (a) 24 (b) 20 (c) 35 (d) 23

Answer key

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

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