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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 468 · 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 14, 5, 4, 4, 5, 4 and 6? (a) 4 (b) 14 (c) 5 (d) 6
  2. 2.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 10 (b) 11 (c) 12 (d) 13
  3. 3.What is the median of 38, 6, 5, 12, 3, 28 and 19? (a) 12 (b) 6 (c) 13 (d) 19
  4. 4.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 36 (b) 33 (c) 32 (d) 34
  5. 5.The mean of 6 numbers is 40. When the number 68 is added to them, what is the new mean? (a) 44 (b) 54 (c) 40 (d) 45
  6. 6.What is the median of 35, 17, 13, 31, 22, 1 and 8? (a) 13 (b) 22 (c) 17 (d) 31
  7. 7.What is the median of 27, 36, 14, 5 and 24? (a) 14 (b) 25 (c) 24 (d) 27
  8. 8.What is the mode of 3, 8, 17, 17, 13, 13 and 17? (a) 17 (b) 13 (c) 8 (d) 3
  9. 9.What is the median of 23, 28, 13, 11 and 19? (a) 13 (b) 23 (c) 20 (d) 19
  10. 10.What is the mean of 10, 9, 13 and 8? (a) 11 (b) 10 (c) 9 (d) 8
  11. 11.The mean of 3 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 39 (b) 36 (c) 42 (d) 40
  12. 12.What is the mean of 9, 2, 4, 19, 17 and 9? (a) 9 (b) 11 (c) 12 (d) 10
  13. 13.What is the mode of 3, 6, 9, 17, 9, 6 and 6? (a) 6 (b) 17 (c) 9 (d) 3
  14. 14.What is the mode of 11, 10, 10, 11, 13, 10 and 17? (a) 17 (b) 13 (c) 11 (d) 10
  15. 15.What is the mean of 6, 8, 11, 8 and 12? (a) 9 (b) 8 (c) 10 (d) 11
  16. 16.What is the mode of 20, 5, 5, 20, 17, 11 and 5? (a) 17 (b) 11 (c) 20 (d) 5
  17. 17.The mean of 6 numbers is 30. When the number 58 is added to them, what is the new mean? (a) 34 (b) 44 (c) 30 (d) 35
  18. 18.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 29 (b) 18 (c) 13 (d) 17
  19. 19.What is the mean of 7, 18, 19, 6 and 20? (a) 13 (b) 15 (c) 14 (d) 16
  20. 20.What is the mean of 18, 13, 19, 5, 3 and 14? (a) 13 (b) 14 (c) 12 (d) 11
  21. 21.What is the median of 5, 7, 22, 34, 24, 11 and 20? (a) 34 (b) 22 (c) 20 (d) 11
  22. 22.The mean of 9 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 12 (b) 7 (c) 11 (d) 10
  23. 23.What is the mean of 6, 9, 12 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  24. 24.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 14
  25. 25.What is the median of 40, 14, 8, 11, 10, 36 and 1? (a) 14 (b) 11 (c) 10 (d) 12
  26. 26.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 16
  27. 27.What is the mode of 5, 11, 6, 2, 2, 2 and 11? (a) 5 (b) 2 (c) 6 (d) 11
  28. 28.What is the mean of 4, 14, 5 and 13? (a) 10 (b) 8 (c) 12 (d) 9
  29. 29.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 28 (b) 40 (c) 24 (d) 29
  30. 30.What is the mode of 9, 14, 14, 16, 19, 9 and 14? (a) 14 (b) 19 (c) 16 (d) 9
  31. 31.What is the mode of 13, 3, 7, 4, 3, 13 and 13? (a) 7 (b) 4 (c) 3 (d) 13
  32. 32.What is the median of 19, 3, 5, 36 and 15? (a) 19 (b) 5 (c) 15 (d) 16
  33. 33.What is the median of 4, 8, 21, 38 and 29? (a) 20 (b) 29 (c) 8 (d) 21
  34. 34.What is the median of 25, 3, 2, 32, 15, 34 and 22? (a) 19 (b) 32 (c) 25 (d) 22
  35. 35.What is the mean of 17, 4, 17 and 6? (a) 13 (b) 11 (c) 10 (d) 12
  36. 36.What is the median of 10, 27, 21, 1 and 35? (a) 22 (b) 21 (c) 10 (d) 27
  37. 37.The mean of 3 numbers is 15. When the number 19 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  38. 38.What is the median of 23, 28, 25, 2 and 8? (a) 23 (b) 24 (c) 8 (d) 25
  39. 39.What is the mean of 9, 3, 16, 12 and 20? (a) 10 (b) 12 (c) 13 (d) 15
  40. 40.What is the median of 30, 18, 33, 11 and 2? (a) 30 (b) 33 (c) 18 (d) 11

Answer key

  1. 4
  2. 11
  3. 12
  4. 33
  5. 44
  6. 17
  7. 24
  8. 17
  9. 19
  10. 10
  11. 39
  12. 10
  13. 6
  14. 10
  15. 9
  16. 5
  17. 34
  18. 17
  19. 14
  20. 12
  21. 20
  22. 11
  23. 10
  24. 17
  25. 11
  26. 14
  27. 2
  28. 9
  29. 28
  30. 14
  31. 13
  32. 15
  33. 21
  34. 22
  35. 11
  36. 21
  37. 16
  38. 23
  39. 12
  40. 18

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