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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 291 · 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 19, 5, 19, 5, 8, 1 and 5? (a) 19 (b) 1 (c) 5 (d) 8
  2. 2.What is the median of 11, 21, 40, 31, 38, 30 and 7? (a) 21 (b) 29 (c) 31 (d) 30
  3. 3.What is the mean of 12, 17, 7, 10 and 14? (a) 15 (b) 10 (c) 12 (d) 13
  4. 4.What is the mean of 18, 10, 15 and 13? (a) 16 (b) 14 (c) 15 (d) 13
  5. 5.The mean of 9 numbers is 32. When the number 72 is added to them, what is the new mean? (a) 32 (b) 37 (c) 52 (d) 36
  6. 6.What is the mode of 4, 2, 2, 4, 10, 11 and 2? (a) 4 (b) 10 (c) 11 (d) 2
  7. 7.What is the mean of 20, 6, 10 and 20? (a) 16 (b) 15 (c) 13 (d) 14
  8. 8.What is the mean of 9, 9, 15, 8 and 9? (a) 11 (b) 9 (c) 10 (d) 12
  9. 9.What is the mean of 9, 12, 19, 7, 20 and 5? (a) 13 (b) 14 (c) 11 (d) 12
  10. 10.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 15
  11. 11.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 20 (b) 11 (c) 19 (d) 18
  12. 12.What is the mode of 14, 14, 2, 19, 2, 2 and 7? (a) 2 (b) 19 (c) 7 (d) 14
  13. 13.What is the median of 13, 16, 3, 34, 31, 12 and 33? (a) 16 (b) 31 (c) 13 (d) 34
  14. 14.What is the mean of 7, 17, 16, 9 and 11? (a) 10 (b) 15 (c) 13 (d) 12
  15. 15.What is the median of 12, 11, 34, 33 and 40? (a) 34 (b) 12 (c) 26 (d) 33
  16. 16.What is the mean of 4, 17, 15, 9, 2 and 13? (a) 12 (b) 11 (c) 10 (d) 9
  17. 17.What is the mode of 15, 10, 5, 5, 5, 14 and 14? (a) 15 (b) 10 (c) 14 (d) 5
  18. 18.What is the median of 10, 25, 38, 39, 3, 22 and 17? (a) 17 (b) 22 (c) 39 (d) 25
  19. 19.What is the mean of 14, 13, 9 and 16? (a) 14 (b) 15 (c) 13 (d) 12
  20. 20.What is the mean of 6, 7, 19, 20 and 8? (a) 13 (b) 10 (c) 12 (d) 15
  21. 21.What is the median of 7, 13, 1, 17 and 12? (a) 1 (b) 10 (c) 12 (d) 13
  22. 22.What is the mode of 4, 12, 12, 4, 5, 12 and 7? (a) 7 (b) 4 (c) 12 (d) 5
  23. 23.What is the median of 21, 35, 12, 27, 7, 3 and 24? (a) 21 (b) 24 (c) 12 (d) 27
  24. 24.What is the mean of 20, 14, 17 and 13? (a) 18 (b) 16 (c) 17 (d) 15
  25. 25.What is the mean of 19, 6, 17 and 10? (a) 13 (b) 14 (c) 15 (d) 12
  26. 26.What is the median of 5, 25, 3, 39, 7, 40 and 6? (a) 39 (b) 7 (c) 25 (d) 6
  27. 27.The mean of 6 numbers is 16. When the number 37 is added to them, what is the new mean? (a) 16 (b) 20 (c) 18 (d) 19
  28. 28.What is the mean of 10, 5, 18, 19 and 18? (a) 13 (b) 15 (c) 16 (d) 14
  29. 29.What is the mode of 11, 11, 14, 11, 20, 5 and 20? (a) 14 (b) 5 (c) 11 (d) 20
  30. 30.What is the mean of 18, 10, 5 and 15? (a) 12 (b) 11 (c) 13 (d) 16
  31. 31.What is the mean of 14, 16, 9, 8 and 23? (a) 15 (b) 13 (c) 14 (d) 16
  32. 32.What is the mode of 19, 19, 19, 11, 6, 6 and 17? (a) 11 (b) 6 (c) 19 (d) 17
  33. 33.The mean of 8 numbers is 35. When the number 71 is added to them, what is the new mean? (a) 40 (b) 35 (c) 53 (d) 39
  34. 34.What is the median of 5, 7, 21, 10 and 20? (a) 21 (b) 20 (c) 10 (d) 7
  35. 35.What is the median of 22, 23, 2, 17, 1, 19 and 21? (a) 19 (b) 21 (c) 15 (d) 17
  36. 36.What is the mean of 19, 14, 10, 14 and 8? (a) 14 (b) 15 (c) 12 (d) 13
  37. 37.What is the mean of 8, 15, 17 and 4? (a) 12 (b) 10 (c) 11 (d) 13
  38. 38.What is the mean of 3, 19, 19 and 19? (a) 15 (b) 20 (c) 16 (d) 12
  39. 39.What is the mode of 11, 1, 1, 11, 1, 7 and 18? (a) 1 (b) 7 (c) 18 (d) 11
  40. 40.What is the mode of 12, 5, 17, 10, 17, 17 and 10? (a) 10 (b) 12 (c) 17 (d) 5

Answer key

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

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