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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 79 · 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 12, 19, 2, 6 and 11? (a) 10 (b) 12 (c) 9 (d) 11
  2. 2.What is the mean of 6, 2, 4, 8 and 20? (a) 9 (b) 10 (c) 8 (d) 7
  3. 3.The mean of 4 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 24 (b) 25 (c) 21 (d) 26
  4. 4.What is the median of 19, 29, 24, 13, 9, 40 and 1? (a) 13 (b) 24 (c) 20 (d) 19
  5. 5.The mean of 6 numbers is 40. When the number 19 is added to them, what is the new mean? (a) 36 (b) 38 (c) 37 (d) 40
  6. 6.What is the mode of 17, 17, 17, 15, 12, 1 and 1? (a) 12 (b) 1 (c) 15 (d) 17
  7. 7.What is the median of 5, 39, 40, 15 and 35? (a) 15 (b) 35 (c) 40 (d) 39
  8. 8.What is the mode of 20, 3, 9, 9, 17, 17 and 17? (a) 3 (b) 20 (c) 17 (d) 9
  9. 9.What is the mode of 18, 6, 18, 17, 6, 18 and 4? (a) 18 (b) 17 (c) 4 (d) 6
  10. 10.What is the median of 7, 8, 10, 40 and 27? (a) 27 (b) 11 (c) 8 (d) 10
  11. 11.What is the mean of 4, 20, 8, 13 and 20? (a) 12 (b) 14 (c) 13 (d) 15
  12. 12.What is the mean of 20, 4, 11, 6, 8 and 11? (a) 10 (b) 11 (c) 9 (d) 12
  13. 13.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 40 (b) 33 (c) 38 (d) 39
  14. 14.What is the mean of 10, 19, 10 and 21? (a) 12 (b) 16 (c) 20 (d) 15
  15. 15.The mean of 9 numbers is 30. When the number 70 is added to them, what is the new mean? (a) 50 (b) 34 (c) 30 (d) 35
  16. 16.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 39 (b) 24 (c) 27 (d) 28
  17. 17.What is the median of 13, 30, 23, 3 and 9? (a) 14 (b) 23 (c) 13 (d) 9
  18. 18.What is the mean of 2, 3, 20, 8, 10 and 5? (a) 8 (b) 10 (c) 7 (d) 9
  19. 19.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 26 (b) 22 (c) 24 (d) 23
  20. 20.What is the mode of 2, 12, 5, 2, 15, 12 and 2? (a) 2 (b) 5 (c) 15 (d) 12
  21. 21.What is the median of 24, 4, 12, 21, 35, 14 and 2? (a) 21 (b) 16 (c) 12 (d) 14
  22. 22.What is the median of 30, 2, 3, 22, 21, 1 and 14? (a) 21 (b) 14 (c) 3 (d) 22
  23. 23.What is the mode of 13, 5, 13, 11, 5, 20 and 13? (a) 20 (b) 11 (c) 13 (d) 5
  24. 24.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 25
  25. 25.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 28
  26. 26.The mean of 3 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 37 (b) 35 (c) 39 (d) 38
  27. 27.What is the median of 25, 20, 27, 32, 10, 24 and 2? (a) 24 (b) 25 (c) 20 (d) 32
  28. 28.What is the mean of 15, 12, 3, 6, 10 and 8? (a) 8 (b) 9 (c) 11 (d) 10
  29. 29.What is the median of 36, 39, 14, 40, 29, 7 and 2? (a) 29 (b) 14 (c) 36 (d) 40
  30. 30.What is the mean of 15, 4, 15 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  31. 31.What is the mode of 8, 8, 5, 5, 19, 9 and 5? (a) 8 (b) 19 (c) 5 (d) 9
  32. 32.What is the median of 23, 33, 10, 37, 7, 40 and 27? (a) 27 (b) 37 (c) 33 (d) 23
  33. 33.What is the mode of 3, 12, 16, 12, 3, 4 and 3? (a) 12 (b) 16 (c) 4 (d) 3
  34. 34.What is the mode of 3, 16, 4, 1, 4, 4 and 3? (a) 4 (b) 16 (c) 3 (d) 1
  35. 35.What is the median of 29, 26, 18, 31, 13, 19 and 25? (a) 25 (b) 26 (c) 31 (d) 23
  36. 36.What is the mean of 9, 5, 16 and 18? (a) 13 (b) 12 (c) 11 (d) 16
  37. 37.What is the mode of 7, 2, 10, 17, 7, 17 and 7? (a) 17 (b) 10 (c) 7 (d) 2
  38. 38.What is the mean of 17, 7, 10, 4 and 12? (a) 12 (b) 9 (c) 10 (d) 11
  39. 39.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 16 (b) 18 (c) 14 (d) 17
  40. 40.What is the mode of 2, 2, 8, 18, 6, 6 and 2? (a) 8 (b) 18 (c) 2 (d) 6

Answer key

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

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