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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 372 · 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 13, 6, 11, 4, 8 and 12? (a) 10 (b) 9 (c) 8 (d) 11
  2. 2.What is the median of 9, 19, 37, 8, 31, 15 and 34? (a) 31 (b) 19 (c) 8 (d) 15
  3. 3.What is the mode of 18, 3, 5, 18, 3, 7 and 18? (a) 18 (b) 3 (c) 7 (d) 5
  4. 4.What is the median of 6, 5, 30, 19, 2, 13 and 25? (a) 14 (b) 6 (c) 13 (d) 19
  5. 5.The mean of 5 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 36 (b) 40 (c) 37 (d) 34
  6. 6.What is the mean of 4, 6, 12 and 18? (a) 11 (b) 8 (c) 10 (d) 9
  7. 7.What is the mean of 20, 15, 6 and 19? (a) 16 (b) 12 (c) 15 (d) 20
  8. 8.The mean of 7 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 38 (b) 30 (c) 29 (d) 26
  9. 9.What is the median of 40, 18, 21, 14, 36, 22 and 3? (a) 21 (b) 18 (c) 22 (d) 14
  10. 10.What is the median of 38, 35, 1, 32 and 12? (a) 35 (b) 32 (c) 12 (d) 1
  11. 11.What is the median of 6, 16, 38, 39, 24, 12 and 30? (a) 39 (b) 16 (c) 30 (d) 24
  12. 12.What is the mode of 16, 20, 16, 16, 11, 9 and 11? (a) 20 (b) 9 (c) 16 (d) 11
  13. 13.What is the median of 1, 38, 35, 39 and 28? (a) 35 (b) 38 (c) 36 (d) 28
  14. 14.The mean of 3 numbers is 29. When the number 25 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 30
  15. 15.What is the mean of 5, 13, 7 and 15? (a) 9 (b) 8 (c) 10 (d) 11
  16. 16.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 16
  17. 17.What is the median of 26, 10, 17, 33, 9, 1 and 20? (a) 33 (b) 10 (c) 20 (d) 17
  18. 18.What is the mean of 20, 19, 19, 3 and 24? (a) 19 (b) 16 (c) 18 (d) 17
  19. 19.What is the mode of 6, 17, 6, 10, 17, 6 and 2? (a) 17 (b) 2 (c) 10 (d) 6
  20. 20.What is the median of 5, 6, 27, 9, 8, 37 and 2? (a) 9 (b) 8 (c) 7 (d) 6
  21. 21.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 36 (b) 40 (c) 22 (d) 37
  22. 22.What is the mode of 1, 10, 1, 4, 15, 10 and 10? (a) 4 (b) 15 (c) 10 (d) 1
  23. 23.What is the mean of 4, 19, 19 and 14? (a) 16 (b) 13 (c) 14 (d) 15
  24. 24.The mean of 3 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 30 (b) 33 (c) 36 (d) 34
  25. 25.What is the median of 23, 21, 16, 29 and 36? (a) 23 (b) 16 (c) 25 (d) 29
  26. 26.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 17 (b) 25 (c) 21 (d) 22
  27. 27.What is the mean of 7, 3, 12 and 18? (a) 8 (b) 10 (c) 9 (d) 11
  28. 28.What is the mode of 10, 10, 5, 10, 1, 5 and 20? (a) 5 (b) 10 (c) 1 (d) 20
  29. 29.The mean of 4 numbers is 35. When the number 20 is added to them, what is the new mean? (a) 32 (b) 31 (c) 35 (d) 33
  30. 30.What is the mean of 20, 10, 20, 7 and 13? (a) 15 (b) 16 (c) 13 (d) 14
  31. 31.What is the mode of 20, 14, 19, 14, 14, 5 and 19? (a) 20 (b) 14 (c) 5 (d) 19
  32. 32.What is the median of 22, 28, 11, 8, 23, 39 and 24? (a) 8 (b) 22 (c) 23 (d) 24
  33. 33.What is the median of 27, 4, 17, 1, 36, 33 and 7? (a) 1 (b) 17 (c) 27 (d) 7
  34. 34.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 18
  35. 35.What is the mean of 5, 18, 3 and 10? (a) 12 (b) 10 (c) 8 (d) 9
  36. 36.What is the mode of 2, 15, 3, 10, 3, 15 and 15? (a) 10 (b) 3 (c) 2 (d) 15
  37. 37.What is the mean of 4, 13, 16, 9 and 13? (a) 13 (b) 10 (c) 12 (d) 11
  38. 38.What is the mean of 11, 7, 3, 8, 4 and 21? (a) 11 (b) 8 (c) 10 (d) 9
  39. 39.What is the mode of 2, 10, 1, 1, 2, 1 and 14? (a) 1 (b) 10 (c) 2 (d) 14
  40. 40.The mean of 8 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 31

Answer key

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

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