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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 373 · 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.The mean of 8 numbers is 28. When the number 64 is added to them, what is the new mean? (a) 46 (b) 32 (c) 28 (d) 33
  2. 2.What is the mean of 16, 11, 12 and 13? (a) 14 (b) 15 (c) 12 (d) 13
  3. 3.What is the median of 26, 31, 12, 24, 9, 3 and 15? (a) 12 (b) 16 (c) 15 (d) 24
  4. 4.What is the mean of 14, 19, 10, 16, 7 and 12? (a) 14 (b) 15 (c) 12 (d) 13
  5. 5.What is the median of 11, 22, 3, 28 and 19? (a) 19 (b) 11 (c) 22 (d) 3
  6. 6.What is the mode of 10, 10, 15, 9, 9, 1 and 10? (a) 1 (b) 9 (c) 10 (d) 15
  7. 7.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  8. 8.What is the median of 24, 2, 4, 6 and 17? (a) 7 (b) 6 (c) 4 (d) 17
  9. 9.What is the mean of 6, 19, 20, 12 and 8? (a) 15 (b) 12 (c) 14 (d) 13
  10. 10.What is the mode of 16, 11, 14, 11, 16, 16 and 20? (a) 20 (b) 11 (c) 14 (d) 16
  11. 11.What is the median of 8, 6, 5, 12 and 21? (a) 5 (b) 12 (c) 6 (d) 8
  12. 12.What is the mean of 4, 19, 5, 12, 19 and 19? (a) 14 (b) 13 (c) 12 (d) 15
  13. 13.What is the median of 37, 26, 35, 4 and 39? (a) 26 (b) 35 (c) 37 (d) 36
  14. 14.What is the mean of 11, 7, 7, 13, 13 and 3? (a) 11 (b) 10 (c) 9 (d) 8
  15. 15.What is the mean of 10, 13, 7 and 18? (a) 13 (b) 16 (c) 11 (d) 12
  16. 16.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 30 (b) 35 (c) 31 (d) 28
  17. 17.What is the mode of 12, 12, 1, 13, 11, 1 and 12? (a) 13 (b) 1 (c) 12 (d) 11
  18. 18.What is the median of 33, 34, 32, 39 and 17? (a) 32 (b) 31 (c) 34 (d) 33
  19. 19.What is the mode of 20, 20, 7, 19, 6, 7 and 20? (a) 20 (b) 19 (c) 6 (d) 7
  20. 20.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 43 (b) 40 (c) 42 (d) 44
  21. 21.The mean of 9 numbers is 39. When the number 69 is added to them, what is the new mean? (a) 54 (b) 42 (c) 39 (d) 43
  22. 22.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 32
  23. 23.What is the mean of 7, 9, 3, 18 and 13? (a) 11 (b) 12 (c) 10 (d) 9
  24. 24.The mean of 4 numbers is 37. When the number 22 is added to them, what is the new mean? (a) 37 (b) 33 (c) 35 (d) 34
  25. 25.What is the median of 3, 37, 39, 6 and 9? (a) 37 (b) 9 (c) 6 (d) 39
  26. 26.What is the mean of 18, 13, 17, 7 and 5? (a) 10 (b) 15 (c) 12 (d) 13
  27. 27.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 14 (b) 11 (c) 12 (d) 13
  28. 28.What is the mode of 20, 11, 11, 10, 14, 11 and 10? (a) 14 (b) 11 (c) 10 (d) 20
  29. 29.The mean of 7 numbers is 38. When the number 70 is added to them, what is the new mean? (a) 43 (b) 42 (c) 38 (d) 54
  30. 30.What is the mode of 8, 12, 12, 3, 20, 8 and 8? (a) 20 (b) 8 (c) 12 (d) 3
  31. 31.What is the mode of 7, 7, 7, 19, 12, 12 and 16? (a) 7 (b) 19 (c) 12 (d) 16
  32. 32.What is the mode of 5, 5, 18, 15, 1, 5 and 18? (a) 15 (b) 1 (c) 18 (d) 5
  33. 33.The mean of 5 numbers is 30. When the number 24 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 29
  34. 34.What is the mean of 3, 6, 19 and 20? (a) 11 (b) 12 (c) 13 (d) 16
  35. 35.What is the mean of 15, 6, 10, 14, 2 and 13? (a) 11 (b) 12 (c) 9 (d) 10
  36. 36.What is the median of 31, 11, 35, 7 and 5? (a) 11 (b) 7 (c) 31 (d) 35
  37. 37.What is the mean of 7, 11, 12, 10 and 20? (a) 15 (b) 10 (c) 12 (d) 13
  38. 38.What is the mean of 12, 8, 6 and 22? (a) 16 (b) 12 (c) 11 (d) 13
  39. 39.What is the median of 28, 24, 7, 37, 15, 36 and 8? (a) 28 (b) 24 (c) 15 (d) 37
  40. 40.What is the mean of 7, 12, 13, 8, 13 and 7? (a) 11 (b) 10 (c) 9 (d) 12

Answer key

  1. 32
  2. 13
  3. 15
  4. 13
  5. 19
  6. 10
  7. 12
  8. 6
  9. 13
  10. 16
  11. 8
  12. 13
  13. 35
  14. 9
  15. 12
  16. 30
  17. 12
  18. 33
  19. 20
  20. 43
  21. 42
  22. 32
  23. 10
  24. 34
  25. 9
  26. 12
  27. 12
  28. 11
  29. 42
  30. 8
  31. 7
  32. 5
  33. 29
  34. 12
  35. 10
  36. 11
  37. 12
  38. 12
  39. 24
  40. 10

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