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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 337 · 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 median of 29, 33, 12, 8 and 15? (a) 16 (b) 12 (c) 29 (d) 15
  2. 2.What is the median of 2, 37, 8, 22, 18, 20 and 21? (a) 20 (b) 22 (c) 18 (d) 21
  3. 3.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 40 (b) 37 (c) 38 (d) 39
  4. 4.What is the mean of 20, 16, 6, 3, 20 and 19? (a) 13 (b) 14 (c) 15 (d) 12
  5. 5.What is the mean of 14, 2, 11 and 9? (a) 8 (b) 10 (c) 9 (d) 12
  6. 6.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 24 (b) 23 (c) 26 (d) 25
  7. 7.What is the mode of 1, 10, 10, 1, 10, 5 and 15? (a) 5 (b) 1 (c) 10 (d) 15
  8. 8.What is the mean of 8, 15, 11, 16 and 15? (a) 13 (b) 15 (c) 12 (d) 14
  9. 9.What is the mode of 12, 12, 9, 3, 20, 9 and 12? (a) 3 (b) 9 (c) 20 (d) 12
  10. 10.The mean of 7 numbers is 32. When the number 64 is added to them, what is the new mean? (a) 36 (b) 37 (c) 32 (d) 48
  11. 11.The mean of 3 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 17 (b) 19 (c) 13 (d) 16
  12. 12.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34
  13. 13.The mean of 9 numbers is 24. When the number 54 is added to them, what is the new mean? (a) 27 (b) 24 (c) 28 (d) 39
  14. 14.What is the mode of 6, 2, 2, 17, 6, 2 and 5? (a) 17 (b) 5 (c) 6 (d) 2
  15. 15.What is the mean of 3, 16, 12, 20 and 4? (a) 13 (b) 10 (c) 11 (d) 12
  16. 16.What is the median of 6, 30, 31, 10 and 19? (a) 30 (b) 31 (c) 10 (d) 19
  17. 17.What is the mean of 17, 16, 12, 12 and 18? (a) 17 (b) 16 (c) 14 (d) 15
  18. 18.What is the mode of 15, 14, 19, 11, 19, 19 and 15? (a) 11 (b) 15 (c) 19 (d) 14
  19. 19.What is the mean of 19, 19, 6, 20 and 21? (a) 16 (b) 19 (c) 18 (d) 17
  20. 20.What is the mean of 5, 19, 9 and 3? (a) 9 (b) 8 (c) 12 (d) 10
  21. 21.What is the median of 21, 26, 25, 10, 37, 15 and 38? (a) 21 (b) 10 (c) 25 (d) 26
  22. 22.What is the mean of 7, 6, 17 and 10? (a) 8 (b) 11 (c) 10 (d) 9
  23. 23.What is the mode of 2, 20, 11, 11, 2, 10 and 11? (a) 10 (b) 20 (c) 2 (d) 11
  24. 24.What is the median of 36, 26, 39, 9, 21, 22 and 8? (a) 9 (b) 23 (c) 26 (d) 22
  25. 25.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 15 (b) 19 (c) 17 (d) 18
  26. 26.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 10
  27. 27.What is the mode of 11, 19, 19, 13, 11, 4 and 11? (a) 13 (b) 19 (c) 11 (d) 4
  28. 28.What is the mode of 6, 5, 3, 6, 6, 7 and 3? (a) 3 (b) 7 (c) 5 (d) 6
  29. 29.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 26 (b) 27 (c) 16 (d) 30
  30. 30.The mean of 6 numbers is 39. When the number 60 is added to them, what is the new mean? (a) 39 (b) 41 (c) 42 (d) 43
  31. 31.What is the median of 15, 2, 6, 24 and 33? (a) 24 (b) 16 (c) 15 (d) 6
  32. 32.What is the mode of 7, 18, 9, 7, 20, 9 and 9? (a) 7 (b) 18 (c) 20 (d) 9
  33. 33.What is the mode of 4, 5, 4, 1, 18, 4 and 18? (a) 5 (b) 4 (c) 1 (d) 18
  34. 34.What is the mean of 16, 14, 19 and 3? (a) 14 (b) 13 (c) 15 (d) 12
  35. 35.What is the mean of 19, 2, 3, 14 and 17? (a) 13 (b) 11 (c) 10 (d) 12
  36. 36.What is the mean of 18, 18, 20, 20, 11 and 15? (a) 18 (b) 17 (c) 16 (d) 19
  37. 37.What is the mean of 11, 12, 6 and 23? (a) 14 (b) 12 (c) 15 (d) 13
  38. 38.What is the mode of 4, 16, 16, 9, 2, 2 and 2? (a) 9 (b) 16 (c) 4 (d) 2
  39. 39.What is the mode of 2, 20, 2, 20, 20, 10 and 3? (a) 10 (b) 2 (c) 20 (d) 3
  40. 40.What is the mean of 4, 6, 20, 15, 4 and 23? (a) 11 (b) 14 (c) 12 (d) 13

Answer key

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

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