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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 173 · 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 13, 29, 22, 12 and 8? (a) 22 (b) 12 (c) 14 (d) 13
  2. 2.What is the mean of 4, 3, 2, 10 and 11? (a) 8 (b) 7 (c) 5 (d) 6
  3. 3.What is the mean of 7, 10, 12, 2 and 19? (a) 11 (b) 9 (c) 12 (d) 10
  4. 4.What is the median of 16, 9, 10, 36, 5, 39 and 2? (a) 9 (b) 10 (c) 16 (d) 36
  5. 5.What is the mode of 8, 16, 6, 2, 8, 8 and 2? (a) 16 (b) 2 (c) 8 (d) 6
  6. 6.What is the mean of 18, 3, 12 and 19? (a) 14 (b) 13 (c) 15 (d) 12
  7. 7.What is the mean of 7, 12, 2, 11, 9 and 19? (a) 11 (b) 12 (c) 10 (d) 9
  8. 8.What is the mean of 3, 9, 19, 12, 20 and 9? (a) 14 (b) 13 (c) 11 (d) 12
  9. 9.What is the mean of 15, 9, 5, 4, 11 and 4? (a) 10 (b) 9 (c) 8 (d) 7
  10. 10.What is the mode of 6, 7, 9, 7, 9, 7 and 16? (a) 9 (b) 16 (c) 7 (d) 6
  11. 11.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 27 (b) 25 (c) 21 (d) 26
  12. 12.The mean of 6 numbers is 39. When the number 60 is added to them, what is the new mean? (a) 42 (b) 41 (c) 39 (d) 43
  13. 13.The mean of 3 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 19 (b) 25 (c) 23 (d) 22
  14. 14.The mean of 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 15 (b) 19 (c) 33 (d) 20
  15. 15.What is the mode of 1, 2, 19, 2, 7, 2 and 7? (a) 1 (b) 2 (c) 7 (d) 19
  16. 16.What is the median of 38, 22, 1, 10 and 33? (a) 1 (b) 33 (c) 22 (d) 10
  17. 17.What is the median of 4, 40, 1, 2 and 24? (a) 4 (b) 2 (c) 24 (d) 1
  18. 18.What is the mode of 9, 12, 6, 12, 12, 6 and 3? (a) 3 (b) 6 (c) 12 (d) 9
  19. 19.What is the median of 11, 40, 37, 38 and 36? (a) 36 (b) 39 (c) 37 (d) 38
  20. 20.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 40 (b) 41 (c) 39 (d) 38
  21. 21.What is the mean of 7, 2, 13, 10, 16 and 18? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.The mean of 3 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 37 (b) 33 (c) 39 (d) 36
  23. 23.What is the median of 28, 39, 11, 12 and 3? (a) 28 (b) 12 (c) 11 (d) 13
  24. 24.What is the mode of 10, 14, 6, 14, 2, 2 and 2? (a) 10 (b) 6 (c) 2 (d) 14
  25. 25.What is the mode of 20, 17, 4, 17, 2, 4 and 17? (a) 2 (b) 20 (c) 17 (d) 4
  26. 26.What is the mode of 10, 4, 3, 19, 19, 4 and 19? (a) 10 (b) 4 (c) 19 (d) 3
  27. 27.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 10
  28. 28.What is the mode of 3, 9, 9, 6, 3, 13 and 3? (a) 13 (b) 3 (c) 9 (d) 6
  29. 29.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 28 (b) 33 (c) 23 (d) 27
  30. 30.What is the median of 24, 9, 1, 12 and 33? (a) 24 (b) 9 (c) 1 (d) 12
  31. 31.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 23
  32. 32.What is the mode of 20, 12, 4, 4, 4, 20 and 3? (a) 12 (b) 20 (c) 3 (d) 4
  33. 33.What is the mode of 15, 14, 2, 2, 2, 1 and 15? (a) 14 (b) 2 (c) 1 (d) 15
  34. 34.What is the mean of 18, 11, 17, 13 and 6? (a) 12 (b) 13 (c) 15 (d) 14
  35. 35.What is the mean of 19, 13, 15, 3, 16 and 12? (a) 14 (b) 13 (c) 15 (d) 12
  36. 36.What is the mean of 6, 3, 5, 15 and 16? (a) 11 (b) 10 (c) 9 (d) 8
  37. 37.What is the mode of 7, 5, 7, 7, 5, 18 and 2? (a) 2 (b) 7 (c) 5 (d) 18
  38. 38.What is the mode of 17, 17, 17, 20, 10, 15 and 15? (a) 20 (b) 15 (c) 10 (d) 17
  39. 39.What is the mode of 12, 12, 1, 1, 10, 15 and 1? (a) 1 (b) 10 (c) 15 (d) 12
  40. 40.What is the median of 24, 8, 31, 2 and 37? (a) 31 (b) 25 (c) 8 (d) 24

Answer key

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

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