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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 162 · 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 12, 24, 10, 19, 7, 6 and 5? (a) 19 (b) 12 (c) 7 (d) 10
  2. 2.What is the mode of 2, 2, 4, 4, 15, 2 and 8? (a) 4 (b) 8 (c) 15 (d) 2
  3. 3.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 15 (b) 8 (c) 13 (d) 14
  4. 4.What is the mean of 12, 14, 3, 15 and 6? (a) 10 (b) 11 (c) 9 (d) 12
  5. 5.What is the mean of 4, 5, 6 and 9? (a) 8 (b) 7 (c) 6 (d) 5
  6. 6.The mean of 5 numbers is 37. When the number 49 is added to them, what is the new mean? (a) 37 (b) 40 (c) 43 (d) 39
  7. 7.What is the mode of 5, 5, 7, 7, 1, 11 and 5? (a) 1 (b) 7 (c) 5 (d) 11
  8. 8.What is the median of 36, 37, 33, 13, 6, 31 and 12? (a) 33 (b) 24 (c) 13 (d) 31
  9. 9.What is the mode of 1, 13, 19, 1, 3, 19 and 19? (a) 13 (b) 19 (c) 1 (d) 3
  10. 10.What is the mean of 4, 16, 5 and 19? (a) 12 (b) 11 (c) 13 (d) 10
  11. 11.What is the mode of 7, 3, 7, 7, 5, 18 and 18? (a) 5 (b) 7 (c) 3 (d) 18
  12. 12.What is the median of 35, 12, 19, 32, 18, 9 and 11? (a) 18 (b) 19 (c) 32 (d) 12
  13. 13.What is the mean of 14, 8, 5 and 21? (a) 11 (b) 13 (c) 16 (d) 12
  14. 14.The mean of 4 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 39 (b) 44 (c) 41 (d) 42
  15. 15.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 18 (c) 17 (d) 15
  16. 16.What is the mode of 4, 3, 4, 3, 1, 3 and 6? (a) 3 (b) 6 (c) 1 (d) 4
  17. 17.What is the median of 37, 6, 17, 3, 27, 32 and 1? (a) 3 (b) 17 (c) 6 (d) 27
  18. 18.The mean of 5 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 39 (b) 27 (c) 35 (d) 36
  19. 19.What is the mode of 8, 7, 19, 14, 8, 8 and 14? (a) 7 (b) 19 (c) 8 (d) 14
  20. 20.The mean of 3 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 18 (b) 17 (c) 21 (d) 13
  21. 21.What is the median of 5, 6, 9, 2 and 25? (a) 5 (b) 6 (c) 9 (d) 7
  22. 22.The mean of 3 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 35 (b) 31 (c) 39 (d) 36
  23. 23.What is the mode of 17, 15, 2, 2, 11, 17 and 2? (a) 15 (b) 17 (c) 11 (d) 2
  24. 24.What is the median of 23, 38, 25, 5 and 32? (a) 25 (b) 23 (c) 26 (d) 32
  25. 25.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 21 (c) 22 (d) 25
  26. 26.What is the mean of 7, 10, 11, 2 and 5? (a) 7 (b) 9 (c) 6 (d) 8
  27. 27.What is the median of 22, 9, 24, 2 and 31? (a) 23 (b) 24 (c) 9 (d) 22
  28. 28.What is the median of 19, 17, 25, 2, 18, 4 and 5? (a) 2 (b) 5 (c) 17 (d) 18
  29. 29.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 32
  30. 30.What is the mean of 2, 12, 15, 20 and 11? (a) 10 (b) 13 (c) 15 (d) 12
  31. 31.What is the median of 30, 5, 25, 2 and 8? (a) 5 (b) 25 (c) 8 (d) 14
  32. 32.What is the median of 34, 21, 19, 1 and 20? (a) 19 (b) 21 (c) 20 (d) 22
  33. 33.What is the mode of 16, 1, 7, 14, 7, 7 and 14? (a) 16 (b) 1 (c) 14 (d) 7
  34. 34.The mean of 8 numbers is 40. When the number 31 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 41
  35. 35.The mean of 7 numbers is 14. When the number 30 is added to them, what is the new mean? (a) 14 (b) 16 (c) 22 (d) 17
  36. 36.The mean of 5 numbers is 27. When the number 45 is added to them, what is the new mean? (a) 31 (b) 36 (c) 30 (d) 27
  37. 37.What is the mode of 9, 14, 9, 2, 2, 3 and 2? (a) 2 (b) 3 (c) 14 (d) 9
  38. 38.What is the mean of 7, 4, 3, 9 and 22? (a) 8 (b) 10 (c) 11 (d) 9
  39. 39.What is the median of 9, 22, 2, 25, 17, 31 and 3? (a) 9 (b) 22 (c) 17 (d) 25
  40. 40.The mean of 7 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 32 (b) 36 (c) 35 (d) 44

Answer key

  1. 10
  2. 2
  3. 13
  4. 10
  5. 6
  6. 39
  7. 5
  8. 31
  9. 19
  10. 11
  11. 7
  12. 18
  13. 12
  14. 41
  15. 17
  16. 3
  17. 17
  18. 35
  19. 8
  20. 17
  21. 6
  22. 35
  23. 2
  24. 25
  25. 21
  26. 7
  27. 22
  28. 17
  29. 35
  30. 12
  31. 8
  32. 20
  33. 7
  34. 39
  35. 16
  36. 30
  37. 2
  38. 9
  39. 17
  40. 35

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