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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 369 · 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 4, 2, 9 and 9? (a) 8 (b) 5 (c) 7 (d) 6
  2. 2.What is the mode of 13, 19, 19, 1, 1, 12 and 1? (a) 12 (b) 19 (c) 13 (d) 1
  3. 3.What is the mode of 17, 2, 17, 9, 9, 8 and 17? (a) 9 (b) 2 (c) 8 (d) 17
  4. 4.The mean of 6 numbers is 35. When the number 63 is added to them, what is the new mean? (a) 49 (b) 35 (c) 39 (d) 40
  5. 5.What is the median of 27, 6, 40, 24 and 39? (a) 40 (b) 39 (c) 24 (d) 27
  6. 6.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
  7. 7.What is the mean of 11, 19, 5, 2, 6 and 17? (a) 10 (b) 12 (c) 9 (d) 11
  8. 8.What is the mode of 5, 15, 10, 10, 13, 13 and 10? (a) 5 (b) 15 (c) 13 (d) 10
  9. 9.What is the mean of 6, 15, 16 and 19? (a) 15 (b) 13 (c) 16 (d) 14
  10. 10.What is the mean of 15, 16, 14 and 19? (a) 17 (b) 18 (c) 16 (d) 15
  11. 11.What is the mode of 18, 18, 7, 17, 18, 17 and 12? (a) 12 (b) 7 (c) 17 (d) 18
  12. 12.What is the mean of 11, 18, 12 and 15? (a) 15 (b) 13 (c) 14 (d) 16
  13. 13.The mean of 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 20
  14. 14.What is the median of 25, 9, 31, 1 and 3? (a) 9 (b) 25 (c) 3 (d) 31
  15. 15.What is the mean of 18, 17, 13, 19 and 3? (a) 16 (b) 13 (c) 15 (d) 14
  16. 16.What is the mean of 3, 9, 10, 14 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  17. 17.What is the mode of 14, 4, 8, 8, 14, 8 and 20? (a) 14 (b) 4 (c) 8 (d) 20
  18. 18.What is the mode of 18, 1, 18, 1, 15, 1 and 13? (a) 15 (b) 18 (c) 13 (d) 1
  19. 19.What is the median of 8, 38, 16, 28, 24, 10 and 5? (a) 24 (b) 16 (c) 28 (d) 10
  20. 20.What is the mode of 2, 2, 8, 3, 3, 18 and 3? (a) 8 (b) 18 (c) 2 (d) 3
  21. 21.What is the mean of 19, 2, 10 and 21? (a) 14 (b) 12 (c) 13 (d) 15
  22. 22.What is the median of 9, 7, 1, 33 and 2? (a) 1 (b) 9 (c) 2 (d) 7
  23. 23.What is the mode of 6, 8, 10, 6, 8, 8 and 17? (a) 8 (b) 10 (c) 6 (d) 17
  24. 24.What is the mean of 18, 2, 3 and 9? (a) 10 (b) 9 (c) 8 (d) 7
  25. 25.What is the mean of 4, 12, 19 and 13? (a) 12 (b) 13 (c) 16 (d) 11
  26. 26.What is the mean of 14, 3, 6, 9 and 18? (a) 9 (b) 11 (c) 12 (d) 10
  27. 27.What is the mean of 12, 2, 17 and 17? (a) 12 (b) 11 (c) 16 (d) 13
  28. 28.What is the mode of 4, 4, 9, 4, 9, 5 and 19? (a) 5 (b) 4 (c) 9 (d) 19
  29. 29.What is the median of 31, 23, 16, 11 and 1? (a) 11 (b) 23 (c) 16 (d) 17
  30. 30.What is the mean of 5, 6, 5 and 16? (a) 10 (b) 8 (c) 9 (d) 7
  31. 31.What is the mode of 8, 17, 8, 3, 17, 7 and 17? (a) 17 (b) 3 (c) 7 (d) 8
  32. 32.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 31
  33. 33.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 26 (b) 14 (c) 18 (d) 17
  34. 34.What is the mean of 4, 14, 2, 13, 18 and 9? (a) 9 (b) 10 (c) 12 (d) 11
  35. 35.What is the median of 6, 12, 17, 40 and 18? (a) 12 (b) 18 (c) 17 (d) 16
  36. 36.What is the mode of 11, 11, 19, 15, 13, 11 and 13? (a) 19 (b) 15 (c) 11 (d) 13
  37. 37.What is the median of 9, 40, 19, 31 and 15? (a) 31 (b) 15 (c) 19 (d) 20
  38. 38.The mean of 7 numbers is 31. When the number 63 is added to them, what is the new mean? (a) 31 (b) 35 (c) 36 (d) 47
  39. 39.What is the median of 32, 24, 35, 29 and 22? (a) 32 (b) 35 (c) 29 (d) 24
  40. 40.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 28 (c) 21 (d) 27

Answer key

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

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