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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 728 · 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 7, 11, 11 and 15? (a) 12 (b) 10 (c) 11 (d) 13
  2. 2.What is the median of 3, 8, 4, 25, 34, 19 and 10? (a) 25 (b) 8 (c) 19 (d) 10
  3. 3.The mean of 4 numbers is 30. When the number 35 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 31
  4. 4.What is the mean of 6, 2, 17, 16 and 19? (a) 10 (b) 13 (c) 15 (d) 12
  5. 5.What is the median of 26, 3, 1, 38 and 36? (a) 26 (b) 1 (c) 3 (d) 36
  6. 6.What is the median of 17, 5, 12, 31, 18, 40 and 33? (a) 31 (b) 18 (c) 19 (d) 17
  7. 7.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 10 (b) 22 (c) 14 (d) 15
  8. 8.What is the mean of 5, 11, 2 and 18? (a) 9 (b) 10 (c) 8 (d) 12
  9. 9.The mean of 7 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 38 (b) 40 (c) 28 (d) 37
  10. 10.What is the mode of 4, 8, 16, 19, 4, 16 and 16? (a) 16 (b) 4 (c) 19 (d) 8
  11. 11.What is the mean of 18, 18, 17, 20, 4 and 19? (a) 16 (b) 17 (c) 18 (d) 15
  12. 12.What is the mode of 8, 15, 1, 15, 8, 3 and 8? (a) 8 (b) 3 (c) 15 (d) 1
  13. 13.What is the mode of 7, 9, 18, 7, 18, 20 and 18? (a) 9 (b) 18 (c) 20 (d) 7
  14. 14.What is the mean of 3, 16, 17, 13, 14 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  15. 15.The mean of 8 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 17 (b) 18 (c) 10 (d) 19
  16. 16.What is the median of 25, 14, 15, 11, 38, 20 and 35? (a) 11 (b) 25 (c) 15 (d) 20
  17. 17.The mean of 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 36 (b) 28 (c) 34 (d) 35
  18. 18.What is the mode of 6, 3, 6, 4, 6, 1 and 3? (a) 4 (b) 1 (c) 3 (d) 6
  19. 19.What is the mode of 3, 7, 7, 14, 5, 5 and 5? (a) 14 (b) 5 (c) 3 (d) 7
  20. 20.What is the mode of 8, 12, 16, 5, 8, 16 and 16? (a) 8 (b) 16 (c) 12 (d) 5
  21. 21.What is the median of 8, 22, 7, 35, 37, 13 and 3? (a) 13 (b) 35 (c) 22 (d) 8
  22. 22.What is the mean of 12, 8, 17 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  23. 23.What is the median of 18, 5, 8, 17, 21, 36 and 39? (a) 21 (b) 18 (c) 19 (d) 17
  24. 24.What is the median of 11, 39, 10, 2 and 29? (a) 12 (b) 11 (c) 10 (d) 29
  25. 25.What is the mean of 11, 11, 5 and 5? (a) 7 (b) 9 (c) 10 (d) 8
  26. 26.The mean of 9 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 41 (b) 39 (c) 42 (d) 49
  27. 27.What is the median of 6, 15, 7, 11, 2, 31 and 12? (a) 10 (b) 11 (c) 12 (d) 7
  28. 28.What is the median of 35, 37, 3, 16 and 39? (a) 3 (b) 26 (c) 37 (d) 35
  29. 29.What is the mean of 18, 11, 8 and 3? (a) 8 (b) 10 (c) 9 (d) 11
  30. 30.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 22 (b) 27 (c) 25 (d) 26
  31. 31.What is the mean of 4, 7, 3, 14 and 17? (a) 9 (b) 10 (c) 11 (d) 8
  32. 32.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 35 (c) 26 (d) 34
  33. 33.What is the mean of 18, 6, 11, 17, 2 and 6? (a) 9 (b) 11 (c) 12 (d) 10
  34. 34.What is the median of 8, 38, 6, 34, 25, 33 and 16? (a) 25 (b) 33 (c) 34 (d) 16
  35. 35.What is the median of 9, 25, 10, 12, 27, 15 and 36? (a) 16 (b) 12 (c) 15 (d) 25
  36. 36.What is the median of 36, 12, 32, 21, 7, 30 and 1? (a) 12 (b) 22 (c) 21 (d) 30
  37. 37.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 24
  38. 38.The mean of 9 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 26 (b) 25 (c) 29 (d) 24
  39. 39.What is the mode of 3, 6, 3, 17, 17, 10 and 3? (a) 10 (b) 17 (c) 6 (d) 3
  40. 40.The mean of 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 15 (b) 17 (c) 13 (d) 16

Answer key

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

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