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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 886 · 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 17, 15, 10, 15 and 13? (a) 16 (b) 13 (c) 14 (d) 15
  2. 2.What is the mode of 9, 9, 9, 3, 6, 6 and 1? (a) 6 (b) 1 (c) 3 (d) 9
  3. 3.What is the mean of 8, 8, 17, 5, 14 and 8? (a) 9 (b) 11 (c) 12 (d) 10
  4. 4.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 22 (b) 23 (c) 34 (d) 18
  5. 5.What is the mean of 4, 6, 2 and 20? (a) 10 (b) 7 (c) 8 (d) 9
  6. 6.What is the mean of 18, 13, 19 and 10? (a) 20 (b) 16 (c) 12 (d) 15
  7. 7.The mean of 4 numbers is 25. When the number 15 is added to them, what is the new mean? (a) 25 (b) 20 (c) 23 (d) 24
  8. 8.What is the mean of 16, 12, 13 and 19? (a) 12 (b) 15 (c) 16 (d) 20
  9. 9.What is the mean of 12, 19, 8, 2 and 14? (a) 12 (b) 11 (c) 13 (d) 10
  10. 10.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 38 (b) 44 (c) 41 (d) 42
  11. 11.What is the mean of 20, 9, 4, 6 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  12. 12.What is the median of 23, 24, 40, 6 and 33? (a) 23 (b) 24 (c) 40 (d) 33
  13. 13.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 28
  14. 14.What is the mean of 9, 10, 16, 10 and 5? (a) 9 (b) 12 (c) 10 (d) 11
  15. 15.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 31
  16. 16.What is the mean of 3, 13, 18 and 6? (a) 8 (b) 11 (c) 9 (d) 10
  17. 17.The mean of 4 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 36 (b) 33 (c) 26 (d) 32
  18. 18.What is the mean of 10, 7, 9, 18, 3 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  19. 19.What is the mean of 3, 10, 9, 10, 15 and 7? (a) 10 (b) 9 (c) 11 (d) 8
  20. 20.The mean of 7 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 38 (b) 30 (c) 36 (d) 37
  21. 21.The mean of 3 numbers is 36. When the number 44 is added to them, what is the new mean? (a) 38 (b) 39 (c) 36 (d) 40
  22. 22.What is the mean of 16, 2, 12 and 18? (a) 12 (b) 16 (c) 13 (d) 11
  23. 23.What is the mode of 15, 13, 13, 19, 13, 19 and 3? (a) 15 (b) 13 (c) 3 (d) 19
  24. 24.What is the mode of 20, 5, 3, 3, 3, 20 and 1? (a) 5 (b) 1 (c) 3 (d) 20
  25. 25.What is the median of 17, 10, 13, 11 and 36? (a) 17 (b) 11 (c) 14 (d) 13
  26. 26.What is the median of 35, 38, 37, 6 and 9? (a) 37 (b) 25 (c) 9 (d) 35
  27. 27.The mean of 6 numbers is 27. When the number 34 is added to them, what is the new mean? (a) 27 (b) 30 (c) 28 (d) 29
  28. 28.What is the mean of 16, 2, 2, 10 and 10? (a) 9 (b) 8 (c) 10 (d) 7
  29. 29.The mean of 9 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 40 (b) 36 (c) 35 (d) 37
  30. 30.What is the mode of 5, 13, 3, 5, 13, 13 and 19? (a) 19 (b) 13 (c) 3 (d) 5
  31. 31.What is the mean of 18, 19, 14, 19 and 15? (a) 19 (b) 17 (c) 16 (d) 18
  32. 32.What is the mean of 15, 9, 13, 9, 18 and 14? (a) 13 (b) 12 (c) 14 (d) 15
  33. 33.What is the mode of 6, 12, 17, 6, 17, 17 and 7? (a) 17 (b) 7 (c) 12 (d) 6
  34. 34.The mean of 8 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 11 (b) 13 (c) 20 (d) 14
  35. 35.What is the median of 1, 13, 18, 19 and 9? (a) 18 (b) 9 (c) 13 (d) 12
  36. 36.What is the median of 30, 17, 16, 5, 8, 24 and 21? (a) 21 (b) 17 (c) 16 (d) 5
  37. 37.The mean of 6 numbers is 23. When the number 44 is added to them, what is the new mean? (a) 25 (b) 23 (c) 27 (d) 26
  38. 38.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 38 (b) 33 (c) 37 (d) 36
  39. 39.What is the mode of 2, 6, 1, 6, 9, 6 and 9? (a) 9 (b) 1 (c) 6 (d) 2
  40. 40.What is the mean of 12, 4, 19, 11 and 19? (a) 15 (b) 14 (c) 13 (d) 12

Answer key

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

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