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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 660 · 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 16, 8, 14, 19 and 3? (a) 13 (b) 15 (c) 10 (d) 12
  2. 2.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  3. 3.What is the mode of 5, 17, 5, 5, 20, 6 and 20? (a) 20 (b) 17 (c) 5 (d) 6
  4. 4.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.The mean of 8 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 31 (b) 22 (c) 25 (d) 24
  6. 6.What is the median of 28, 32, 19, 1, 20, 24 and 3? (a) 1 (b) 24 (c) 20 (d) 19
  7. 7.What is the mode of 17, 10, 14, 17, 5, 14 and 14? (a) 14 (b) 10 (c) 5 (d) 17
  8. 8.What is the mean of 20, 5, 4, 11 and 10? (a) 12 (b) 11 (c) 10 (d) 9
  9. 9.What is the median of 16, 7, 1, 3 and 32? (a) 1 (b) 16 (c) 7 (d) 3
  10. 10.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
  11. 11.The mean of 4 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 29
  12. 12.The mean of 4 numbers is 39. When the number 19 is added to them, what is the new mean? (a) 39 (b) 29 (c) 35 (d) 36
  13. 13.What is the median of 5, 24, 2, 39, 23, 37 and 21? (a) 24 (b) 23 (c) 39 (d) 21
  14. 14.What is the median of 11, 30, 5, 28 and 25? (a) 28 (b) 5 (c) 25 (d) 11
  15. 15.What is the mean of 20, 18, 20, 5 and 22? (a) 18 (b) 16 (c) 19 (d) 17
  16. 16.What is the mean of 20, 2, 3, 17, 3 and 15? (a) 10 (b) 12 (c) 11 (d) 9
  17. 17.What is the mode of 6, 6, 8, 6, 13, 10 and 10? (a) 13 (b) 6 (c) 10 (d) 8
  18. 18.The mean of 7 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 29 (b) 28 (c) 32 (d) 30
  19. 19.What is the mode of 2, 12, 2, 15, 15, 19 and 2? (a) 2 (b) 12 (c) 15 (d) 19
  20. 20.What is the mode of 2, 6, 16, 6, 6, 14 and 2? (a) 16 (b) 2 (c) 6 (d) 14
  21. 21.What is the mode of 7, 15, 11, 9, 7, 15 and 7? (a) 9 (b) 11 (c) 7 (d) 15
  22. 22.What is the median of 35, 29, 30, 9 and 36? (a) 30 (b) 31 (c) 35 (d) 29
  23. 23.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 24 (b) 23 (c) 19 (d) 39
  24. 24.What is the mean of 6, 19, 17, 2, 13 and 21? (a) 12 (b) 14 (c) 13 (d) 15
  25. 25.What is the mean of 6, 3, 19, 12, 17 and 21? (a) 14 (b) 15 (c) 13 (d) 12
  26. 26.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 29 (b) 30 (c) 39 (d) 25
  27. 27.The mean of 4 numbers is 25. When the number 30 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  28. 28.What is the mean of 2, 9, 13 and 12? (a) 10 (b) 12 (c) 8 (d) 9
  29. 29.The mean of 3 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 22 (b) 20 (c) 19 (d) 16
  30. 30.What is the mode of 11, 5, 13, 11, 4, 13 and 13? (a) 4 (b) 5 (c) 11 (d) 13
  31. 31.The mean of 4 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 17 (b) 27 (c) 21 (d) 22
  32. 32.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 19 (b) 23 (c) 25 (d) 22
  33. 33.What is the mode of 3, 8, 15, 15, 15, 9 and 3? (a) 9 (b) 8 (c) 3 (d) 15
  34. 34.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 13
  35. 35.What is the mode of 14, 6, 14, 14, 5, 5 and 15? (a) 5 (b) 6 (c) 14 (d) 15
  36. 36.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 38 (b) 33 (c) 37 (d) 49
  37. 37.What is the mean of 13, 7, 14 and 10? (a) 10 (b) 12 (c) 13 (d) 11
  38. 38.What is the median of 14, 11, 40, 33, 5, 34 and 37? (a) 14 (b) 34 (c) 33 (d) 32
  39. 39.The mean of 9 numbers is 35. When the number 75 is added to them, what is the new mean? (a) 35 (b) 40 (c) 39 (d) 55
  40. 40.What is the median of 6, 21, 37, 30, 7, 17 and 8? (a) 17 (b) 18 (c) 30 (d) 21

Answer key

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

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