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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 721 · 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 19, 18, 8, 19 and 6? (a) 14 (b) 16 (c) 13 (d) 15
  2. 2.What is the mode of 12, 7, 12, 18, 18, 3 and 18? (a) 12 (b) 7 (c) 18 (d) 3
  3. 3.What is the mode of 15, 4, 8, 8, 8, 16 and 15? (a) 8 (b) 15 (c) 16 (d) 4
  4. 4.What is the median of 15, 7, 40, 9, 27, 25 and 21? (a) 25 (b) 21 (c) 15 (d) 9
  5. 5.The mean of 4 numbers is 21. When the number 36 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 21
  6. 6.What is the mode of 16, 12, 18, 18, 9, 12 and 18? (a) 9 (b) 18 (c) 12 (d) 16
  7. 7.What is the median of 16, 7, 25, 8 and 19? (a) 15 (b) 19 (c) 16 (d) 25
  8. 8.What is the mean of 3, 6, 8, 19 and 19? (a) 11 (b) 13 (c) 10 (d) 12
  9. 9.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 14
  10. 10.What is the mean of 14, 14, 5, 10 and 12? (a) 12 (b) 11 (c) 13 (d) 10
  11. 11.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 32
  12. 12.What is the mode of 3, 13, 9, 15, 15, 15 and 9? (a) 9 (b) 13 (c) 3 (d) 15
  13. 13.What is the mode of 4, 4, 14, 4, 19, 13 and 13? (a) 19 (b) 13 (c) 4 (d) 14
  14. 14.What is the mode of 20, 11, 11, 20, 4, 20 and 12? (a) 12 (b) 4 (c) 20 (d) 11
  15. 15.What is the mean of 6, 14, 17 and 19? (a) 15 (b) 13 (c) 14 (d) 16
  16. 16.What is the mean of 13, 10, 3 and 22? (a) 11 (b) 12 (c) 16 (d) 13
  17. 17.What is the mean of 3, 7, 7 and 7? (a) 7 (b) 8 (c) 5 (d) 6
  18. 18.What is the median of 24, 37, 16, 25, 22, 7 and 38? (a) 23 (b) 24 (c) 25 (d) 22
  19. 19.What is the mean of 9, 2, 2, 16 and 6? (a) 9 (b) 6 (c) 7 (d) 8
  20. 20.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 18 (c) 22 (d) 19
  21. 21.What is the mean of 12, 12, 16, 9 and 6? (a) 11 (b) 10 (c) 13 (d) 12
  22. 22.What is the mean of 6, 20, 3 and 19? (a) 16 (b) 12 (c) 11 (d) 13
  23. 23.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 16 (b) 17 (c) 14 (d) 15
  24. 24.What is the median of 15, 20, 7, 5, 29, 27 and 34? (a) 15 (b) 20 (c) 5 (d) 27
  25. 25.The mean of 6 numbers is 35. When the number 7 is added to them, what is the new mean? (a) 32 (b) 21 (c) 31 (d) 35
  26. 26.What is the mean of 9, 7, 17, 2 and 10? (a) 10 (b) 8 (c) 9 (d) 11
  27. 27.What is the mode of 10, 1, 17, 17, 16, 17 and 16? (a) 16 (b) 17 (c) 10 (d) 1
  28. 28.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 28 (b) 24 (c) 26 (d) 27
  29. 29.What is the mean of 15, 2, 20 and 11? (a) 12 (b) 13 (c) 16 (d) 11
  30. 30.The mean of 9 numbers is 25. When the number 55 is added to them, what is the new mean? (a) 29 (b) 28 (c) 40 (d) 25
  31. 31.What is the mean of 18, 14, 13, 12 and 8? (a) 12 (b) 13 (c) 14 (d) 15
  32. 32.What is the mode of 17, 2, 2, 4, 8, 2 and 8? (a) 2 (b) 17 (c) 4 (d) 8
  33. 33.What is the median of 8, 38, 2, 17 and 32? (a) 2 (b) 17 (c) 8 (d) 32
  34. 34.What is the mode of 17, 11, 7, 11, 11, 7 and 5? (a) 7 (b) 5 (c) 17 (d) 11
  35. 35.What is the mean of 9, 14, 19, 2, 14 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  36. 36.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 40 (b) 43 (c) 52 (d) 44
  37. 37.What is the mode of 13, 9, 9, 9, 10, 10 and 4? (a) 4 (b) 13 (c) 10 (d) 9
  38. 38.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 46 (b) 42 (c) 43 (d) 40
  39. 39.What is the median of 28, 33, 35, 15, 10, 30 and 21? (a) 28 (b) 15 (c) 21 (d) 30
  40. 40.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 20 (b) 18 (c) 21 (d) 19

Answer key

  1. 14
  2. 18
  3. 8
  4. 21
  5. 24
  6. 18
  7. 16
  8. 11
  9. 14
  10. 11
  11. 31
  12. 15
  13. 4
  14. 20
  15. 14
  16. 12
  17. 6
  18. 24
  19. 7
  20. 18
  21. 11
  22. 12
  23. 15
  24. 20
  25. 31
  26. 9
  27. 17
  28. 27
  29. 12
  30. 28
  31. 13
  32. 2
  33. 17
  34. 11
  35. 13
  36. 43
  37. 9
  38. 42
  39. 28
  40. 19

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