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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 939 · 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 median of 37, 14, 18, 13 and 32? (a) 18 (b) 32 (c) 14 (d) 19
  2. 2.The mean of 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 37 (b) 27 (c) 31 (d) 32
  3. 3.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 13
  4. 4.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 44 (b) 43 (c) 53 (d) 39
  5. 5.What is the median of 35, 27, 20, 31 and 25? (a) 31 (b) 27 (c) 25 (d) 20
  6. 6.What is the mean of 18, 10, 10, 17, 17 and 12? (a) 13 (b) 14 (c) 12 (d) 15
  7. 7.What is the mean of 20, 7, 12, 4, 4 and 13? (a) 10 (b) 9 (c) 11 (d) 12
  8. 8.What is the mode of 16, 16, 16, 3, 7, 13 and 13? (a) 16 (b) 13 (c) 7 (d) 3
  9. 9.What is the mode of 17, 18, 6, 5, 18, 18 and 6? (a) 17 (b) 6 (c) 18 (d) 5
  10. 10.What is the mean of 2, 20, 7, 16 and 20? (a) 12 (b) 15 (c) 14 (d) 13
  11. 11.What is the mode of 2, 20, 5, 5, 18, 18 and 18? (a) 2 (b) 5 (c) 20 (d) 18
  12. 12.What is the median of 14, 25, 2, 24 and 22? (a) 2 (b) 14 (c) 24 (d) 22
  13. 13.What is the median of 39, 18, 7, 13 and 23? (a) 20 (b) 23 (c) 7 (d) 18
  14. 14.What is the median of 37, 15, 32, 36 and 26? (a) 32 (b) 36 (c) 33 (d) 26
  15. 15.What is the median of 28, 7, 24, 39, 23, 9 and 1? (a) 9 (b) 24 (c) 39 (d) 23
  16. 16.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 17
  17. 17.What is the median of 32, 12, 6, 3 and 30? (a) 13 (b) 6 (c) 12 (d) 30
  18. 18.What is the mean of 5, 5, 18, 14 and 18? (a) 12 (b) 10 (c) 15 (d) 13
  19. 19.What is the mode of 6, 3, 15, 15, 15, 6 and 17? (a) 17 (b) 6 (c) 15 (d) 3
  20. 20.The mean of 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 33 (b) 31 (c) 29 (d) 30
  21. 21.What is the mean of 10, 7, 17, 9 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  22. 22.What is the mean of 13, 17, 3 and 19? (a) 13 (b) 12 (c) 15 (d) 14
  23. 23.What is the mean of 11, 20, 15, 15 and 19? (a) 16 (b) 17 (c) 15 (d) 20
  24. 24.The mean of 5 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 30 (b) 36 (c) 35 (d) 34
  25. 25.What is the median of 40, 16, 14, 12 and 28? (a) 28 (b) 22 (c) 16 (d) 14
  26. 26.What is the median of 16, 32, 29, 25, 19, 30 and 21? (a) 29 (b) 26 (c) 21 (d) 25
  27. 27.What is the median of 11, 35, 13, 1, 6, 27 and 9? (a) 9 (b) 11 (c) 13 (d) 1
  28. 28.What is the median of 34, 30, 7, 14 and 23? (a) 30 (b) 23 (c) 7 (d) 14
  29. 29.What is the mean of 20, 7, 3, 3, 11 and 16? (a) 9 (b) 11 (c) 10 (d) 12
  30. 30.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 28 (b) 31 (c) 19 (d) 29
  31. 31.What is the mode of 12, 20, 7, 12, 20, 20 and 15? (a) 12 (b) 20 (c) 15 (d) 7
  32. 32.What is the mode of 5, 13, 7, 4, 4, 13 and 4? (a) 7 (b) 4 (c) 13 (d) 5
  33. 33.What is the mean of 2, 4, 5, 17 and 7? (a) 8 (b) 7 (c) 9 (d) 6
  34. 34.What is the mean of 3, 6, 5, 7, 13 and 8? (a) 8 (b) 7 (c) 6 (d) 9
  35. 35.What is the mode of 6, 3, 20, 18, 3, 20 and 3? (a) 6 (b) 18 (c) 20 (d) 3
  36. 36.What is the median of 9, 27, 37, 7 and 26? (a) 26 (b) 9 (c) 27 (d) 37
  37. 37.The mean of 7 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 28 (b) 27 (c) 31 (d) 29
  38. 38.What is the mean of 13, 20, 17, 18 and 22? (a) 17 (b) 18 (c) 15 (d) 19
  39. 39.The mean of 6 numbers is 12. When the number 33 is added to them, what is the new mean? (a) 16 (b) 15 (c) 12 (d) 14
  40. 40.What is the mean of 6, 16, 9, 16, 7 and 6? (a) 10 (b) 9 (c) 11 (d) 12

Answer key

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

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