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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 115 · 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 16, 36, 8, 22 and 33? (a) 33 (b) 23 (c) 22 (d) 8
  2. 2.The mean of 5 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 47 (b) 42 (c) 41 (d) 38
  3. 3.What is the mode of 17, 18, 8, 8, 8, 17 and 10? (a) 18 (b) 17 (c) 8 (d) 10
  4. 4.What is the mean of 6, 2, 7 and 13? (a) 8 (b) 6 (c) 7 (d) 9
  5. 5.What is the mean of 7, 15, 19, 14 and 20? (a) 14 (b) 17 (c) 16 (d) 15
  6. 6.What is the median of 40, 36, 8, 15, 23, 21 and 4? (a) 23 (b) 22 (c) 21 (d) 15
  7. 7.The mean of 5 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 14 (b) 19 (c) 18 (d) 26
  8. 8.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 37 (b) 34 (c) 36 (d) 35
  9. 9.What is the median of 24, 1, 17, 15, 37, 4 and 18? (a) 17 (b) 18 (c) 15 (d) 16
  10. 10.What is the mode of 5, 5, 10, 1, 1, 1 and 11? (a) 1 (b) 11 (c) 10 (d) 5
  11. 11.What is the mode of 17, 2, 17, 10, 17, 10 and 16? (a) 10 (b) 17 (c) 2 (d) 16
  12. 12.What is the mean of 8, 2, 10, 10 and 15? (a) 9 (b) 10 (c) 8 (d) 11
  13. 13.What is the mode of 17, 6, 7, 17, 6, 6 and 14? (a) 6 (b) 17 (c) 14 (d) 7
  14. 14.The mean of 6 numbers is 17. When the number 10 is added to them, what is the new mean? (a) 18 (b) 16 (c) 15 (d) 17
  15. 15.What is the mean of 4, 2, 17, 9 and 8? (a) 9 (b) 10 (c) 8 (d) 7
  16. 16.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 32 (b) 28 (c) 31 (d) 43
  17. 17.The mean of 5 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 35 (b) 39 (c) 36 (d) 33
  18. 18.What is the median of 10, 2, 23, 7 and 8? (a) 7 (b) 23 (c) 8 (d) 10
  19. 19.What is the median of 21, 4, 30, 18 and 32? (a) 22 (b) 21 (c) 30 (d) 18
  20. 20.What is the mean of 7, 4, 18, 6, 10 and 9? (a) 8 (b) 10 (c) 11 (d) 9
  21. 21.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 19 (b) 15 (c) 16 (d) 13
  22. 22.The mean of 3 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 30 (b) 26 (c) 29 (d) 28
  23. 23.What is the mode of 2, 2, 3, 1, 16, 16 and 16? (a) 1 (b) 16 (c) 3 (d) 2
  24. 24.What is the mode of 20, 6, 14, 14, 9, 9 and 9? (a) 20 (b) 14 (c) 9 (d) 6
  25. 25.What is the mode of 14, 10, 14, 1, 4, 4 and 14? (a) 4 (b) 14 (c) 10 (d) 1
  26. 26.What is the median of 33, 10, 20, 5, 23, 27 and 39? (a) 27 (b) 20 (c) 5 (d) 23
  27. 27.What is the median of 16, 36, 27, 34, 13, 23 and 6? (a) 34 (b) 27 (c) 16 (d) 23
  28. 28.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 18 (b) 22 (c) 17 (d) 19
  29. 29.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 34
  30. 30.What is the median of 26, 10, 3, 40 and 27? (a) 3 (b) 27 (c) 26 (d) 10
  31. 31.What is the mean of 3, 7, 15, 15 and 15? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.The mean of 9 numbers is 37. When the number 77 is added to them, what is the new mean? (a) 41 (b) 42 (c) 57 (d) 37
  33. 33.What is the median of 30, 27, 24, 21 and 11? (a) 21 (b) 25 (c) 24 (d) 27
  34. 34.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 37
  35. 35.What is the median of 1, 14, 37, 6 and 7? (a) 13 (b) 7 (c) 37 (d) 14
  36. 36.What is the mode of 15, 15, 7, 18, 4, 15 and 18? (a) 15 (b) 4 (c) 7 (d) 18
  37. 37.What is the median of 3, 34, 7, 30 and 2? (a) 3 (b) 30 (c) 8 (d) 7
  38. 38.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 20 (b) 32 (c) 29 (d) 28
  39. 39.What is the mode of 8, 14, 10, 11, 8, 14 and 8? (a) 14 (b) 8 (c) 10 (d) 11
  40. 40.What is the mean of 5, 2, 18 and 11? (a) 12 (b) 10 (c) 8 (d) 9

Answer key

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

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