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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 603 · 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 36, 34, 6, 23 and 4? (a) 24 (b) 34 (c) 23 (d) 6
  2. 2.What is the mean of 16, 11, 13 and 8? (a) 16 (b) 13 (c) 12 (d) 11
  3. 3.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 52 (b) 40 (c) 41 (d) 36
  4. 4.What is the mean of 14, 19, 2 and 17? (a) 14 (b) 15 (c) 13 (d) 12
  5. 5.What is the mean of 14, 6, 8 and 4? (a) 8 (b) 10 (c) 9 (d) 7
  6. 6.What is the mode of 6, 12, 6, 12, 12, 3 and 18? (a) 3 (b) 18 (c) 6 (d) 12
  7. 7.What is the mode of 16, 13, 16, 12, 13, 19 and 13? (a) 12 (b) 16 (c) 19 (d) 13
  8. 8.What is the median of 14, 26, 5, 33 and 25? (a) 25 (b) 26 (c) 14 (d) 5
  9. 9.The mean of 5 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 27 (b) 26 (c) 22 (d) 34
  10. 10.What is the mean of 3, 11, 10, 19, 8 and 21? (a) 14 (b) 11 (c) 12 (d) 13
  11. 11.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 21 (b) 25 (c) 17 (d) 22
  12. 12.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 33 (b) 32 (c) 31 (d) 29
  13. 13.What is the median of 9, 18, 30, 24, 13, 38 and 20? (a) 21 (b) 18 (c) 20 (d) 24
  14. 14.What is the mode of 12, 6, 6, 13, 13, 13 and 10? (a) 10 (b) 13 (c) 6 (d) 12
  15. 15.What is the mean of 7, 2, 11, 12, 8 and 8? (a) 10 (b) 8 (c) 7 (d) 9
  16. 16.The mean of 3 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 40 (b) 48 (c) 45 (d) 44
  17. 17.The mean of 9 numbers is 30. When the number 70 is added to them, what is the new mean? (a) 30 (b) 35 (c) 50 (d) 34
  18. 18.What is the mean of 12, 16, 17, 8 and 22? (a) 14 (b) 15 (c) 16 (d) 17
  19. 19.What is the mean of 2, 15, 11, 10 and 7? (a) 9 (b) 10 (c) 8 (d) 11
  20. 20.What is the mean of 10, 10, 13, 9, 2 and 10? (a) 11 (b) 9 (c) 10 (d) 8
  21. 21.What is the median of 7, 5, 27, 21, 22, 20 and 17? (a) 19 (b) 17 (c) 20 (d) 21
  22. 22.What is the median of 14, 9, 37, 27 and 31? (a) 14 (b) 31 (c) 37 (d) 27
  23. 23.What is the median of 25, 9, 2, 14, 8, 35 and 24? (a) 15 (b) 24 (c) 9 (d) 14
  24. 24.What is the mean of 3, 11, 8 and 6? (a) 7 (b) 9 (c) 6 (d) 8
  25. 25.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 36
  26. 26.What is the median of 15, 19, 23, 12 and 34? (a) 23 (b) 15 (c) 20 (d) 19
  27. 27.What is the median of 22, 40, 6, 4, 3, 36 and 11? (a) 11 (b) 22 (c) 6 (d) 4
  28. 28.What is the median of 36, 38, 30, 29 and 24? (a) 30 (b) 29 (c) 31 (d) 36
  29. 29.What is the mean of 9, 13, 6, 7, 10 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  30. 30.What is the mean of 13, 15, 10, 4, 9 and 9? (a) 12 (b) 11 (c) 9 (d) 10
  31. 31.The mean of 7 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 41 (b) 33 (c) 29 (d) 32
  32. 32.What is the mean of 18, 14, 8, 20 and 15? (a) 17 (b) 16 (c) 15 (d) 14
  33. 33.What is the median of 34, 9, 7, 2 and 4? (a) 7 (b) 4 (c) 8 (d) 9
  34. 34.What is the mean of 14, 15, 15, 15, 11 and 20? (a) 15 (b) 16 (c) 14 (d) 18
  35. 35.What is the median of 30, 17, 10, 28, 37, 6 and 4? (a) 10 (b) 18 (c) 28 (d) 17
  36. 36.What is the mean of 13, 7, 14, 12, 20 and 18? (a) 12 (b) 15 (c) 14 (d) 13
  37. 37.What is the mean of 9, 4, 4, 13 and 20? (a) 10 (b) 9 (c) 12 (d) 11
  38. 38.What is the mode of 18, 18, 5, 5, 6, 18 and 10? (a) 6 (b) 18 (c) 10 (d) 5
  39. 39.What is the median of 30, 21, 5, 4 and 2? (a) 21 (b) 6 (c) 4 (d) 5
  40. 40.The mean of 9 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 23 (b) 21 (c) 18 (d) 22

Answer key

  1. 23
  2. 12
  3. 40
  4. 13
  5. 8
  6. 12
  7. 13
  8. 25
  9. 26
  10. 12
  11. 21
  12. 32
  13. 20
  14. 13
  15. 8
  16. 44
  17. 34
  18. 15
  19. 9
  20. 9
  21. 20
  22. 27
  23. 14
  24. 7
  25. 38
  26. 19
  27. 11
  28. 30
  29. 11
  30. 10
  31. 32
  32. 15
  33. 7
  34. 15
  35. 17
  36. 14
  37. 10
  38. 18
  39. 5
  40. 22

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