← Data handling: mean, median, mode lesson New set →

Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 520 · 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 3, 5, 35, 18, 20, 4 and 9? (a) 10 (b) 9 (c) 5 (d) 18
  2. 2.What is the median of 11, 25, 2, 10, 26, 31 and 22? (a) 22 (b) 10 (c) 11 (d) 25
  3. 3.The mean of 3 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 26 (b) 24 (c) 20 (d) 23
  4. 4.What is the mode of 13, 13, 15, 13, 17, 4 and 17? (a) 4 (b) 15 (c) 17 (d) 13
  5. 5.What is the mean of 9, 19, 10 and 2? (a) 9 (b) 8 (c) 11 (d) 10
  6. 6.What is the median of 25, 28, 23, 10, 30, 29 and 27? (a) 10 (b) 28 (c) 25 (d) 27
  7. 7.What is the mean of 17, 7, 19, 17, 4 and 2? (a) 10 (b) 12 (c) 11 (d) 13
  8. 8.What is the median of 31, 37, 7, 32, 34, 12 and 4? (a) 31 (b) 12 (c) 32 (d) 30
  9. 9.What is the median of 9, 3, 24, 1 and 18? (a) 24 (b) 18 (c) 11 (d) 9
  10. 10.What is the mean of 6, 4, 19 and 11? (a) 9 (b) 8 (c) 11 (d) 10
  11. 11.What is the mean of 15, 4, 11 and 18? (a) 11 (b) 12 (c) 16 (d) 13
  12. 12.What is the mode of 3, 9, 13, 9, 11, 11 and 11? (a) 11 (b) 9 (c) 3 (d) 13
  13. 13.What is the mean of 10, 15, 18, 17, 6 and 12? (a) 15 (b) 13 (c) 14 (d) 12
  14. 14.What is the mode of 18, 20, 20, 13, 18, 20 and 2? (a) 13 (b) 20 (c) 18 (d) 2
  15. 15.What is the mode of 13, 13, 9, 13, 6, 6 and 10? (a) 13 (b) 9 (c) 10 (d) 6
  16. 16.What is the mean of 2, 12, 5, 16, 15 and 16? (a) 13 (b) 10 (c) 11 (d) 12
  17. 17.What is the mean of 20, 17, 13, 9 and 16? (a) 15 (b) 14 (c) 16 (d) 17
  18. 18.The mean of 4 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 28 (b) 23 (c) 22 (d) 18
  19. 19.What is the mean of 6, 6, 4, 7 and 7? (a) 8 (b) 6 (c) 5 (d) 7
  20. 20.What is the mode of 17, 17, 3, 3, 19, 16 and 17? (a) 17 (b) 16 (c) 19 (d) 3
  21. 21.What is the median of 33, 11, 7, 10, 26, 29 and 16? (a) 26 (b) 10 (c) 11 (d) 16
  22. 22.What is the mean of 18, 2, 12, 20 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  23. 23.What is the mean of 11, 3, 19, 10 and 12? (a) 12 (b) 11 (c) 10 (d) 13
  24. 24.What is the mean of 17, 19, 8, 13, 18 and 21? (a) 15 (b) 16 (c) 18 (d) 17
  25. 25.What is the mode of 7, 3, 4, 7, 7, 2 and 2? (a) 4 (b) 2 (c) 7 (d) 3
  26. 26.What is the median of 7, 35, 38, 11, 27, 8 and 28? (a) 27 (b) 28 (c) 11 (d) 22
  27. 27.What is the mode of 18, 10, 13, 13, 13, 18 and 6? (a) 6 (b) 10 (c) 13 (d) 18
  28. 28.What is the mean of 2, 15, 3, 16, 13 and 11? (a) 12 (b) 11 (c) 10 (d) 9
  29. 29.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 40 (b) 44 (c) 43 (d) 42
  30. 30.What is the median of 6, 30, 34, 2, 1, 22 and 20? (a) 2 (b) 22 (c) 6 (d) 20
  31. 31.What is the median of 10, 11, 8, 20, 12, 29 and 6? (a) 12 (b) 10 (c) 20 (d) 11
  32. 32.What is the mode of 16, 5, 14, 16, 16, 14 and 12? (a) 16 (b) 14 (c) 12 (d) 5
  33. 33.What is the mode of 18, 3, 20, 3, 18, 18 and 16? (a) 3 (b) 16 (c) 18 (d) 20
  34. 34.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 16
  35. 35.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  36. 36.What is the median of 31, 20, 3, 17 and 13? (a) 20 (b) 13 (c) 17 (d) 3
  37. 37.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 37 (b) 35 (c) 38 (d) 36
  38. 38.What is the mean of 2, 20, 6, 14 and 23? (a) 14 (b) 13 (c) 15 (d) 12
  39. 39.What is the mean of 5, 8, 20 and 19? (a) 15 (b) 14 (c) 13 (d) 12
  40. 40.What is the mean of 2, 4, 15 and 15? (a) 9 (b) 12 (c) 10 (d) 8

Answer key

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

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad