← 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 85 · 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 1, 39, 8, 34 and 37? (a) 35 (b) 37 (c) 34 (d) 8
  2. 2.What is the median of 28, 33, 36, 22 and 3? (a) 22 (b) 33 (c) 36 (d) 28
  3. 3.What is the median of 4, 5, 32, 3 and 27? (a) 32 (b) 4 (c) 27 (d) 5
  4. 4.What is the median of 26, 11, 9, 37, 33, 17 and 16? (a) 26 (b) 17 (c) 16 (d) 37
  5. 5.What is the mean of 18, 7, 3, 15, 9 and 14? (a) 11 (b) 13 (c) 10 (d) 12
  6. 6.What is the median of 13, 39, 4, 2 and 18? (a) 14 (b) 4 (c) 18 (d) 13
  7. 7.What is the median of 14, 3, 35, 7, 13, 16 and 10? (a) 10 (b) 14 (c) 13 (d) 7
  8. 8.What is the mean of 19, 17, 2 and 2? (a) 8 (b) 9 (c) 11 (d) 10
  9. 9.The mean of 9 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 35 (b) 37 (c) 40 (d) 36
  10. 10.What is the mode of 20, 20, 6, 11, 14, 11 and 11? (a) 6 (b) 20 (c) 14 (d) 11
  11. 11.What is the mean of 10, 3, 10 and 9? (a) 7 (b) 8 (c) 10 (d) 9
  12. 12.What is the median of 38, 5, 29, 33, 6, 22 and 16? (a) 33 (b) 29 (c) 22 (d) 16
  13. 13.What is the median of 17, 5, 31, 26, 27, 4 and 3? (a) 5 (b) 26 (c) 17 (d) 18
  14. 14.The mean of 7 numbers is 39. When the number 71 is added to them, what is the new mean? (a) 55 (b) 43 (c) 44 (d) 39
  15. 15.What is the mode of 7, 1, 14, 1, 3, 14 and 14? (a) 1 (b) 3 (c) 7 (d) 14
  16. 16.What is the mean of 4, 6, 8, 13, 6 and 11? (a) 9 (b) 7 (c) 8 (d) 10
  17. 17.What is the mean of 16, 18, 5, 7, 2 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  18. 18.What is the mode of 5, 5, 5, 12, 14, 15 and 12? (a) 5 (b) 15 (c) 12 (d) 14
  19. 19.What is the median of 10, 17, 30, 3, 35, 40 and 13? (a) 13 (b) 30 (c) 3 (d) 17
  20. 20.The mean of 4 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 22 (b) 19 (c) 24 (d) 23
  21. 21.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 19
  22. 22.What is the mean of 18, 9, 9, 4, 4 and 22? (a) 12 (b) 13 (c) 11 (d) 10
  23. 23.What is the median of 9, 13, 12, 34, 25, 28 and 2? (a) 25 (b) 34 (c) 13 (d) 12
  24. 24.What is the mean of 17, 20, 3, 12, 18 and 14? (a) 14 (b) 13 (c) 12 (d) 15
  25. 25.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 41 (b) 34 (c) 33 (d) 31
  26. 26.What is the mean of 19, 14, 16, 15 and 6? (a) 14 (b) 16 (c) 15 (d) 13
  27. 27.What is the median of 40, 16, 4, 19 and 11? (a) 18 (b) 19 (c) 4 (d) 16
  28. 28.What is the median of 2, 11, 36, 40 and 9? (a) 12 (b) 36 (c) 11 (d) 9
  29. 29.What is the median of 25, 31, 24, 36, 5, 3 and 4? (a) 24 (b) 25 (c) 36 (d) 5
  30. 30.What is the mean of 7, 8, 6 and 7? (a) 8 (b) 7 (c) 9 (d) 6
  31. 31.What is the mean of 6, 5, 5 and 16? (a) 9 (b) 7 (c) 10 (d) 8
  32. 32.The mean of 8 numbers is 40. When the number 13 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 40
  33. 33.What is the mean of 17, 18, 10, 15, 5 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  34. 34.What is the mode of 4, 4, 16, 16, 1, 16 and 17? (a) 1 (b) 16 (c) 4 (d) 17
  35. 35.What is the mean of 20, 12, 15 and 5? (a) 14 (b) 13 (c) 15 (d) 12
  36. 36.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 19 (b) 18 (c) 16 (d) 17
  37. 37.What is the mean of 11, 10, 7, 5 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  38. 38.What is the median of 27, 26, 13, 22 and 8? (a) 13 (b) 26 (c) 22 (d) 23
  39. 39.What is the mean of 5, 9, 10 and 20? (a) 13 (b) 11 (c) 12 (d) 10
  40. 40.The mean of 3 numbers is 35. When the number 23 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 29

Answer key

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

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