← 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 902 · 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 mean of 8, 19, 8, 13 and 12? (a) 13 (b) 15 (c) 12 (d) 10
  2. 2.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 25
  3. 3.What is the mean of 3, 5, 7, 3 and 12? (a) 6 (b) 7 (c) 8 (d) 5
  4. 4.What is the mode of 16, 1, 16, 8, 6, 16 and 8? (a) 1 (b) 8 (c) 16 (d) 6
  5. 5.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 26 (b) 23 (c) 22 (d) 24
  6. 6.What is the median of 21, 36, 31, 10, 15, 19 and 27? (a) 21 (b) 19 (c) 10 (d) 27
  7. 7.What is the mode of 5, 4, 5, 5, 7, 7 and 10? (a) 10 (b) 7 (c) 4 (d) 5
  8. 8.What is the mode of 9, 6, 6, 9, 9, 5 and 16? (a) 5 (b) 16 (c) 6 (d) 9
  9. 9.What is the median of 11, 1, 36, 4, 40, 16 and 3? (a) 11 (b) 4 (c) 16 (d) 12
  10. 10.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 6
  11. 11.The mean of 8 numbers is 30. When the number 21 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  12. 12.What is the mean of 17, 4, 9 and 10? (a) 11 (b) 10 (c) 9 (d) 8
  13. 13.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 16
  14. 14.What is the mean of 7, 6, 15, 6 and 21? (a) 11 (b) 10 (c) 13 (d) 12
  15. 15.What is the mean of 18, 17, 13 and 8? (a) 13 (b) 14 (c) 16 (d) 15
  16. 16.What is the median of 26, 35, 36, 22 and 9? (a) 22 (b) 35 (c) 36 (d) 26
  17. 17.What is the median of 30, 11, 23, 31, 17, 6 and 2? (a) 23 (b) 11 (c) 31 (d) 17
  18. 18.What is the median of 37, 40, 5, 10, 4, 35 and 13? (a) 35 (b) 10 (c) 13 (d) 14
  19. 19.What is the median of 17, 2, 6, 5 and 8? (a) 5 (b) 7 (c) 6 (d) 8
  20. 20.What is the median of 14, 6, 5, 40 and 11? (a) 14 (b) 5 (c) 6 (d) 11
  21. 21.What is the median of 35, 7, 3, 14 and 33? (a) 14 (b) 7 (c) 3 (d) 33
  22. 22.What is the mean of 18, 16, 13 and 9? (a) 14 (b) 13 (c) 15 (d) 16
  23. 23.What is the mean of 11, 16, 7 and 6? (a) 11 (b) 10 (c) 9 (d) 8
  24. 24.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 39 (b) 38 (c) 33 (d) 40
  25. 25.What is the mode of 13, 1, 5, 13, 1, 13 and 8? (a) 1 (b) 8 (c) 5 (d) 13
  26. 26.What is the median of 10, 1, 14, 11, 12, 26 and 18? (a) 13 (b) 11 (c) 12 (d) 14
  27. 27.What is the median of 28, 21, 6, 31, 37, 13 and 15? (a) 15 (b) 31 (c) 28 (d) 21
  28. 28.The mean of 9 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 39 (b) 40 (c) 44 (d) 41
  29. 29.What is the mode of 2, 3, 13, 3, 5, 2 and 3? (a) 2 (b) 13 (c) 3 (d) 5
  30. 30.What is the mode of 3, 15, 1, 6, 6, 6 and 15? (a) 15 (b) 6 (c) 1 (d) 3
  31. 31.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 40 (b) 43 (c) 42 (d) 41
  32. 32.What is the mean of 8, 2, 18, 11, 19 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  33. 33.What is the mean of 6, 2, 20, 13 and 19? (a) 15 (b) 13 (c) 10 (d) 12
  34. 34.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 10
  35. 35.What is the median of 21, 5, 9, 1 and 22? (a) 9 (b) 21 (c) 10 (d) 5
  36. 36.What is the mean of 16, 8, 5 and 3? (a) 7 (b) 8 (c) 10 (d) 9
  37. 37.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 41 (b) 39 (c) 35 (d) 38
  38. 38.What is the median of 29, 13, 31, 8 and 30? (a) 30 (b) 31 (c) 13 (d) 29
  39. 39.What is the mode of 2, 10, 2, 11, 10, 7 and 10? (a) 11 (b) 2 (c) 10 (d) 7
  40. 40.What is the median of 14, 18, 10, 11, 7, 8 and 38? (a) 10 (b) 11 (c) 12 (d) 14

Answer key

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

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