← 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 931 · 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 mode of 17, 17, 14, 5, 17, 12 and 5? (a) 12 (b) 14 (c) 5 (d) 17
  2. 2.What is the median of 20, 10, 4, 21 and 28? (a) 4 (b) 10 (c) 21 (d) 20
  3. 3.What is the mean of 5, 19, 3, 12, 5 and 22? (a) 12 (b) 13 (c) 10 (d) 11
  4. 4.What is the mean of 4, 17, 18, 16 and 5? (a) 13 (b) 10 (c) 12 (d) 15
  5. 5.What is the mode of 15, 4, 9, 20, 15, 15 and 9? (a) 20 (b) 9 (c) 15 (d) 4
  6. 6.What is the median of 39, 3, 19, 28 and 4? (a) 28 (b) 20 (c) 19 (d) 4
  7. 7.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 19
  8. 8.What is the median of 1, 10, 33, 21, 8, 15 and 7? (a) 8 (b) 15 (c) 21 (d) 10
  9. 9.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 32 (b) 24 (c) 30 (d) 31
  10. 10.What is the mode of 12, 20, 5, 6, 20, 20 and 6? (a) 12 (b) 5 (c) 20 (d) 6
  11. 11.What is the mean of 15, 5, 8, 20, 5 and 19? (a) 13 (b) 12 (c) 11 (d) 14
  12. 12.What is the mode of 7, 12, 3, 4, 7, 3 and 3? (a) 3 (b) 7 (c) 4 (d) 12
  13. 13.What is the mode of 14, 20, 1, 14, 16, 20 and 20? (a) 20 (b) 14 (c) 1 (d) 16
  14. 14.What is the mode of 10, 19, 8, 13, 10, 10 and 13? (a) 8 (b) 19 (c) 10 (d) 13
  15. 15.What is the mode of 1, 8, 10, 9, 10, 1 and 1? (a) 10 (b) 1 (c) 8 (d) 9
  16. 16.What is the mode of 6, 11, 14, 15, 14, 6 and 6? (a) 14 (b) 6 (c) 11 (d) 15
  17. 17.What is the mean of 2, 10, 11, 4 and 23? (a) 10 (b) 9 (c) 12 (d) 11
  18. 18.What is the mode of 9, 3, 11, 11, 20, 9 and 9? (a) 3 (b) 11 (c) 9 (d) 20
  19. 19.What is the mean of 7, 3, 4 and 22? (a) 9 (b) 10 (c) 12 (d) 8
  20. 20.What is the mean of 9, 13, 12, 13, 13 and 24? (a) 14 (b) 15 (c) 12 (d) 13
  21. 21.What is the mean of 5, 6, 8 and 5? (a) 8 (b) 6 (c) 5 (d) 7
  22. 22.The mean of 9 numbers is 13. When the number 43 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 28
  23. 23.What is the mean of 20, 18, 12, 19, 10 and 11? (a) 14 (b) 18 (c) 16 (d) 15
  24. 24.What is the mean of 9, 8, 7 and 8? (a) 9 (b) 7 (c) 10 (d) 8
  25. 25.What is the mean of 20, 16, 4, 4, 5 and 17? (a) 13 (b) 10 (c) 12 (d) 11
  26. 26.The mean of 7 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 31 (b) 38 (c) 39 (d) 37
  27. 27.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 19 (b) 13 (c) 20 (d) 18
  28. 28.What is the median of 20, 27, 22, 23, 11, 13 and 26? (a) 20 (b) 22 (c) 23 (d) 21
  29. 29.What is the median of 13, 37, 2, 16, 10, 4 and 7? (a) 7 (b) 10 (c) 16 (d) 13
  30. 30.What is the median of 25, 3, 20, 26, 4, 5 and 7? (a) 26 (b) 7 (c) 5 (d) 20
  31. 31.What is the mean of 7, 11, 12, 14, 2 and 8? (a) 9 (b) 10 (c) 8 (d) 11
  32. 32.What is the mean of 16, 20, 13, 13 and 8? (a) 16 (b) 15 (c) 13 (d) 14
  33. 33.The mean of 9 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 37 (b) 38 (c) 42 (d) 39
  34. 34.What is the mean of 11, 6, 14, 13, 19 and 3? (a) 10 (b) 13 (c) 12 (d) 11
  35. 35.What is the mean of 20, 10, 12 and 18? (a) 16 (b) 20 (c) 15 (d) 12
  36. 36.What is the mean of 7, 6, 13 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  37. 37.What is the median of 31, 39, 1, 2 and 21? (a) 1 (b) 21 (c) 31 (d) 2
  38. 38.What is the median of 15, 16, 4, 7, 31, 9 and 5? (a) 7 (b) 15 (c) 10 (d) 9
  39. 39.What is the mode of 18, 6, 8, 18, 9, 6 and 6? (a) 8 (b) 18 (c) 9 (d) 6
  40. 40.The mean of 9 numbers is 18. When the number 48 is added to them, what is the new mean? (a) 22 (b) 33 (c) 18 (d) 21

Answer key

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

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