← 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 602 · 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.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 31
  2. 2.What is the median of 16, 26, 4, 7, 3, 27 and 22? (a) 16 (b) 22 (c) 15 (d) 7
  3. 3.What is the mode of 16, 1, 16, 5, 5, 11 and 5? (a) 1 (b) 16 (c) 11 (d) 5
  4. 4.What is the mean of 7, 9, 4, 14 and 11? (a) 10 (b) 9 (c) 11 (d) 8
  5. 5.What is the mode of 20, 11, 1, 11, 11, 15 and 20? (a) 20 (b) 15 (c) 1 (d) 11
  6. 6.What is the mean of 6, 5, 7 and 18? (a) 10 (b) 8 (c) 12 (d) 9
  7. 7.What is the mean of 7, 6, 11, 3 and 13? (a) 10 (b) 7 (c) 8 (d) 9
  8. 8.What is the mode of 9, 10, 10, 4, 10, 11 and 4? (a) 10 (b) 11 (c) 9 (d) 4
  9. 9.What is the mode of 5, 20, 14, 1, 1, 20 and 20? (a) 1 (b) 14 (c) 5 (d) 20
  10. 10.The mean of 7 numbers is 32. When the number 24 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 28
  11. 11.What is the mean of 18, 20, 18, 10 and 14? (a) 15 (b) 20 (c) 17 (d) 16
  12. 12.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 19
  13. 13.What is the median of 17, 6, 3, 40 and 39? (a) 3 (b) 21 (c) 17 (d) 39
  14. 14.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 34 (b) 37 (c) 39 (d) 38
  15. 15.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 21
  16. 16.What is the mean of 12, 7, 10, 2 and 9? (a) 7 (b) 8 (c) 10 (d) 9
  17. 17.What is the mode of 1, 11, 16, 1, 15, 11 and 11? (a) 1 (b) 11 (c) 15 (d) 16
  18. 18.The mean of 8 numbers is 34. When the number 25 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  19. 19.What is the mean of 10, 8, 17 and 13? (a) 11 (b) 12 (c) 16 (d) 13
  20. 20.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 15
  21. 21.What is the median of 1, 29, 6, 20 and 12? (a) 13 (b) 6 (c) 20 (d) 12
  22. 22.What is the mode of 13, 13, 20, 2, 12, 2 and 2? (a) 12 (b) 20 (c) 2 (d) 13
  23. 23.What is the mode of 4, 3, 4, 15, 4, 15 and 13? (a) 15 (b) 4 (c) 3 (d) 13
  24. 24.What is the mode of 2, 2, 4, 10, 4, 7 and 2? (a) 10 (b) 4 (c) 7 (d) 2
  25. 25.The mean of 4 numbers is 30. When the number 35 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 31
  26. 26.What is the mean of 7, 6, 10, 13, 11 and 19? (a) 10 (b) 13 (c) 11 (d) 12
  27. 27.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 11 (b) 14 (c) 13 (d) 12
  28. 28.What is the mode of 12, 8, 8, 5, 4, 5 and 8? (a) 5 (b) 4 (c) 8 (d) 12
  29. 29.What is the mean of 17, 12, 15, 17, 14 and 15? (a) 15 (b) 16 (c) 18 (d) 14
  30. 30.The mean of 4 numbers is 37. When the number 42 is added to them, what is the new mean? (a) 37 (b) 38 (c) 40 (d) 39
  31. 31.What is the mean of 19, 17, 11 and 5? (a) 12 (b) 15 (c) 13 (d) 14
  32. 32.What is the median of 23, 31, 5, 28 and 32? (a) 31 (b) 23 (c) 28 (d) 5
  33. 33.What is the mode of 17, 11, 9, 13, 11, 11 and 9? (a) 17 (b) 11 (c) 9 (d) 13
  34. 34.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 22
  35. 35.What is the median of 38, 7, 35, 10 and 22? (a) 35 (b) 23 (c) 10 (d) 22
  36. 36.What is the mean of 16, 11, 15 and 6? (a) 12 (b) 16 (c) 11 (d) 13
  37. 37.What is the mean of 12, 7, 12, 13 and 21? (a) 14 (b) 12 (c) 15 (d) 13
  38. 38.What is the mean of 2, 4, 17 and 9? (a) 9 (b) 8 (c) 7 (d) 10
  39. 39.What is the mean of 11, 5, 2 and 10? (a) 7 (b) 9 (c) 6 (d) 8
  40. 40.What is the median of 30, 2, 21, 19 and 11? (a) 21 (b) 19 (c) 20 (d) 11

Answer key

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

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