← 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 430 · 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 27, 10, 19, 31 and 16? (a) 27 (b) 20 (c) 16 (d) 19
  2. 2.What is the mode of 3, 1, 2, 1, 3, 3 and 11? (a) 1 (b) 11 (c) 3 (d) 2
  3. 3.What is the mode of 4, 10, 16, 10, 16, 8 and 10? (a) 8 (b) 4 (c) 16 (d) 10
  4. 4.What is the mean of 8, 5, 20, 3 and 14? (a) 12 (b) 10 (c) 11 (d) 9
  5. 5.What is the median of 23, 1, 12, 35, 37, 32 and 30? (a) 23 (b) 35 (c) 30 (d) 32
  6. 6.What is the median of 11, 34, 13, 12 and 37? (a) 13 (b) 12 (c) 34 (d) 14
  7. 7.What is the mean of 20, 5, 9, 10, 5 and 23? (a) 12 (b) 11 (c) 13 (d) 14
  8. 8.The mean of 9 numbers is 12. When the number 52 is added to them, what is the new mean? (a) 12 (b) 32 (c) 16 (d) 17
  9. 9.What is the mode of 17, 5, 7, 3, 7, 17 and 7? (a) 3 (b) 17 (c) 7 (d) 5
  10. 10.What is the mean of 12, 16, 6, 5 and 16? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.What is the mean of 16, 11, 16, 6 and 6? (a) 12 (b) 13 (c) 11 (d) 10
  12. 12.What is the mean of 4, 19, 9, 15, 13 and 24? (a) 14 (b) 13 (c) 12 (d) 15
  13. 13.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 17 (b) 22 (c) 37 (d) 21
  14. 14.What is the mean of 8, 19, 12, 9, 18 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  15. 15.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 20 (d) 19
  16. 16.What is the mode of 16, 2, 15, 6, 15, 15 and 16? (a) 2 (b) 6 (c) 15 (d) 16
  17. 17.What is the mean of 18, 12, 16 and 6? (a) 14 (b) 12 (c) 13 (d) 15
  18. 18.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 18 (b) 20 (c) 14 (d) 17
  19. 19.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  20. 20.What is the mode of 12, 2, 11, 6, 12, 12 and 6? (a) 11 (b) 6 (c) 2 (d) 12
  21. 21.What is the mode of 9, 3, 4, 4, 9, 15 and 9? (a) 15 (b) 4 (c) 9 (d) 3
  22. 22.What is the median of 12, 8, 13, 16 and 19? (a) 12 (b) 14 (c) 13 (d) 16
  23. 23.What is the median of 3, 38, 36, 5, 26, 28 and 20? (a) 28 (b) 26 (c) 5 (d) 20
  24. 24.The mean of 5 numbers is 28. When the number 34 is added to them, what is the new mean? (a) 31 (b) 29 (c) 28 (d) 30
  25. 25.What is the mean of 20, 3, 10, 9 and 13? (a) 13 (b) 11 (c) 12 (d) 10
  26. 26.What is the median of 3, 39, 36, 7, 9, 13 and 23? (a) 7 (b) 23 (c) 9 (d) 13
  27. 27.What is the mean of 18, 2, 4, 7, 8 and 9? (a) 10 (b) 9 (c) 7 (d) 8
  28. 28.What is the median of 2, 32, 31, 5 and 11? (a) 31 (b) 11 (c) 5 (d) 12
  29. 29.What is the mean of 7, 4, 7 and 10? (a) 9 (b) 7 (c) 8 (d) 6
  30. 30.What is the mean of 9, 6, 4 and 17? (a) 10 (b) 9 (c) 8 (d) 12
  31. 31.What is the mode of 11, 19, 5, 5, 11, 8 and 5? (a) 5 (b) 8 (c) 11 (d) 19
  32. 32.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 24 (b) 12 (c) 17 (d) 16
  33. 33.What is the median of 11, 30, 1, 12 and 36? (a) 1 (b) 18 (c) 30 (d) 12
  34. 34.What is the median of 28, 8, 31, 1 and 35? (a) 31 (b) 28 (c) 29 (d) 8
  35. 35.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 18 (b) 23 (c) 21 (d) 20
  36. 36.What is the mean of 16, 4, 13, 15, 7 and 5? (a) 12 (b) 11 (c) 10 (d) 9
  37. 37.What is the median of 32, 30, 16, 8 and 7? (a) 8 (b) 30 (c) 16 (d) 17
  38. 38.What is the mean of 2, 11, 9, 15 and 8? (a) 10 (b) 9 (c) 11 (d) 8
  39. 39.The mean of 6 numbers is 29. When the number 8 is added to them, what is the new mean? (a) 25 (b) 27 (c) 29 (d) 26
  40. 40.What is the mode of 6, 3, 7, 12, 3, 6 and 6? (a) 3 (b) 7 (c) 6 (d) 12

Answer key

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

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