← 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 668 · 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 17, 29, 3, 5, 1, 36 and 11? (a) 17 (b) 11 (c) 12 (d) 5
  2. 2.What is the mean of 18, 9, 7 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  3. 3.What is the mode of 2, 1, 1, 4, 3, 1 and 4? (a) 4 (b) 1 (c) 2 (d) 3
  4. 4.What is the median of 34, 22, 16, 17, 15, 10 and 4? (a) 16 (b) 17 (c) 15 (d) 18
  5. 5.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 29 (b) 32 (c) 28 (d) 22
  6. 6.What is the mode of 9, 9, 19, 19, 8, 1 and 19? (a) 19 (b) 8 (c) 1 (d) 9
  7. 7.What is the mode of 9, 9, 19, 11, 9, 14 and 11? (a) 14 (b) 19 (c) 11 (d) 9
  8. 8.The mean of 9 numbers is 38. When the number 78 is added to them, what is the new mean? (a) 42 (b) 38 (c) 58 (d) 43
  9. 9.What is the mean of 14, 11, 8, 13, 13 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  10. 10.What is the median of 5, 20, 14, 1 and 38? (a) 14 (b) 20 (c) 15 (d) 5
  11. 11.What is the mode of 1, 12, 3, 1, 20, 12 and 12? (a) 1 (b) 20 (c) 12 (d) 3
  12. 12.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 15 (b) 12 (c) 13 (d) 14
  13. 13.What is the median of 27, 4, 33, 31, 1, 12 and 21? (a) 31 (b) 12 (c) 27 (d) 21
  14. 14.What is the mean of 12, 8, 15, 10 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  15. 15.What is the mode of 10, 10, 10, 11, 18, 11 and 14? (a) 18 (b) 11 (c) 14 (d) 10
  16. 16.What is the mode of 6, 6, 2, 6, 7, 3 and 3? (a) 3 (b) 7 (c) 6 (d) 2
  17. 17.What is the median of 31, 23, 7, 37, 14, 10 and 20? (a) 23 (b) 14 (c) 37 (d) 20
  18. 18.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 40 (b) 28 (c) 37 (d) 36
  19. 19.What is the mode of 2, 2, 3, 16, 16, 2 and 7? (a) 3 (b) 16 (c) 2 (d) 7
  20. 20.What is the mean of 15, 19, 4, 20, 3 and 17? (a) 14 (b) 13 (c) 15 (d) 12
  21. 21.The mean of 9 numbers is 34. When the number 24 is added to them, what is the new mean? (a) 33 (b) 29 (c) 32 (d) 34
  22. 22.What is the mean of 18, 3, 17, 4, 6 and 6? (a) 9 (b) 10 (c) 8 (d) 11
  23. 23.What is the mean of 12, 4, 7 and 21? (a) 10 (b) 13 (c) 12 (d) 11
  24. 24.The mean of 7 numbers is 27. When the number 59 is added to them, what is the new mean? (a) 31 (b) 32 (c) 43 (d) 27
  25. 25.What is the mode of 20, 2, 16, 20, 7, 2 and 20? (a) 7 (b) 16 (c) 20 (d) 2
  26. 26.What is the mean of 2, 19, 19 and 8? (a) 16 (b) 11 (c) 13 (d) 12
  27. 27.What is the mode of 17, 7, 11, 20, 11, 17 and 17? (a) 7 (b) 20 (c) 17 (d) 11
  28. 28.What is the mean of 5, 14, 12 and 9? (a) 8 (b) 9 (c) 10 (d) 11
  29. 29.What is the median of 24, 9, 6, 39, 17, 28 and 5? (a) 24 (b) 39 (c) 9 (d) 17
  30. 30.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 22 (b) 38 (c) 35 (d) 34
  31. 31.What is the median of 15, 4, 11, 25, 2, 8 and 36? (a) 15 (b) 25 (c) 8 (d) 11
  32. 32.What is the mean of 14, 5, 20 and 21? (a) 12 (b) 15 (c) 20 (d) 16
  33. 33.What is the median of 9, 31, 13, 7, 38, 35 and 17? (a) 7 (b) 31 (c) 13 (d) 17
  34. 34.What is the median of 18, 10, 28, 35, 7, 17 and 8? (a) 17 (b) 35 (c) 10 (d) 18
  35. 35.What is the mode of 10, 16, 15, 15, 16, 16 and 11? (a) 11 (b) 10 (c) 15 (d) 16
  36. 36.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 31
  37. 37.What is the mean of 7, 19, 2, 3, 7 and 16? (a) 11 (b) 8 (c) 10 (d) 9
  38. 38.What is the mode of 4, 4, 17, 4, 5, 17 and 11? (a) 11 (b) 17 (c) 5 (d) 4
  39. 39.What is the median of 24, 28, 2, 4 and 21? (a) 4 (b) 21 (c) 2 (d) 24
  40. 40.What is the median of 14, 34, 21, 30 and 8? (a) 14 (b) 30 (c) 22 (d) 21

Answer key

  1. 11
  2. 11
  3. 1
  4. 16
  5. 28
  6. 19
  7. 9
  8. 42
  9. 13
  10. 14
  11. 12
  12. 13
  13. 21
  14. 13
  15. 10
  16. 6
  17. 20
  18. 36
  19. 2
  20. 13
  21. 33
  22. 9
  23. 11
  24. 31
  25. 20
  26. 12
  27. 17
  28. 10
  29. 17
  30. 34
  31. 11
  32. 15
  33. 17
  34. 17
  35. 16
  36. 30
  37. 9
  38. 4
  39. 21
  40. 21

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