← 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 525 · 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 19, 16, 14, 17, 9 and 15? (a) 14 (b) 16 (c) 18 (d) 15
  2. 2.What is the mode of 20, 4, 15, 11, 20, 20 and 15? (a) 4 (b) 15 (c) 20 (d) 11
  3. 3.What is the median of 5, 32, 24, 25 and 4? (a) 18 (b) 25 (c) 24 (d) 5
  4. 4.What is the mode of 20, 13, 13, 5, 20, 13 and 10? (a) 13 (b) 10 (c) 5 (d) 20
  5. 5.What is the mean of 10, 16, 5, 3, 8 and 18? (a) 10 (b) 12 (c) 9 (d) 11
  6. 6.What is the median of 29, 24, 23, 3 and 9? (a) 24 (b) 22 (c) 9 (d) 23
  7. 7.What is the mean of 19, 16, 10, 4, 12 and 23? (a) 13 (b) 14 (c) 15 (d) 12
  8. 8.What is the mode of 19, 19, 19, 20, 1, 2 and 20? (a) 2 (b) 1 (c) 19 (d) 20
  9. 9.What is the mode of 15, 11, 5, 15, 5, 6 and 5? (a) 11 (b) 5 (c) 6 (d) 15
  10. 10.What is the median of 33, 3, 10, 37 and 29? (a) 10 (b) 33 (c) 29 (d) 30
  11. 11.The mean of 4 numbers is 11. When the number 26 is added to them, what is the new mean? (a) 13 (b) 14 (c) 11 (d) 15
  12. 12.What is the mode of 10, 10, 11, 10, 14, 14 and 20? (a) 14 (b) 20 (c) 11 (d) 10
  13. 13.The mean of 8 numbers is 11. When the number 20 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 11
  14. 14.What is the median of 27, 19, 28, 36 and 31? (a) 28 (b) 31 (c) 27 (d) 29
  15. 15.What is the median of 38, 19, 17, 14 and 32? (a) 17 (b) 24 (c) 19 (d) 32
  16. 16.What is the mode of 1, 9, 1, 7, 3, 3 and 1? (a) 9 (b) 1 (c) 7 (d) 3
  17. 17.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 20 (b) 18 (c) 23 (d) 21
  18. 18.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 23 (b) 35 (c) 19 (d) 24
  19. 19.What is the mode of 10, 5, 3, 3, 10, 20 and 3? (a) 3 (b) 10 (c) 20 (d) 5
  20. 20.The mean of 6 numbers is 19. When the number 5 is added to them, what is the new mean? (a) 12 (b) 19 (c) 17 (d) 18
  21. 21.What is the mode of 3, 9, 9, 20, 8, 8 and 8? (a) 3 (b) 20 (c) 8 (d) 9
  22. 22.What is the mean of 11, 3, 4, 12 and 20? (a) 9 (b) 11 (c) 12 (d) 10
  23. 23.What is the mode of 20, 2, 9, 6, 2, 9 and 9? (a) 2 (b) 20 (c) 9 (d) 6
  24. 24.What is the median of 31, 27, 4, 21, 35, 8 and 37? (a) 28 (b) 21 (c) 31 (d) 27
  25. 25.The mean of 9 numbers is 39. When the number 79 is added to them, what is the new mean? (a) 59 (b) 44 (c) 43 (d) 39
  26. 26.What is the mode of 3, 4, 4, 11, 11, 20 and 11? (a) 20 (b) 3 (c) 4 (d) 11
  27. 27.What is the mean of 11, 18, 9, 16, 12 and 24? (a) 15 (b) 16 (c) 18 (d) 14
  28. 28.What is the mode of 5, 6, 4, 6, 6, 5 and 18? (a) 4 (b) 18 (c) 5 (d) 6
  29. 29.What is the mode of 7, 6, 6, 9, 15, 6 and 15? (a) 7 (b) 9 (c) 6 (d) 15
  30. 30.What is the median of 15, 25, 22, 39 and 2? (a) 15 (b) 22 (c) 23 (d) 25
  31. 31.What is the mode of 6, 6, 9, 20, 4, 20 and 20? (a) 6 (b) 20 (c) 4 (d) 9
  32. 32.What is the mode of 12, 13, 11, 1, 11, 11 and 1? (a) 12 (b) 13 (c) 11 (d) 1
  33. 33.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 28 (b) 30 (c) 31 (d) 29
  34. 34.What is the mode of 14, 9, 14, 17, 3, 14 and 17? (a) 14 (b) 3 (c) 9 (d) 17
  35. 35.What is the median of 10, 38, 29, 15, 13, 9 and 8? (a) 15 (b) 10 (c) 13 (d) 14
  36. 36.What is the median of 7, 34, 24, 27 and 37? (a) 28 (b) 27 (c) 24 (d) 34
  37. 37.What is the mean of 15, 17, 14, 5 and 14? (a) 15 (b) 12 (c) 13 (d) 14
  38. 38.What is the median of 37, 30, 2, 12, 1, 27 and 11? (a) 11 (b) 12 (c) 13 (d) 27
  39. 39.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 11 (b) 21 (c) 18 (d) 17
  40. 40.What is the mean of 16, 15, 9, 20 and 20? (a) 20 (b) 17 (c) 16 (d) 15

Answer key

  1. 15
  2. 20
  3. 24
  4. 13
  5. 10
  6. 23
  7. 14
  8. 19
  9. 5
  10. 29
  11. 14
  12. 10
  13. 12
  14. 28
  15. 19
  16. 1
  17. 20
  18. 23
  19. 3
  20. 17
  21. 8
  22. 10
  23. 9
  24. 27
  25. 43
  26. 11
  27. 15
  28. 6
  29. 6
  30. 22
  31. 20
  32. 11
  33. 29
  34. 14
  35. 13
  36. 27
  37. 13
  38. 12
  39. 17
  40. 16

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