← 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 450 · 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 7, 19, 7, 2, 2, 2 and 15? (a) 15 (b) 7 (c) 19 (d) 2
  2. 2.What is the mode of 4, 4, 4, 2, 5, 2 and 17? (a) 17 (b) 4 (c) 2 (d) 5
  3. 3.What is the mode of 13, 13, 4, 3, 2, 2 and 2? (a) 13 (b) 2 (c) 4 (d) 3
  4. 4.What is the median of 8, 23, 18, 27 and 11? (a) 11 (b) 19 (c) 23 (d) 18
  5. 5.What is the mean of 18, 17, 18 and 15? (a) 16 (b) 18 (c) 17 (d) 19
  6. 6.What is the mean of 2, 12, 20, 3 and 13? (a) 12 (b) 9 (c) 11 (d) 10
  7. 7.What is the mode of 7, 16, 7, 18, 9, 16 and 7? (a) 18 (b) 9 (c) 16 (d) 7
  8. 8.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 22 (c) 37 (d) 36
  9. 9.What is the mode of 12, 12, 4, 2, 12, 2 and 7? (a) 7 (b) 12 (c) 4 (d) 2
  10. 10.What is the mean of 6, 6, 16, 3, 20 and 15? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.What is the mean of 16, 6, 2, 18, 7 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  12. 12.The mean of 4 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 8 (c) 12 (d) 13
  13. 13.What is the mode of 3, 8, 18, 5, 3, 8 and 3? (a) 5 (b) 18 (c) 3 (d) 8
  14. 14.What is the median of 4, 8, 2, 11 and 20? (a) 9 (b) 11 (c) 2 (d) 8
  15. 15.What is the mode of 5, 5, 7, 5, 3, 17 and 17? (a) 17 (b) 3 (c) 7 (d) 5
  16. 16.The mean of 6 numbers is 26. When the number 40 is added to them, what is the new mean? (a) 29 (b) 26 (c) 33 (d) 28
  17. 17.What is the mode of 12, 2, 13, 2, 12, 12 and 4? (a) 12 (b) 2 (c) 13 (d) 4
  18. 18.What is the mode of 3, 20, 9, 9, 1, 20 and 20? (a) 3 (b) 9 (c) 1 (d) 20
  19. 19.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 38 (b) 23 (c) 27 (d) 26
  20. 20.What is the mode of 8, 8, 4, 1, 1, 13 and 1? (a) 4 (b) 13 (c) 1 (d) 8
  21. 21.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 25 (b) 29 (c) 30 (d) 39
  22. 22.What is the mode of 9, 9, 9, 18, 12, 17 and 12? (a) 12 (b) 18 (c) 9 (d) 17
  23. 23.What is the median of 7, 21, 28, 25, 8, 33 and 13? (a) 21 (b) 25 (c) 22 (d) 13
  24. 24.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 40 (b) 44 (c) 37 (d) 39
  25. 25.The mean of 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 20 (c) 14 (d) 21
  26. 26.What is the median of 2, 18, 12, 28, 17, 3 and 27? (a) 18 (b) 12 (c) 28 (d) 17
  27. 27.What is the median of 36, 12, 32, 11, 15, 14 and 29? (a) 11 (b) 29 (c) 14 (d) 15
  28. 28.What is the mode of 12, 17, 14, 17, 12, 4 and 12? (a) 17 (b) 4 (c) 12 (d) 14
  29. 29.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 30 (b) 29 (c) 33 (d) 31
  30. 30.What is the median of 23, 10, 8, 2, 36, 21 and 19? (a) 2 (b) 17 (c) 19 (d) 21
  31. 31.What is the mode of 3, 3, 2, 11, 2, 9 and 2? (a) 11 (b) 2 (c) 9 (d) 3
  32. 32.What is the mode of 9, 14, 14, 3, 3, 14 and 7? (a) 9 (b) 7 (c) 3 (d) 14
  33. 33.What is the median of 33, 2, 22, 19 and 5? (a) 19 (b) 5 (c) 22 (d) 20
  34. 34.What is the median of 16, 25, 14, 28, 26, 33 and 4? (a) 16 (b) 26 (c) 25 (d) 28
  35. 35.What is the mode of 3, 6, 6, 6, 14, 3 and 20? (a) 6 (b) 3 (c) 14 (d) 20
  36. 36.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 13 (b) 19 (c) 14 (d) 11
  37. 37.What is the mode of 11, 10, 6, 11, 1, 11 and 10? (a) 6 (b) 10 (c) 1 (d) 11
  38. 38.What is the mode of 6, 15, 6, 6, 10, 10 and 2? (a) 10 (b) 15 (c) 2 (d) 6
  39. 39.What is the mode of 4, 20, 9, 20, 9, 20 and 8? (a) 9 (b) 20 (c) 4 (d) 8
  40. 40.What is the median of 6, 36, 32, 33 and 19? (a) 19 (b) 31 (c) 33 (d) 32

Answer key

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

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