← 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 16 · 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 12, 7, 17, 19, 19, 19 and 7? (a) 7 (b) 19 (c) 12 (d) 17
  2. 2.What is the mode of 14, 6, 14, 11, 6, 12 and 14? (a) 14 (b) 11 (c) 12 (d) 6
  3. 3.The mean of 5 numbers is 38. When the number 44 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 41
  4. 4.What is the mode of 11, 5, 4, 11, 12, 12 and 11? (a) 12 (b) 5 (c) 4 (d) 11
  5. 5.What is the median of 37, 28, 40, 4 and 17? (a) 28 (b) 40 (c) 37 (d) 17
  6. 6.What is the mode of 15, 14, 12, 11, 11, 11 and 12? (a) 11 (b) 15 (c) 12 (d) 14
  7. 7.What is the mean of 8, 15, 5, 18, 8 and 18? (a) 11 (b) 12 (c) 13 (d) 14
  8. 8.What is the mean of 7, 13, 8, 15 and 7? (a) 9 (b) 11 (c) 10 (d) 12
  9. 9.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 14
  10. 10.What is the mode of 16, 19, 8, 2, 8, 19 and 8? (a) 2 (b) 16 (c) 8 (d) 19
  11. 11.What is the mean of 13, 11, 14, 15 and 12? (a) 12 (b) 13 (c) 15 (d) 14
  12. 12.What is the median of 12, 1, 2, 37 and 32? (a) 2 (b) 12 (c) 13 (d) 32
  13. 13.What is the mean of 4, 17, 16 and 19? (a) 14 (b) 16 (c) 13 (d) 15
  14. 14.What is the mean of 11, 5, 20 and 8? (a) 11 (b) 13 (c) 12 (d) 10
  15. 15.What is the mode of 12, 5, 5, 4, 5, 4 and 9? (a) 4 (b) 5 (c) 12 (d) 9
  16. 16.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 28 (c) 26 (d) 27
  17. 17.What is the mean of 13, 6, 20, 7, 6 and 20? (a) 13 (b) 11 (c) 14 (d) 12
  18. 18.What is the mean of 20, 16, 16, 13, 15 and 16? (a) 15 (b) 16 (c) 18 (d) 17
  19. 19.The mean of 7 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 23 (c) 21 (d) 22
  20. 20.What is the mean of 12, 2, 2, 13, 10 and 21? (a) 10 (b) 12 (c) 11 (d) 9
  21. 21.What is the median of 30, 7, 9, 35, 28, 24 and 32? (a) 24 (b) 30 (c) 35 (d) 28
  22. 22.The mean of 6 numbers is 35. When the number 21 is added to them, what is the new mean? (a) 34 (b) 28 (c) 35 (d) 33
  23. 23.The mean of 7 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 18 (b) 23 (c) 17 (d) 15
  24. 24.What is the median of 3, 36, 1, 37 and 32? (a) 32 (b) 3 (c) 36 (d) 1
  25. 25.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 20 (b) 21 (c) 22 (d) 24
  26. 26.What is the mean of 14, 16, 9, 17 and 19? (a) 14 (b) 17 (c) 16 (d) 15
  27. 27.What is the mean of 18, 20, 8, 19, 15 and 10? (a) 15 (b) 18 (c) 14 (d) 16
  28. 28.What is the median of 1, 7, 22, 3 and 17? (a) 10 (b) 17 (c) 22 (d) 7
  29. 29.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 14 (b) 18 (c) 26 (d) 17
  30. 30.What is the mode of 1, 9, 5, 5, 5, 9 and 19? (a) 19 (b) 5 (c) 1 (d) 9
  31. 31.What is the mode of 9, 7, 20, 7, 20, 6 and 7? (a) 20 (b) 9 (c) 7 (d) 6
  32. 32.What is the mode of 1, 5, 1, 1, 17, 17 and 8? (a) 8 (b) 5 (c) 17 (d) 1
  33. 33.What is the mode of 15, 1, 15, 3, 1, 7 and 15? (a) 7 (b) 1 (c) 3 (d) 15
  34. 34.What is the mode of 18, 9, 13, 18, 9, 9 and 7? (a) 9 (b) 18 (c) 13 (d) 7
  35. 35.What is the mean of 15, 6, 11 and 16? (a) 16 (b) 11 (c) 12 (d) 13
  36. 36.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 19 (b) 22 (c) 27 (d) 21
  37. 37.What is the mean of 12, 5, 13 and 18? (a) 11 (b) 16 (c) 13 (d) 12
  38. 38.What is the mode of 20, 6, 15, 13, 6, 13 and 13? (a) 6 (b) 20 (c) 13 (d) 15
  39. 39.What is the median of 37, 11, 24, 20, 36, 15 and 34? (a) 24 (b) 20 (c) 34 (d) 25
  40. 40.What is the mean of 19, 17, 4, 20, 16 and 20? (a) 16 (b) 17 (c) 18 (d) 15

Answer key

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

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