← 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 95 · 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 5, 17, 14, 20, 20, 17 and 20? (a) 17 (b) 20 (c) 14 (d) 5
  2. 2.What is the mean of 7, 8, 19, 20 and 11? (a) 12 (b) 14 (c) 13 (d) 15
  3. 3.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 18
  4. 4.What is the mean of 5, 6, 17 and 12? (a) 8 (b) 9 (c) 11 (d) 10
  5. 5.What is the mean of 7, 2, 16 and 11? (a) 12 (b) 10 (c) 9 (d) 8
  6. 6.What is the median of 20, 21, 16, 30, 4, 25 and 36? (a) 21 (b) 25 (c) 20 (d) 30
  7. 7.What is the mean of 6, 19, 17, 8 and 20? (a) 14 (b) 16 (c) 13 (d) 15
  8. 8.What is the median of 11, 4, 23, 31, 20, 37 and 33? (a) 24 (b) 20 (c) 23 (d) 31
  9. 9.What is the mean of 8, 14, 6 and 16? (a) 13 (b) 10 (c) 12 (d) 11
  10. 10.What is the mode of 3, 3, 3, 11, 9, 6 and 9? (a) 9 (b) 6 (c) 3 (d) 11
  11. 11.What is the mean of 10, 12, 14, 15, 11 and 22? (a) 13 (b) 12 (c) 14 (d) 15
  12. 12.What is the mode of 3, 16, 16, 19, 3, 15 and 3? (a) 3 (b) 15 (c) 16 (d) 19
  13. 13.What is the median of 39, 35, 8, 26, 23, 37 and 34? (a) 35 (b) 26 (c) 33 (d) 34
  14. 14.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 20 (b) 19 (c) 26 (d) 17
  15. 15.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 40 (b) 37 (c) 36 (d) 28
  16. 16.What is the mode of 6, 5, 5, 5, 19, 2 and 6? (a) 19 (b) 5 (c) 6 (d) 2
  17. 17.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 22 (b) 13 (c) 21 (d) 20
  18. 18.What is the median of 21, 40, 26, 5, 36, 27 and 29? (a) 26 (b) 29 (c) 5 (d) 27
  19. 19.What is the mean of 2, 8, 7, 17 and 16? (a) 9 (b) 11 (c) 12 (d) 10
  20. 20.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 26
  21. 21.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 32 (b) 30 (c) 26 (d) 29
  22. 22.What is the median of 36, 22, 7, 25 and 32? (a) 7 (b) 25 (c) 32 (d) 22
  23. 23.What is the mode of 13, 5, 5, 5, 6, 3 and 6? (a) 5 (b) 13 (c) 6 (d) 3
  24. 24.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 22 (b) 17 (c) 16 (d) 12
  25. 25.What is the mode of 12, 12, 11, 1, 4, 12 and 1? (a) 1 (b) 11 (c) 4 (d) 12
  26. 26.The mean of 8 numbers is 38. When the number 47 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  27. 27.What is the mode of 2, 11, 17, 2, 2, 16 and 16? (a) 16 (b) 11 (c) 17 (d) 2
  28. 28.What is the median of 11, 30, 17, 39, 21, 5 and 23? (a) 21 (b) 17 (c) 39 (d) 23
  29. 29.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 8
  30. 30.What is the mode of 14, 2, 14, 10, 14, 12 and 12? (a) 12 (b) 10 (c) 14 (d) 2
  31. 31.What is the mean of 19, 5, 6, 16, 11 and 9? (a) 10 (b) 11 (c) 13 (d) 12
  32. 32.What is the mean of 5, 16, 14 and 9? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 37 (c) 22 (d) 36
  34. 34.What is the median of 14, 3, 27, 39 and 7? (a) 27 (b) 7 (c) 14 (d) 18
  35. 35.What is the mode of 2, 3, 4, 4, 1, 3 and 4? (a) 4 (b) 2 (c) 1 (d) 3
  36. 36.What is the mean of 4, 4, 20, 2 and 15? (a) 8 (b) 10 (c) 9 (d) 11
  37. 37.What is the mode of 14, 4, 4, 1, 8, 4 and 1? (a) 8 (b) 14 (c) 4 (d) 1
  38. 38.What is the mean of 20, 13, 7, 9, 7 and 22? (a) 14 (b) 13 (c) 12 (d) 15
  39. 39.What is the mean of 11, 11, 13 and 9? (a) 10 (b) 11 (c) 13 (d) 12
  40. 40.What is the mode of 10, 2, 10, 2, 19, 5 and 2? (a) 2 (b) 10 (c) 19 (d) 5

Answer key

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

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