← 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 269 · 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.The mean of 8 numbers is 35. When the number 8 is added to them, what is the new mean? (a) 31 (b) 33 (c) 32 (d) 35
  2. 2.What is the mean of 7, 15, 10, 12, 7 and 9? (a) 12 (b) 9 (c) 11 (d) 10
  3. 3.What is the mode of 4, 9, 1, 8, 1, 9 and 1? (a) 9 (b) 1 (c) 4 (d) 8
  4. 4.What is the mode of 2, 7, 16, 16, 16, 10 and 2? (a) 10 (b) 2 (c) 16 (d) 7
  5. 5.What is the median of 14, 26, 28, 15 and 31? (a) 26 (b) 15 (c) 27 (d) 28
  6. 6.What is the mode of 2, 16, 16, 13, 16, 7 and 2? (a) 7 (b) 16 (c) 2 (d) 13
  7. 7.What is the mean of 10, 17, 3 and 6? (a) 10 (b) 12 (c) 8 (d) 9
  8. 8.What is the median of 3, 32, 1, 25 and 28? (a) 1 (b) 3 (c) 25 (d) 28
  9. 9.What is the mode of 13, 15, 13, 1, 14, 1 and 13? (a) 1 (b) 14 (c) 15 (d) 13
  10. 10.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 33
  11. 11.What is the mode of 7, 7, 18, 6, 6, 19 and 6? (a) 7 (b) 6 (c) 19 (d) 18
  12. 12.The mean of 3 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 14 (b) 10 (c) 18 (d) 15
  13. 13.What is the mean of 10, 14, 4, 16, 9 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  14. 14.What is the mean of 10, 3, 2, 9 and 16? (a) 10 (b) 7 (c) 9 (d) 8
  15. 15.What is the median of 39, 30, 16, 2 and 18? (a) 30 (b) 18 (c) 21 (d) 16
  16. 16.What is the mode of 16, 18, 16, 4, 18, 9 and 18? (a) 9 (b) 4 (c) 16 (d) 18
  17. 17.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 30 (b) 39 (c) 36 (d) 37
  18. 18.What is the median of 18, 9, 33, 28, 21, 37 and 32? (a) 32 (b) 29 (c) 21 (d) 28
  19. 19.The mean of 3 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 18
  20. 20.What is the mode of 10, 10, 12, 11, 9, 10 and 9? (a) 12 (b) 10 (c) 11 (d) 9
  21. 21.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20
  22. 22.What is the median of 2, 37, 39, 26, 1, 20 and 6? (a) 21 (b) 20 (c) 26 (d) 6
  23. 23.What is the mean of 14, 4, 15, 12 and 15? (a) 13 (b) 12 (c) 10 (d) 15
  24. 24.The mean of 8 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 30 (b) 33 (c) 32 (d) 39
  25. 25.What is the median of 5, 16, 15, 35, 7, 10 and 2? (a) 7 (b) 35 (c) 15 (d) 10
  26. 26.What is the median of 33, 25, 4, 11 and 37? (a) 33 (b) 4 (c) 22 (d) 25
  27. 27.What is the median of 25, 12, 5, 2 and 11? (a) 10 (b) 5 (c) 11 (d) 12
  28. 28.What is the mode of 5, 5, 7, 12, 5, 6 and 12? (a) 7 (b) 5 (c) 6 (d) 12
  29. 29.What is the mean of 13, 19, 7 and 17? (a) 16 (b) 14 (c) 13 (d) 15
  30. 30.What is the median of 22, 4, 35, 11 and 10? (a) 22 (b) 10 (c) 11 (d) 35
  31. 31.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 9 (b) 7 (c) 10 (d) 11
  32. 32.What is the mean of 7, 10, 2 and 17? (a) 10 (b) 12 (c) 8 (d) 9
  33. 33.What is the mean of 3, 3, 19, 5, 20 and 22? (a) 11 (b) 12 (c) 13 (d) 14
  34. 34.What is the mode of 15, 16, 16, 5, 16, 4 and 4? (a) 4 (b) 16 (c) 5 (d) 15
  35. 35.What is the mean of 6, 7, 17, 10 and 15? (a) 10 (b) 13 (c) 12 (d) 11
  36. 36.What is the mean of 15, 18, 11, 2 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  37. 37.What is the mean of 11, 4, 14 and 15? (a) 11 (b) 10 (c) 13 (d) 12
  38. 38.What is the mean of 5, 8, 13, 2, 19 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  39. 39.What is the median of 10, 27, 29, 3 and 8? (a) 29 (b) 27 (c) 8 (d) 10
  40. 40.What is the mode of 15, 16, 15, 19, 19, 19 and 10? (a) 10 (b) 16 (c) 15 (d) 19

Answer key

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

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