← 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 374 · 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 6, 19, 16, 2, 20 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  2. 2.What is the median of 4, 34, 29, 12, 10, 3 and 14? (a) 14 (b) 12 (c) 13 (d) 10
  3. 3.The mean of 7 numbers is 26. When the number 58 is added to them, what is the new mean? (a) 42 (b) 26 (c) 31 (d) 30
  4. 4.What is the mode of 19, 19, 17, 1, 19, 12 and 1? (a) 17 (b) 1 (c) 19 (d) 12
  5. 5.The mean of 7 numbers is 33. When the number 1 is added to them, what is the new mean? (a) 29 (b) 17 (c) 30 (d) 33
  6. 6.What is the mode of 16, 5, 15, 15, 1, 5 and 5? (a) 15 (b) 1 (c) 5 (d) 16
  7. 7.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 21 (c) 29 (d) 30
  8. 8.What is the mean of 15, 20, 17, 20, 12 and 12? (a) 15 (b) 18 (c) 17 (d) 16
  9. 9.What is the mean of 19, 12, 3, 5, 3 and 6? (a) 9 (b) 10 (c) 8 (d) 7
  10. 10.What is the mean of 12, 12, 17 and 19? (a) 12 (b) 16 (c) 20 (d) 15
  11. 11.What is the mode of 3, 3, 15, 6, 3, 15 and 2? (a) 15 (b) 2 (c) 6 (d) 3
  12. 12.What is the mode of 6, 4, 2, 6, 2, 18 and 6? (a) 4 (b) 6 (c) 2 (d) 18
  13. 13.What is the mean of 8, 19, 2, 15 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  14. 14.What is the mean of 15, 8, 4 and 17? (a) 12 (b) 10 (c) 11 (d) 13
  15. 15.What is the mean of 12, 16, 18, 16 and 3? (a) 13 (b) 15 (c) 14 (d) 12
  16. 16.What is the mode of 7, 11, 15, 11, 18, 11 and 15? (a) 15 (b) 7 (c) 18 (d) 11
  17. 17.What is the mean of 3, 10, 2 and 21? (a) 8 (b) 9 (c) 10 (d) 12
  18. 18.What is the mode of 16, 18, 19, 11, 16, 11 and 16? (a) 19 (b) 11 (c) 18 (d) 16
  19. 19.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 12
  20. 20.What is the mean of 12, 9, 10 and 9? (a) 10 (b) 11 (c) 9 (d) 8
  21. 21.What is the median of 19, 23, 10, 15 and 36? (a) 23 (b) 10 (c) 19 (d) 15
  22. 22.What is the mean of 10, 8, 9, 6, 6 and 21? (a) 12 (b) 9 (c) 11 (d) 10
  23. 23.What is the median of 8, 7, 2, 37 and 21? (a) 2 (b) 15 (c) 21 (d) 8
  24. 24.What is the mean of 15, 16, 9, 20 and 15? (a) 15 (b) 16 (c) 14 (d) 17
  25. 25.What is the mode of 8, 8, 3, 12, 19, 12 and 12? (a) 8 (b) 3 (c) 12 (d) 19
  26. 26.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 27
  27. 27.What is the mode of 2, 8, 8, 6, 6, 5 and 6? (a) 2 (b) 5 (c) 8 (d) 6
  28. 28.What is the mode of 7, 12, 19, 7, 13, 12 and 7? (a) 12 (b) 13 (c) 7 (d) 19
  29. 29.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 30 (b) 15 (c) 10 (d) 14
  30. 30.What is the median of 8, 11, 1, 12 and 21? (a) 11 (b) 12 (c) 1 (d) 8
  31. 31.What is the mean of 6, 16, 6, 3 and 24? (a) 13 (b) 11 (c) 10 (d) 12
  32. 32.What is the mode of 10, 20, 10, 10, 15, 14 and 15? (a) 10 (b) 15 (c) 14 (d) 20
  33. 33.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 29 (b) 24 (c) 30 (d) 28
  34. 34.What is the median of 6, 9, 7, 31, 1, 12 and 25? (a) 31 (b) 12 (c) 13 (d) 9
  35. 35.What is the mean of 8, 6, 9, 6, 12 and 19? (a) 12 (b) 11 (c) 9 (d) 10
  36. 36.What is the mode of 10, 15, 15, 10, 16, 10 and 11? (a) 15 (b) 11 (c) 10 (d) 16
  37. 37.What is the mean of 19, 3, 7, 9 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  38. 38.What is the median of 13, 4, 37, 28, 27, 14 and 22? (a) 28 (b) 22 (c) 27 (d) 14
  39. 39.The mean of 6 numbers is 29. When the number 57 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 43
  40. 40.What is the median of 32, 3, 36, 4, 39, 28 and 24? (a) 28 (b) 24 (c) 4 (d) 32

Answer key

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

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