← 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 556 · 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 median of 23, 27, 32, 11, 12, 2 and 13? (a) 12 (b) 11 (c) 23 (d) 13
  2. 2.What is the median of 17, 28, 6, 31 and 35? (a) 6 (b) 31 (c) 17 (d) 28
  3. 3.The mean of 6 numbers is 36. When the number 43 is added to them, what is the new mean? (a) 36 (b) 38 (c) 37 (d) 39
  4. 4.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 31
  5. 5.What is the median of 8, 22, 24, 38, 37, 21 and 25? (a) 22 (b) 24 (c) 25 (d) 38
  6. 6.What is the mean of 14, 15, 11, 18, 14 and 6? (a) 12 (b) 13 (c) 15 (d) 14
  7. 7.What is the mean of 16, 13, 14, 4, 14 and 17? (a) 13 (b) 14 (c) 15 (d) 12
  8. 8.What is the mode of 16, 14, 5, 16, 5, 5 and 6? (a) 5 (b) 16 (c) 14 (d) 6
  9. 9.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 17 (d) 16
  10. 10.What is the mode of 13, 1, 13, 11, 11, 8 and 13? (a) 8 (b) 13 (c) 1 (d) 11
  11. 11.What is the mode of 19, 19, 18, 13, 19, 7 and 18? (a) 19 (b) 18 (c) 7 (d) 13
  12. 12.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 16
  13. 13.What is the mean of 18, 2, 5, 3 and 2? (a) 5 (b) 8 (c) 7 (d) 6
  14. 14.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 17
  15. 15.What is the mode of 14, 5, 12, 5, 14, 14 and 19? (a) 14 (b) 5 (c) 19 (d) 12
  16. 16.What is the mode of 3, 6, 6, 18, 8, 18 and 18? (a) 3 (b) 8 (c) 18 (d) 6
  17. 17.What is the median of 7, 34, 16, 12, 24, 39 and 2? (a) 12 (b) 24 (c) 16 (d) 17
  18. 18.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 31 (b) 33 (c) 29 (d) 32
  19. 19.What is the mean of 8, 15, 20, 7, 2 and 8? (a) 10 (b) 11 (c) 9 (d) 12
  20. 20.What is the median of 23, 40, 10, 22 and 8? (a) 21 (b) 22 (c) 23 (d) 10
  21. 21.What is the mean of 6, 4, 4 and 14? (a) 6 (b) 9 (c) 8 (d) 7
  22. 22.What is the mode of 7, 18, 18, 12, 12, 14 and 18? (a) 12 (b) 14 (c) 7 (d) 18
  23. 23.What is the mode of 10, 17, 17, 10, 10, 13 and 7? (a) 17 (b) 10 (c) 13 (d) 7
  24. 24.What is the mean of 13, 20, 7, 7, 18 and 7? (a) 12 (b) 14 (c) 13 (d) 11
  25. 25.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 19 (b) 31 (c) 29 (d) 28
  26. 26.What is the median of 36, 40, 15, 21 and 2? (a) 22 (b) 15 (c) 21 (d) 36
  27. 27.What is the mean of 13, 20, 12, 12, 6 and 21? (a) 13 (b) 14 (c) 15 (d) 12
  28. 28.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 10 (b) 26 (c) 14 (d) 15
  29. 29.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 36 (b) 41 (c) 35 (d) 32
  30. 30.What is the median of 31, 32, 37, 12, 4, 34 and 8? (a) 30 (b) 32 (c) 31 (d) 12
  31. 31.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 13 (c) 18 (d) 16
  32. 32.What is the mode of 18, 18, 5, 5, 2, 4 and 18? (a) 18 (b) 2 (c) 5 (d) 4
  33. 33.What is the mean of 3, 19, 20, 13, 15 and 8? (a) 14 (b) 13 (c) 12 (d) 15
  34. 34.The mean of 7 numbers is 24. When the number 48 is added to them, what is the new mean? (a) 24 (b) 28 (c) 36 (d) 27
  35. 35.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 43 (b) 41 (c) 42 (d) 40
  36. 36.What is the mean of 9, 7, 17, 14, 4 and 3? (a) 10 (b) 8 (c) 9 (d) 11
  37. 37.The mean of 8 numbers is 13. When the number 22 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 14
  38. 38.The mean of 3 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 19
  39. 39.What is the mode of 4, 20, 20, 4, 11, 20 and 7? (a) 11 (b) 7 (c) 4 (d) 20
  40. 40.What is the mode of 14, 14, 5, 14, 3, 18 and 3? (a) 5 (b) 18 (c) 14 (d) 3

Answer key

  1. 13
  2. 28
  3. 37
  4. 36
  5. 24
  6. 13
  7. 13
  8. 5
  9. 15
  10. 13
  11. 19
  12. 16
  13. 6
  14. 15
  15. 14
  16. 18
  17. 16
  18. 32
  19. 10
  20. 22
  21. 7
  22. 18
  23. 10
  24. 12
  25. 28
  26. 21
  27. 14
  28. 14
  29. 35
  30. 31
  31. 17
  32. 18
  33. 13
  34. 27
  35. 41
  36. 9
  37. 14
  38. 21
  39. 20
  40. 14

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