← 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 457 · 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 2, 6, 11, 2, 14, 6 and 6? (a) 6 (b) 2 (c) 14 (d) 11
  2. 2.What is the mode of 19, 18, 18, 15, 1, 15 and 15? (a) 1 (b) 15 (c) 19 (d) 18
  3. 3.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 35 (b) 30 (c) 37 (d) 36
  4. 4.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 34 (b) 35 (c) 36 (d) 33
  5. 5.What is the mode of 4, 17, 10, 12, 10, 17 and 10? (a) 4 (b) 17 (c) 10 (d) 12
  6. 6.The mean of 3 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 20 (b) 17 (c) 16 (d) 12
  7. 7.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 32
  8. 8.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 46 (b) 41 (c) 37 (d) 40
  9. 9.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 16
  10. 10.What is the median of 33, 21, 39, 30, 7, 16 and 34? (a) 30 (b) 21 (c) 33 (d) 31
  11. 11.What is the mean of 7, 7, 16 and 6? (a) 9 (b) 10 (c) 8 (d) 12
  12. 12.What is the median of 2, 40, 17, 5, 8, 27 and 31? (a) 17 (b) 27 (c) 8 (d) 5
  13. 13.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 21 (b) 23 (c) 29 (d) 24
  14. 14.What is the median of 32, 39, 28, 36 and 10? (a) 32 (b) 29 (c) 28 (d) 36
  15. 15.What is the mean of 10, 4, 10 and 8? (a) 7 (b) 10 (c) 9 (d) 8
  16. 16.What is the median of 31, 7, 2, 20, 24, 39 and 13? (a) 21 (b) 13 (c) 24 (d) 20
  17. 17.What is the median of 1, 19, 23, 21 and 3? (a) 21 (b) 19 (c) 3 (d) 23
  18. 18.The mean of 4 numbers is 17. When the number 2 is added to them, what is the new mean? (a) 14 (b) 13 (c) 17 (d) 15
  19. 19.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 21 (b) 25 (c) 31 (d) 26
  20. 20.What is the mode of 5, 5, 11, 3, 19, 19 and 19? (a) 3 (b) 5 (c) 11 (d) 19
  21. 21.What is the mode of 14, 12, 14, 4, 10, 10 and 10? (a) 10 (b) 12 (c) 14 (d) 4
  22. 22.What is the mean of 3, 12, 4, 19 and 22? (a) 15 (b) 10 (c) 13 (d) 12
  23. 23.What is the mean of 13, 7, 6 and 6? (a) 10 (b) 9 (c) 8 (d) 7
  24. 24.What is the mean of 13, 13, 20, 13, 10 and 15? (a) 13 (b) 15 (c) 14 (d) 12
  25. 25.What is the mean of 14, 5, 2, 11, 8 and 20? (a) 9 (b) 12 (c) 10 (d) 11
  26. 26.The mean of 3 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 23 (b) 27 (c) 19 (d) 24
  27. 27.The mean of 4 numbers is 30. When the number 15 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 26
  28. 28.What is the mode of 20, 20, 12, 20, 18, 12 and 8? (a) 12 (b) 18 (c) 20 (d) 8
  29. 29.What is the median of 15, 17, 23, 1, 6, 11 and 38? (a) 1 (b) 17 (c) 11 (d) 15
  30. 30.What is the mode of 12, 18, 15, 1, 15, 15 and 12? (a) 18 (b) 12 (c) 15 (d) 1
  31. 31.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
  32. 32.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 17 (b) 20 (c) 29 (d) 21
  33. 33.What is the median of 24, 6, 31, 39 and 14? (a) 31 (b) 24 (c) 25 (d) 14
  34. 34.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 19 (b) 25 (c) 23 (d) 24
  35. 35.What is the mode of 16, 14, 5, 12, 5, 5 and 16? (a) 5 (b) 16 (c) 12 (d) 14
  36. 36.What is the median of 12, 34, 17, 31 and 9? (a) 12 (b) 31 (c) 18 (d) 17
  37. 37.What is the median of 12, 32, 26, 17 and 21? (a) 26 (b) 21 (c) 17 (d) 22
  38. 38.What is the mode of 7, 15, 15, 2, 7, 13 and 7? (a) 7 (b) 2 (c) 15 (d) 13
  39. 39.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 12 (b) 14 (c) 21 (d) 15
  40. 40.What is the median of 3, 6, 38, 22, 9, 34 and 1? (a) 22 (b) 10 (c) 6 (d) 9

Answer key

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

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