← 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 78 · 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 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 20 (b) 14 (c) 22 (d) 21
  2. 2.What is the mean of 10, 4, 14 and 8? (a) 10 (b) 8 (c) 9 (d) 12
  3. 3.What is the median of 24, 1, 27, 18, 31, 14 and 5? (a) 19 (b) 18 (c) 14 (d) 24
  4. 4.What is the mode of 5, 8, 8, 8, 5, 1 and 11? (a) 1 (b) 8 (c) 5 (d) 11
  5. 5.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 23
  6. 6.What is the mean of 6, 8, 6 and 20? (a) 8 (b) 11 (c) 9 (d) 10
  7. 7.What is the mode of 17, 5, 16, 17, 16, 16 and 10? (a) 17 (b) 16 (c) 5 (d) 10
  8. 8.What is the mean of 11, 10, 12 and 19? (a) 12 (b) 13 (c) 15 (d) 14
  9. 9.What is the mode of 20, 2, 17, 2, 13, 13 and 13? (a) 17 (b) 13 (c) 2 (d) 20
  10. 10.What is the median of 36, 20, 32, 15, 37, 8 and 17? (a) 15 (b) 20 (c) 17 (d) 32
  11. 11.The mean of 7 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 29 (b) 28 (c) 30 (d) 22
  12. 12.What is the median of 18, 24, 14, 5, 9, 35 and 6? (a) 5 (b) 18 (c) 14 (d) 9
  13. 13.What is the median of 13, 3, 33, 30, 25, 2 and 38? (a) 25 (b) 30 (c) 26 (d) 13
  14. 14.What is the mean of 3, 5, 9 and 7? (a) 8 (b) 7 (c) 5 (d) 6
  15. 15.What is the median of 38, 14, 6, 24 and 7? (a) 24 (b) 6 (c) 14 (d) 7
  16. 16.The mean of 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 10 (b) 8 (c) 11 (d) 9
  17. 17.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 43 (b) 39 (c) 53 (d) 44
  18. 18.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 27 (b) 26 (c) 23 (d) 28
  19. 19.The mean of 9 numbers is 37. When the number 77 is added to them, what is the new mean? (a) 41 (b) 42 (c) 37 (d) 57
  20. 20.The mean of 3 numbers is 21. When the number 33 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 21
  21. 21.The mean of 3 numbers is 27. When the number 11 is added to them, what is the new mean? (a) 19 (b) 23 (c) 27 (d) 24
  22. 22.What is the mode of 11, 6, 6, 6, 5, 8 and 8? (a) 11 (b) 8 (c) 5 (d) 6
  23. 23.What is the median of 28, 35, 11, 36, 13, 10 and 9? (a) 36 (b) 28 (c) 11 (d) 13
  24. 24.The mean of 5 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 15 (b) 27 (c) 23 (d) 24
  25. 25.What is the mode of 5, 7, 20, 10, 20, 7 and 20? (a) 20 (b) 5 (c) 10 (d) 7
  26. 26.What is the mode of 15, 4, 2, 15, 1, 2 and 2? (a) 15 (b) 4 (c) 1 (d) 2
  27. 27.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 15 (b) 17 (c) 13 (d) 14
  28. 28.What is the mean of 12, 15, 10, 13 and 10? (a) 10 (b) 13 (c) 15 (d) 12
  29. 29.What is the mean of 19, 19, 3 and 19? (a) 20 (b) 16 (c) 15 (d) 12
  30. 30.What is the mean of 18, 18, 9, 15, 6 and 18? (a) 15 (b) 14 (c) 13 (d) 12
  31. 31.What is the median of 34, 10, 37, 2 and 32? (a) 32 (b) 37 (c) 34 (d) 23
  32. 32.What is the mode of 16, 12, 16, 14, 12, 12 and 6? (a) 16 (b) 6 (c) 12 (d) 14
  33. 33.What is the mode of 18, 17, 12, 17, 16, 17 and 18? (a) 17 (b) 18 (c) 16 (d) 12
  34. 34.What is the mean of 11, 18, 12, 18 and 16? (a) 16 (b) 15 (c) 17 (d) 14
  35. 35.What is the median of 11, 13, 23, 16, 6, 10 and 21? (a) 13 (b) 11 (c) 16 (d) 14
  36. 36.What is the mode of 10, 4, 11, 4, 14, 11 and 11? (a) 11 (b) 10 (c) 14 (d) 4
  37. 37.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 10 (b) 13 (c) 19 (d) 12
  38. 38.The mean of 3 numbers is 29. When the number 25 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 29
  39. 39.What is the mode of 5, 20, 5, 5, 1, 18 and 1? (a) 18 (b) 5 (c) 20 (d) 1
  40. 40.The mean of 6 numbers is 33. When the number 40 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 34

Answer key

  1. 20
  2. 9
  3. 18
  4. 8
  5. 23
  6. 10
  7. 16
  8. 13
  9. 13
  10. 20
  11. 28
  12. 14
  13. 25
  14. 6
  15. 14
  16. 9
  17. 43
  18. 26
  19. 41
  20. 24
  21. 23
  22. 6
  23. 13
  24. 23
  25. 20
  26. 2
  27. 14
  28. 12
  29. 15
  30. 14
  31. 32
  32. 12
  33. 17
  34. 15
  35. 13
  36. 11
  37. 12
  38. 28
  39. 5
  40. 34

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