← 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 765 · 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 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 12
  2. 2.What is the median of 16, 28, 17, 29 and 13? (a) 17 (b) 28 (c) 18 (d) 16
  3. 3.What is the mean of 16, 12, 6, 14, 15 and 9? (a) 13 (b) 11 (c) 12 (d) 14
  4. 4.What is the mean of 18, 4, 15, 4 and 9? (a) 12 (b) 11 (c) 10 (d) 9
  5. 5.What is the mean of 10, 5, 5, 17 and 13? (a) 10 (b) 9 (c) 11 (d) 12
  6. 6.The mean of 3 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 27 (b) 31 (c) 28 (d) 23
  7. 7.What is the median of 26, 8, 19, 12, 2, 30 and 35? (a) 20 (b) 19 (c) 12 (d) 26
  8. 8.What is the median of 17, 2, 39, 25 and 30? (a) 39 (b) 30 (c) 17 (d) 25
  9. 9.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 32 (b) 25 (c) 33 (d) 31
  10. 10.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  11. 11.What is the mode of 17, 17, 11, 10, 17, 14 and 14? (a) 11 (b) 17 (c) 10 (d) 14
  12. 12.What is the mode of 12, 6, 6, 14, 12, 13 and 12? (a) 12 (b) 14 (c) 6 (d) 13
  13. 13.What is the mode of 16, 5, 14, 19, 14, 5 and 14? (a) 14 (b) 19 (c) 16 (d) 5
  14. 14.What is the mode of 18, 5, 13, 13, 8, 5 and 5? (a) 8 (b) 18 (c) 13 (d) 5
  15. 15.The mean of 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 34 (b) 25 (c) 33 (d) 32
  16. 16.What is the mode of 3, 12, 12, 12, 3, 6 and 10? (a) 3 (b) 10 (c) 12 (d) 6
  17. 17.What is the mean of 12, 8, 19 and 5? (a) 13 (b) 11 (c) 10 (d) 12
  18. 18.What is the median of 19, 15, 8, 3, 9, 11 and 24? (a) 3 (b) 15 (c) 11 (d) 9
  19. 19.The mean of 3 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 19 (b) 23 (c) 20 (d) 15
  20. 20.What is the mode of 20, 20, 1, 18, 20, 6 and 6? (a) 1 (b) 20 (c) 18 (d) 6
  21. 21.What is the mode of 8, 8, 10, 10, 5, 14 and 10? (a) 14 (b) 5 (c) 10 (d) 8
  22. 22.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 26 (b) 31 (c) 33 (d) 32
  23. 23.What is the mean of 4, 6, 17, 7, 6 and 8? (a) 8 (b) 7 (c) 9 (d) 10
  24. 24.What is the mode of 18, 8, 18, 19, 19, 13 and 19? (a) 8 (b) 19 (c) 18 (d) 13
  25. 25.What is the mode of 1, 8, 16, 3, 8, 16 and 8? (a) 3 (b) 1 (c) 8 (d) 16
  26. 26.What is the median of 7, 36, 24, 16 and 13? (a) 17 (b) 13 (c) 16 (d) 24
  27. 27.The mean of 7 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 45
  28. 28.The mean of 7 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 28 (b) 36 (c) 31 (d) 30
  29. 29.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 31
  30. 30.What is the mean of 5, 10, 14 and 7? (a) 12 (b) 9 (c) 8 (d) 10
  31. 31.What is the median of 22, 31, 4, 25, 3, 34 and 33? (a) 22 (b) 31 (c) 26 (d) 25
  32. 32.What is the mean of 7, 12, 8, 12 and 11? (a) 9 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 34, 11, 23, 14, 3, 29 and 26? (a) 20 (b) 26 (c) 14 (d) 23
  34. 34.What is the mean of 11, 16, 12, 5, 14 and 20? (a) 15 (b) 12 (c) 13 (d) 14
  35. 35.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 24 (b) 26 (c) 22 (d) 23
  36. 36.What is the median of 22, 9, 2, 10, 26, 18 and 6? (a) 18 (b) 10 (c) 9 (d) 11
  37. 37.What is the median of 19, 2, 38, 33 and 30? (a) 19 (b) 38 (c) 33 (d) 30
  38. 38.What is the mean of 17, 2, 11 and 22? (a) 15 (b) 14 (c) 12 (d) 13
  39. 39.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 18
  40. 40.What is the mean of 5, 11, 6 and 14? (a) 9 (b) 8 (c) 10 (d) 12

Answer key

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

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