← 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 142 · 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 18, 23, 6, 4, 1, 10 and 9? (a) 9 (b) 10 (c) 6 (d) 4
  2. 2.What is the mean of 3, 17, 5, 12, 7 and 4? (a) 8 (b) 9 (c) 10 (d) 7
  3. 3.What is the mean of 19, 17, 9, 14, 15 and 16? (a) 18 (b) 15 (c) 14 (d) 16
  4. 4.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 15 (c) 18 (d) 17
  5. 5.What is the median of 40, 34, 17, 36 and 39? (a) 34 (b) 17 (c) 36 (d) 39
  6. 6.What is the median of 6, 19, 5, 14, 27, 28 and 3? (a) 6 (b) 19 (c) 15 (d) 14
  7. 7.What is the mean of 19, 4, 7 and 10? (a) 11 (b) 10 (c) 8 (d) 9
  8. 8.What is the mean of 13, 10, 13, 10 and 24? (a) 13 (b) 15 (c) 14 (d) 16
  9. 9.The mean of 9 numbers is 37. When the number 67 is added to them, what is the new mean? (a) 40 (b) 41 (c) 37 (d) 52
  10. 10.What is the median of 8, 28, 20, 9 and 4? (a) 10 (b) 9 (c) 20 (d) 8
  11. 11.The mean of 5 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 42
  12. 12.What is the mode of 2, 17, 5, 17, 5, 17 and 16? (a) 16 (b) 5 (c) 17 (d) 2
  13. 13.What is the mean of 9, 11, 9 and 19? (a) 13 (b) 11 (c) 12 (d) 16
  14. 14.What is the mean of 16, 20, 5, 12 and 22? (a) 16 (b) 14 (c) 17 (d) 15
  15. 15.What is the mean of 11, 20, 18, 17 and 9? (a) 14 (b) 17 (c) 16 (d) 15
  16. 16.What is the median of 10, 9, 12, 3, 15, 25 and 27? (a) 12 (b) 15 (c) 10 (d) 3
  17. 17.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 32
  18. 18.The mean of 5 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 35 (b) 29 (c) 36 (d) 38
  19. 19.What is the median of 27, 19, 15, 18, 6, 2 and 5? (a) 18 (b) 6 (c) 16 (d) 15
  20. 20.What is the mode of 16, 2, 11, 2, 2, 20 and 20? (a) 16 (b) 11 (c) 2 (d) 20
  21. 21.What is the median of 18, 2, 33, 15 and 19? (a) 18 (b) 33 (c) 15 (d) 19
  22. 22.What is the mean of 18, 13, 2 and 19? (a) 13 (b) 14 (c) 12 (d) 15
  23. 23.What is the mode of 4, 20, 4, 4, 15, 15 and 8? (a) 20 (b) 15 (c) 4 (d) 8
  24. 24.What is the mean of 2, 6, 2, 4 and 11? (a) 4 (b) 5 (c) 7 (d) 6
  25. 25.What is the median of 33, 1, 18, 28, 10, 27 and 36? (a) 28 (b) 26 (c) 18 (d) 27
  26. 26.What is the median of 28, 11, 20, 16 and 13? (a) 17 (b) 16 (c) 20 (d) 13
  27. 27.What is the median of 12, 1, 21, 24 and 9? (a) 12 (b) 21 (c) 13 (d) 9
  28. 28.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 38
  29. 29.What is the mode of 4, 9, 9, 9, 12, 8 and 4? (a) 9 (b) 8 (c) 4 (d) 12
  30. 30.What is the mean of 18, 15, 2, 20, 5 and 12? (a) 11 (b) 13 (c) 14 (d) 12
  31. 31.What is the mean of 11, 20, 6, 8 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  32. 32.What is the mode of 12, 9, 9, 7, 13, 7 and 7? (a) 7 (b) 9 (c) 12 (d) 13
  33. 33.What is the mean of 3, 15, 9 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  34. 34.What is the mean of 10, 15, 13, 12, 18 and 16? (a) 13 (b) 12 (c) 15 (d) 14
  35. 35.What is the mean of 5, 17, 19 and 23? (a) 15 (b) 18 (c) 17 (d) 16
  36. 36.What is the mode of 12, 7, 4, 4, 12, 13 and 4? (a) 12 (b) 13 (c) 7 (d) 4
  37. 37.The mean of 6 numbers is 31. When the number 38 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 32
  38. 38.What is the mean of 19, 10, 4 and 23? (a) 15 (b) 14 (c) 16 (d) 13
  39. 39.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 42 (b) 43 (c) 44 (d) 40
  40. 40.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 26

Answer key

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

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