← 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 22 · 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 21, 37, 2, 38 and 22? (a) 24 (b) 37 (c) 22 (d) 2
  2. 2.What is the mean of 20, 17, 5 and 6? (a) 16 (b) 12 (c) 13 (d) 11
  3. 3.The mean of 7 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 16 (b) 17 (c) 9 (d) 15
  4. 4.What is the mean of 12, 20, 9, 16, 13 and 14? (a) 12 (b) 15 (c) 14 (d) 13
  5. 5.What is the mode of 18, 8, 8, 18, 4, 8 and 1? (a) 1 (b) 4 (c) 8 (d) 18
  6. 6.The mean of 7 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 19 (b) 11 (c) 18 (d) 17
  7. 7.What is the mean of 12, 20, 4 and 16? (a) 15 (b) 12 (c) 14 (d) 13
  8. 8.What is the median of 26, 15, 38, 7 and 27? (a) 26 (b) 15 (c) 27 (d) 38
  9. 9.What is the mode of 14, 14, 13, 4, 13, 13 and 12? (a) 12 (b) 4 (c) 13 (d) 14
  10. 10.What is the mode of 9, 9, 5, 4, 18, 18 and 18? (a) 5 (b) 18 (c) 4 (d) 9
  11. 11.The mean of 5 numbers is 17. When the number 11 is added to them, what is the new mean? (a) 14 (b) 17 (c) 16 (d) 15
  12. 12.What is the median of 14, 4, 24, 12 and 31? (a) 17 (b) 14 (c) 12 (d) 24
  13. 13.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  14. 14.What is the mean of 4, 3, 6, 8 and 9? (a) 7 (b) 8 (c) 6 (d) 5
  15. 15.What is the mean of 18, 20, 9, 17 and 11? (a) 17 (b) 14 (c) 15 (d) 16
  16. 16.What is the mode of 1, 18, 20, 1, 7, 18 and 1? (a) 18 (b) 20 (c) 7 (d) 1
  17. 17.What is the mode of 16, 5, 5, 16, 15, 5 and 1? (a) 1 (b) 5 (c) 15 (d) 16
  18. 18.What is the mode of 8, 9, 17, 17, 16, 17 and 16? (a) 8 (b) 17 (c) 16 (d) 9
  19. 19.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 40 (b) 49 (c) 41 (d) 37
  20. 20.What is the median of 11, 12, 18, 20, 6, 5 and 1? (a) 12 (b) 11 (c) 6 (d) 20
  21. 21.What is the mean of 6, 11, 9, 6, 6 and 4? (a) 6 (b) 8 (c) 7 (d) 9
  22. 22.What is the mean of 19, 13, 6 and 14? (a) 14 (b) 13 (c) 15 (d) 12
  23. 23.What is the mean of 14, 20, 9 and 13? (a) 15 (b) 16 (c) 14 (d) 13
  24. 24.What is the mean of 15, 16, 2 and 7? (a) 11 (b) 9 (c) 8 (d) 10
  25. 25.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 38 (b) 33 (c) 37 (d) 43
  26. 26.What is the mean of 9, 10, 4, 11, 12 and 20? (a) 12 (b) 11 (c) 13 (d) 10
  27. 27.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 12 (b) 13 (c) 10 (d) 18
  28. 28.What is the mean of 20, 15, 20, 9, 10 and 4? (a) 12 (b) 15 (c) 14 (d) 13
  29. 29.What is the median of 4, 30, 28, 10 and 2? (a) 10 (b) 28 (c) 4 (d) 11
  30. 30.What is the mode of 17, 19, 1, 19, 19, 15 and 17? (a) 17 (b) 15 (c) 1 (d) 19
  31. 31.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 36 (b) 33 (c) 22 (d) 32
  32. 32.What is the mode of 1, 13, 7, 1, 7, 1 and 11? (a) 7 (b) 1 (c) 13 (d) 11
  33. 33.What is the mode of 5, 1, 6, 11, 6, 6 and 1? (a) 1 (b) 11 (c) 5 (d) 6
  34. 34.What is the median of 26, 22, 15, 4 and 23? (a) 23 (b) 22 (c) 18 (d) 15
  35. 35.What is the median of 4, 22, 13, 37 and 16? (a) 17 (b) 13 (c) 16 (d) 22
  36. 36.What is the mode of 16, 14, 1, 1, 9, 9 and 9? (a) 16 (b) 14 (c) 9 (d) 1
  37. 37.What is the mean of 2, 10, 3 and 21? (a) 9 (b) 12 (c) 8 (d) 10
  38. 38.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 8 (b) 10 (c) 12 (d) 11
  39. 39.What is the mean of 6, 15, 18, 13, 8 and 12? (a) 11 (b) 12 (c) 14 (d) 13
  40. 40.What is the mean of 6, 3, 3 and 8? (a) 4 (b) 5 (c) 7 (d) 6

Answer key

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

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