← 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 807 · 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 26, 25, 31, 32, 36, 5 and 17? (a) 26 (b) 25 (c) 32 (d) 31
  2. 2.What is the median of 35, 7, 27, 12 and 20? (a) 21 (b) 12 (c) 20 (d) 27
  3. 3.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 13 (b) 14 (c) 11 (d) 12
  4. 4.What is the mode of 8, 3, 8, 3, 7, 17 and 3? (a) 7 (b) 3 (c) 8 (d) 17
  5. 5.The mean of 8 numbers is 25. When the number 52 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 29
  6. 6.What is the mean of 9, 9, 6 and 20? (a) 12 (b) 10 (c) 13 (d) 11
  7. 7.What is the mean of 11, 13, 4, 3 and 19? (a) 10 (b) 12 (c) 9 (d) 11
  8. 8.What is the median of 4, 32, 11, 5, 13, 7 and 17? (a) 7 (b) 13 (c) 5 (d) 11
  9. 9.What is the mean of 3, 19, 7, 5, 10 and 16? (a) 10 (b) 12 (c) 9 (d) 11
  10. 10.What is the mean of 13, 3, 14, 18, 7 and 17? (a) 11 (b) 14 (c) 12 (d) 13
  11. 11.What is the median of 35, 36, 13, 12, 5, 9 and 22? (a) 22 (b) 12 (c) 14 (d) 13
  12. 12.What is the mode of 15, 17, 17, 7, 18, 15 and 15? (a) 17 (b) 18 (c) 7 (d) 15
  13. 13.What is the mode of 5, 17, 17, 5, 14, 2 and 5? (a) 2 (b) 5 (c) 17 (d) 14
  14. 14.What is the median of 4, 8, 12, 9, 19, 7 and 29? (a) 10 (b) 9 (c) 8 (d) 12
  15. 15.What is the mean of 7, 9, 5 and 7? (a) 6 (b) 7 (c) 9 (d) 8
  16. 16.What is the mode of 7, 7, 16, 2, 7, 16 and 19? (a) 7 (b) 16 (c) 19 (d) 2
  17. 17.What is the median of 12, 30, 40, 5 and 26? (a) 26 (b) 12 (c) 40 (d) 30
  18. 18.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 46 (b) 36 (c) 41 (d) 40
  19. 19.What is the mean of 6, 19, 19, 11 and 15? (a) 13 (b) 14 (c) 15 (d) 16
  20. 20.The mean of 3 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 17 (b) 15 (c) 19 (d) 18
  21. 21.What is the mean of 18, 14, 9 and 11? (a) 13 (b) 12 (c) 15 (d) 14
  22. 22.What is the mode of 17, 12, 17, 12, 11, 17 and 3? (a) 11 (b) 12 (c) 17 (d) 3
  23. 23.What is the median of 27, 9, 15, 29, 4, 24 and 23? (a) 24 (b) 15 (c) 29 (d) 23
  24. 24.What is the mode of 10, 6, 5, 10, 6, 20 and 10? (a) 10 (b) 20 (c) 5 (d) 6
  25. 25.What is the median of 7, 37, 1, 15, 3, 10 and 23? (a) 15 (b) 11 (c) 7 (d) 10
  26. 26.What is the median of 3, 33, 31, 7, 38, 28 and 29? (a) 29 (b) 28 (c) 7 (d) 31
  27. 27.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 44 (c) 43 (d) 39
  28. 28.What is the mean of 5, 11, 16 and 12? (a) 11 (b) 13 (c) 12 (d) 10
  29. 29.What is the mean of 14, 4, 11 and 11? (a) 10 (b) 9 (c) 11 (d) 8
  30. 30.What is the mode of 2, 12, 12, 12, 13, 2 and 17? (a) 13 (b) 12 (c) 17 (d) 2
  31. 31.What is the mode of 5, 5, 7, 17, 9, 17 and 17? (a) 17 (b) 5 (c) 9 (d) 7
  32. 32.What is the median of 8, 12, 34, 35, 10, 7 and 5? (a) 12 (b) 10 (c) 35 (d) 8
  33. 33.What is the mean of 10, 14, 16, 10, 6 and 22? (a) 15 (b) 13 (c) 14 (d) 12
  34. 34.What is the mode of 5, 12, 6, 12, 7, 6 and 12? (a) 7 (b) 6 (c) 5 (d) 12
  35. 35.What is the median of 16, 15, 18, 1 and 14? (a) 16 (b) 18 (c) 14 (d) 15
  36. 36.What is the mode of 8, 15, 1, 1, 3, 1 and 3? (a) 8 (b) 3 (c) 15 (d) 1
  37. 37.What is the median of 38, 34, 9, 21, 28, 7 and 20? (a) 22 (b) 21 (c) 20 (d) 28
  38. 38.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 33 (b) 31 (c) 34 (d) 32
  39. 39.What is the mode of 17, 19, 19, 20, 19, 13 and 20? (a) 17 (b) 20 (c) 13 (d) 19
  40. 40.What is the median of 18, 31, 36, 21 and 30? (a) 21 (b) 31 (c) 36 (d) 30

Answer key

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

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