← 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 13 · 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 23, 7, 26, 16, 32, 31 and 30? (a) 23 (b) 26 (c) 30 (d) 16
  2. 2.What is the median of 39, 21, 5, 12 and 6? (a) 12 (b) 5 (c) 6 (d) 21
  3. 3.What is the median of 8, 14, 40, 4, 31, 34 and 12? (a) 31 (b) 14 (c) 12 (d) 4
  4. 4.The mean of 8 numbers is 31. When the number 58 is added to them, what is the new mean? (a) 33 (b) 34 (c) 31 (d) 35
  5. 5.What is the mode of 7, 6, 6, 1, 6, 18 and 7? (a) 18 (b) 6 (c) 1 (d) 7
  6. 6.What is the mode of 3, 17, 12, 9, 3, 3 and 9? (a) 9 (b) 12 (c) 17 (d) 3
  7. 7.The mean of 9 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 13
  8. 8.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 28
  9. 9.What is the mode of 13, 20, 13, 13, 5, 12 and 12? (a) 13 (b) 12 (c) 5 (d) 20
  10. 10.What is the mean of 15, 2, 16, 7 and 20? (a) 10 (b) 13 (c) 12 (d) 15
  11. 11.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 35 (c) 36 (d) 34
  12. 12.What is the mean of 14, 4, 17 and 9? (a) 13 (b) 10 (c) 12 (d) 11
  13. 13.The mean of 5 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 19 (b) 28 (c) 27 (d) 31
  14. 14.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 33 (b) 49 (c) 29 (d) 34
  15. 15.What is the mean of 18, 8, 10, 5, 8 and 17? (a) 10 (b) 11 (c) 13 (d) 12
  16. 16.What is the mean of 9, 20, 3, 11, 6 and 5? (a) 10 (b) 11 (c) 8 (d) 9
  17. 17.What is the mode of 11, 11, 5, 3, 5, 7 and 5? (a) 11 (b) 5 (c) 3 (d) 7
  18. 18.What is the mode of 10, 10, 19, 15, 8, 15 and 10? (a) 19 (b) 8 (c) 10 (d) 15
  19. 19.What is the mean of 7, 14, 12, 5, 7 and 9? (a) 11 (b) 9 (c) 8 (d) 10
  20. 20.What is the mean of 8, 4, 16, 15, 19 and 10? (a) 11 (b) 14 (c) 13 (d) 12
  21. 21.What is the mode of 15, 3, 19, 19, 15, 15 and 1? (a) 1 (b) 3 (c) 15 (d) 19
  22. 22.What is the mode of 8, 11, 20, 20, 15, 20 and 15? (a) 11 (b) 20 (c) 8 (d) 15
  23. 23.What is the mean of 4, 17, 11, 3, 7 and 12? (a) 10 (b) 11 (c) 8 (d) 9
  24. 24.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 20 (b) 23 (c) 19 (d) 17
  25. 25.What is the mode of 19, 11, 5, 19, 2, 19 and 5? (a) 19 (b) 5 (c) 11 (d) 2
  26. 26.What is the mode of 3, 20, 1, 3, 3, 10 and 1? (a) 20 (b) 1 (c) 10 (d) 3
  27. 27.What is the median of 2, 13, 7, 31, 14, 21 and 20? (a) 31 (b) 20 (c) 13 (d) 14
  28. 28.What is the mode of 5, 2, 5, 2, 10, 2 and 16? (a) 5 (b) 10 (c) 2 (d) 16
  29. 29.What is the median of 40, 23, 28, 1 and 22? (a) 24 (b) 22 (c) 28 (d) 23
  30. 30.What is the mean of 10, 18, 2 and 10? (a) 9 (b) 8 (c) 10 (d) 11
  31. 31.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29
  32. 32.What is the mode of 4, 3, 3, 3, 11, 10 and 10? (a) 3 (b) 4 (c) 11 (d) 10
  33. 33.The mean of 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 25 (b) 20 (c) 15 (d) 19
  34. 34.What is the mode of 16, 20, 3, 16, 20, 6 and 20? (a) 6 (b) 16 (c) 3 (d) 20
  35. 35.What is the median of 2, 7, 37, 16 and 5? (a) 5 (b) 16 (c) 37 (d) 7
  36. 36.The mean of 9 numbers is 13. When the number 53 is added to them, what is the new mean? (a) 33 (b) 18 (c) 17 (d) 13
  37. 37.What is the mean of 10, 8, 7 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  38. 38.The mean of 7 numbers is 23. When the number 55 is added to them, what is the new mean? (a) 23 (b) 28 (c) 27 (d) 39
  39. 39.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 27 (b) 30 (c) 28 (d) 21
  40. 40.What is the mean of 10, 17, 5, 5, 18 and 5? (a) 11 (b) 10 (c) 12 (d) 9

Answer key

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

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