← 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 470 · 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 mean of 11, 4, 5 and 4? (a) 8 (b) 5 (c) 7 (d) 6
  2. 2.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 14 (b) 15 (c) 18 (d) 16
  3. 3.What is the mean of 8, 8, 13, 20 and 21? (a) 15 (b) 16 (c) 14 (d) 13
  4. 4.What is the mode of 7, 17, 15, 17, 7, 11 and 17? (a) 17 (b) 11 (c) 7 (d) 15
  5. 5.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 21 (b) 22 (c) 20 (d) 23
  6. 6.What is the mode of 1, 1, 1, 3, 19, 13 and 13? (a) 1 (b) 3 (c) 13 (d) 19
  7. 7.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 27 (b) 28 (c) 24 (d) 26
  8. 8.What is the mode of 12, 2, 19, 12, 20, 19 and 12? (a) 2 (b) 20 (c) 12 (d) 19
  9. 9.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 13
  10. 10.What is the median of 34, 33, 11, 16 and 22? (a) 22 (b) 33 (c) 16 (d) 11
  11. 11.What is the median of 21, 31, 16, 30 and 34? (a) 21 (b) 30 (c) 31 (d) 16
  12. 12.The mean of 8 numbers is 17. When the number 44 is added to them, what is the new mean? (a) 21 (b) 20 (c) 17 (d) 19
  13. 13.What is the mean of 20, 2, 18, 12, 9 and 23? (a) 15 (b) 12 (c) 13 (d) 14
  14. 14.What is the mode of 15, 9, 1, 16, 9, 9 and 15? (a) 9 (b) 1 (c) 15 (d) 16
  15. 15.What is the median of 16, 33, 11, 32 and 29? (a) 11 (b) 32 (c) 16 (d) 29
  16. 16.What is the median of 14, 6, 17, 27, 12, 24 and 20? (a) 27 (b) 14 (c) 20 (d) 17
  17. 17.What is the median of 32, 6, 23, 17 and 7? (a) 18 (b) 17 (c) 7 (d) 23
  18. 18.What is the mean of 8, 11, 4, 13, 14 and 4? (a) 11 (b) 10 (c) 8 (d) 9
  19. 19.What is the mode of 8, 9, 9, 1, 5, 5 and 5? (a) 8 (b) 9 (c) 5 (d) 1
  20. 20.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 28 (b) 33 (c) 31 (d) 30
  21. 21.The mean of 7 numbers is 38. When the number 70 is added to them, what is the new mean? (a) 54 (b) 38 (c) 43 (d) 42
  22. 22.What is the median of 7, 34, 3, 11 and 17? (a) 11 (b) 17 (c) 3 (d) 7
  23. 23.What is the mode of 8, 3, 20, 20, 15, 15 and 20? (a) 8 (b) 15 (c) 20 (d) 3
  24. 24.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 19 (b) 17 (c) 23 (d) 20
  25. 25.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 30 (b) 34 (c) 31 (d) 32
  26. 26.What is the mean of 19, 19, 15 and 7? (a) 12 (b) 15 (c) 16 (d) 20
  27. 27.What is the mean of 19, 8, 19 and 14? (a) 20 (b) 15 (c) 12 (d) 16
  28. 28.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 39 (b) 41 (c) 38 (d) 37
  29. 29.What is the median of 33, 40, 22, 6 and 28? (a) 33 (b) 22 (c) 29 (d) 28
  30. 30.What is the median of 19, 31, 16, 8 and 30? (a) 16 (b) 19 (c) 30 (d) 20
  31. 31.What is the mode of 5, 19, 8, 8, 11, 11 and 8? (a) 19 (b) 8 (c) 5 (d) 11
  32. 32.What is the median of 1, 20, 11, 7 and 35? (a) 12 (b) 11 (c) 20 (d) 7
  33. 33.What is the mean of 9, 9, 14 and 8? (a) 11 (b) 9 (c) 8 (d) 10
  34. 34.What is the mode of 8, 8, 12, 10, 11, 10 and 10? (a) 12 (b) 8 (c) 10 (d) 11
  35. 35.What is the mode of 9, 9, 9, 8, 13, 20 and 20? (a) 20 (b) 9 (c) 13 (d) 8
  36. 36.The mean of 4 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 34 (b) 35 (c) 30 (d) 40
  37. 37.What is the mode of 12, 6, 8, 11, 11, 6 and 11? (a) 12 (b) 11 (c) 8 (d) 6
  38. 38.What is the median of 40, 25, 27, 11, 33, 6 and 5? (a) 27 (b) 25 (c) 21 (d) 11
  39. 39.What is the mean of 3, 2, 3 and 4? (a) 5 (b) 3 (c) 4 (d) 2
  40. 40.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 32 (b) 35 (c) 33 (d) 34

Answer key

  1. 6
  2. 15
  3. 14
  4. 17
  5. 21
  6. 1
  7. 27
  8. 12
  9. 16
  10. 22
  11. 30
  12. 20
  13. 14
  14. 9
  15. 29
  16. 17
  17. 17
  18. 9
  19. 5
  20. 30
  21. 42
  22. 11
  23. 20
  24. 19
  25. 31
  26. 15
  27. 15
  28. 38
  29. 28
  30. 19
  31. 8
  32. 11
  33. 10
  34. 10
  35. 9
  36. 34
  37. 11
  38. 25
  39. 3
  40. 33

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