← 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 898 · 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 mode of 14, 3, 10, 14, 6, 10 and 14? (a) 6 (b) 14 (c) 3 (d) 10
  2. 2.What is the mean of 16, 11, 5, 10 and 3? (a) 11 (b) 10 (c) 8 (d) 9
  3. 3.What is the mode of 4, 4, 4, 11, 1, 15 and 1? (a) 1 (b) 11 (c) 4 (d) 15
  4. 4.What is the mean of 13, 6, 5 and 20? (a) 12 (b) 10 (c) 11 (d) 13
  5. 5.What is the mean of 9, 2, 19, 20, 14 and 8? (a) 14 (b) 13 (c) 12 (d) 11
  6. 6.What is the mode of 9, 1, 1, 1, 9, 18 and 20? (a) 1 (b) 20 (c) 18 (d) 9
  7. 7.What is the mode of 14, 14, 20, 14, 3, 3 and 11? (a) 14 (b) 11 (c) 20 (d) 3
  8. 8.What is the mean of 5, 7, 16, 8, 4 and 14? (a) 9 (b) 10 (c) 11 (d) 8
  9. 9.What is the median of 30, 37, 38, 6, 11, 40 and 8? (a) 11 (b) 37 (c) 6 (d) 30
  10. 10.What is the median of 5, 30, 8, 21, 14, 20 and 18? (a) 14 (b) 20 (c) 18 (d) 21
  11. 11.What is the median of 2, 39, 36, 15 and 21? (a) 15 (b) 36 (c) 21 (d) 22
  12. 12.What is the median of 11, 6, 4, 40, 33, 27 and 19? (a) 20 (b) 19 (c) 40 (d) 27
  13. 13.The mean of 8 numbers is 14. When the number 50 is added to them, what is the new mean? (a) 32 (b) 19 (c) 14 (d) 18
  14. 14.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 26
  15. 15.What is the mode of 11, 1, 15, 3, 1, 1 and 11? (a) 15 (b) 3 (c) 1 (d) 11
  16. 16.The mean of 4 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 32 (b) 37 (c) 34 (d) 35
  17. 17.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 33 (b) 32 (c) 34 (d) 36
  18. 18.What is the mode of 10, 10, 12, 10, 1, 8 and 1? (a) 8 (b) 12 (c) 1 (d) 10
  19. 19.What is the mode of 15, 12, 12, 12, 16, 16 and 4? (a) 12 (b) 16 (c) 4 (d) 15
  20. 20.What is the median of 23, 7, 39, 26 and 18? (a) 39 (b) 18 (c) 23 (d) 26
  21. 21.What is the mean of 12, 8, 4, 14, 7 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  22. 22.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 34
  23. 23.What is the median of 11, 13, 31, 40 and 34? (a) 31 (b) 13 (c) 32 (d) 34
  24. 24.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 39 (b) 37 (c) 33 (d) 36
  25. 25.What is the mode of 17, 4, 4, 18, 4, 9 and 18? (a) 4 (b) 9 (c) 17 (d) 18
  26. 26.The mean of 5 numbers is 12. When the number 6 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 9
  27. 27.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 31 (c) 34 (d) 33
  28. 28.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 24
  29. 29.What is the median of 8, 36, 22, 3, 25, 14 and 40? (a) 22 (b) 14 (c) 3 (d) 25
  30. 30.What is the mode of 19, 9, 1, 1, 3, 3 and 3? (a) 3 (b) 9 (c) 19 (d) 1
  31. 31.What is the mean of 17, 17, 3, 10 and 18? (a) 14 (b) 13 (c) 12 (d) 15
  32. 32.The mean of 3 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 39 (c) 38 (d) 37
  33. 33.What is the mean of 3, 4, 16 and 13? (a) 10 (b) 8 (c) 12 (d) 9
  34. 34.What is the median of 17, 37, 38, 4, 25, 23 and 13? (a) 4 (b) 17 (c) 25 (d) 23
  35. 35.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 16 (b) 17 (c) 13 (d) 15
  36. 36.The mean of 6 numbers is 26. When the number 47 is added to them, what is the new mean? (a) 28 (b) 26 (c) 29 (d) 30
  37. 37.What is the median of 38, 36, 20, 9 and 40? (a) 38 (b) 36 (c) 37 (d) 20
  38. 38.The mean of 5 numbers is 24. When the number 42 is added to them, what is the new mean? (a) 33 (b) 27 (c) 28 (d) 24
  39. 39.What is the mode of 19, 4, 3, 4, 5, 3 and 3? (a) 19 (b) 3 (c) 4 (d) 5
  40. 40.What is the mean of 5, 16, 6 and 13? (a) 11 (b) 9 (c) 8 (d) 10

Answer key

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

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