← 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 104 · 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 6, 5, 3, 19, 5, 3 and 3? (a) 5 (b) 3 (c) 6 (d) 19
  2. 2.What is the mode of 7, 6, 20, 11, 7, 11 and 11? (a) 20 (b) 6 (c) 11 (d) 7
  3. 3.What is the median of 18, 33, 40, 36, 9, 10 and 35? (a) 36 (b) 35 (c) 18 (d) 33
  4. 4.The mean of 4 numbers is 23. When the number 38 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 23
  5. 5.What is the mean of 16, 15, 9, 6 and 4? (a) 9 (b) 12 (c) 10 (d) 11
  6. 6.What is the median of 31, 5, 2, 12, 39, 20 and 23? (a) 23 (b) 21 (c) 12 (d) 20
  7. 7.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 26
  8. 8.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 19 (b) 22 (c) 20 (d) 17
  9. 9.What is the mode of 8, 12, 8, 19, 8, 19 and 1? (a) 1 (b) 19 (c) 8 (d) 12
  10. 10.What is the mean of 7, 11, 2, 16 and 9? (a) 9 (b) 11 (c) 10 (d) 8
  11. 11.What is the median of 33, 31, 16, 20, 1, 5 and 7? (a) 17 (b) 16 (c) 7 (d) 20
  12. 12.What is the mode of 19, 19, 12, 9, 11, 12 and 19? (a) 12 (b) 9 (c) 11 (d) 19
  13. 13.What is the mode of 8, 13, 13, 2, 13, 4 and 4? (a) 8 (b) 13 (c) 2 (d) 4
  14. 14.What is the median of 37, 4, 29, 12 and 14? (a) 14 (b) 29 (c) 12 (d) 15
  15. 15.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 10 (b) 6 (c) 8 (d) 9
  16. 16.What is the median of 33, 12, 1, 29, 16, 38 and 26? (a) 16 (b) 29 (c) 27 (d) 26
  17. 17.What is the mode of 20, 5, 2, 14, 5, 20 and 20? (a) 2 (b) 14 (c) 20 (d) 5
  18. 18.What is the mode of 7, 2, 8, 5, 7, 8 and 8? (a) 2 (b) 5 (c) 8 (d) 7
  19. 19.The mean of 6 numbers is 38. When the number 17 is added to them, what is the new mean? (a) 38 (b) 36 (c) 34 (d) 35
  20. 20.What is the mean of 4, 5, 10 and 5? (a) 5 (b) 8 (c) 7 (d) 6
  21. 21.What is the mode of 16, 7, 7, 14, 7, 5 and 5? (a) 16 (b) 7 (c) 5 (d) 14
  22. 22.What is the mode of 6, 18, 3, 18, 3, 2 and 18? (a) 2 (b) 6 (c) 18 (d) 3
  23. 23.What is the median of 28, 4, 19, 3, 27, 7 and 9? (a) 19 (b) 3 (c) 9 (d) 7
  24. 24.What is the median of 14, 39, 40, 11, 22, 18 and 10? (a) 14 (b) 11 (c) 18 (d) 22
  25. 25.What is the mean of 6, 19, 9, 7, 20 and 11? (a) 11 (b) 13 (c) 14 (d) 12
  26. 26.What is the mode of 10, 11, 10, 20, 10, 20 and 8? (a) 20 (b) 11 (c) 10 (d) 8
  27. 27.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 22 (b) 23 (c) 25 (d) 24
  28. 28.What is the mean of 15, 6, 15 and 4? (a) 8 (b) 10 (c) 11 (d) 9
  29. 29.What is the median of 40, 12, 8, 25 and 13? (a) 13 (b) 8 (c) 12 (d) 25
  30. 30.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 26 (b) 25 (c) 28 (d) 24
  31. 31.What is the mode of 17, 5, 5, 19, 5, 2 and 17? (a) 2 (b) 5 (c) 17 (d) 19
  32. 32.What is the mean of 11, 16, 13, 4 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  33. 33.What is the mode of 13, 13, 5, 19, 13, 2 and 2? (a) 5 (b) 13 (c) 19 (d) 2
  34. 34.What is the mean of 9, 17, 14, 17 and 8? (a) 13 (b) 12 (c) 14 (d) 15
  35. 35.What is the median of 10, 28, 20, 12, 1, 3 and 13? (a) 10 (b) 12 (c) 11 (d) 13
  36. 36.What is the median of 20, 10, 39, 11, 21, 34 and 23? (a) 23 (b) 21 (c) 11 (d) 20
  37. 37.What is the median of 36, 11, 30, 16, 12, 6 and 14? (a) 16 (b) 12 (c) 15 (d) 14
  38. 38.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 12 (b) 10 (c) 11 (d) 7
  39. 39.What is the mode of 9, 3, 14, 4, 4, 14 and 14? (a) 9 (b) 3 (c) 4 (d) 14
  40. 40.What is the mean of 12, 7, 3, 12, 8 and 6? (a) 7 (b) 10 (c) 9 (d) 8

Answer key

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

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