← 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 214 · 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 13, 9, 9, 8, 13, 4 and 9? (a) 4 (b) 13 (c) 9 (d) 8
  2. 2.What is the mode of 15, 6, 6, 17, 15, 15 and 4? (a) 4 (b) 6 (c) 17 (d) 15
  3. 3.What is the mean of 12, 19, 7, 14 and 3? (a) 10 (b) 12 (c) 11 (d) 13
  4. 4.What is the median of 30, 18, 34, 14, 6, 12 and 2? (a) 12 (b) 18 (c) 15 (d) 14
  5. 5.The mean of 3 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 15 (b) 16 (c) 12 (d) 14
  6. 6.What is the mode of 1, 18, 1, 9, 3, 18 and 1? (a) 18 (b) 9 (c) 3 (d) 1
  7. 7.What is the mode of 19, 2, 1, 6, 6, 1 and 1? (a) 1 (b) 2 (c) 19 (d) 6
  8. 8.What is the mode of 1, 15, 2, 1, 13, 13 and 13? (a) 1 (b) 15 (c) 13 (d) 2
  9. 9.What is the median of 28, 40, 14, 37 and 33? (a) 28 (b) 33 (c) 37 (d) 14
  10. 10.What is the mode of 11, 11, 2, 11, 9, 14 and 9? (a) 2 (b) 11 (c) 14 (d) 9
  11. 11.What is the mode of 1, 6, 1, 4, 16, 16 and 16? (a) 4 (b) 16 (c) 6 (d) 1
  12. 12.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 35 (b) 37 (c) 38 (d) 39
  13. 13.What is the median of 15, 5, 3, 28, 31, 27 and 13? (a) 15 (b) 28 (c) 13 (d) 27
  14. 14.What is the median of 15, 16, 24, 10 and 12? (a) 16 (b) 24 (c) 12 (d) 15
  15. 15.What is the median of 12, 27, 38, 32, 17, 9 and 13? (a) 27 (b) 13 (c) 17 (d) 32
  16. 16.What is the mode of 3, 10, 16, 10, 10, 11 and 16? (a) 3 (b) 16 (c) 11 (d) 10
  17. 17.What is the mode of 7, 2, 2, 7, 3, 15 and 7? (a) 15 (b) 7 (c) 2 (d) 3
  18. 18.What is the mean of 12, 10, 10, 11 and 7? (a) 9 (b) 12 (c) 11 (d) 10
  19. 19.What is the mode of 8, 12, 15, 12, 15, 15 and 4? (a) 15 (b) 4 (c) 8 (d) 12
  20. 20.What is the median of 3, 16, 26, 27, 24, 25 and 40? (a) 27 (b) 23 (c) 25 (d) 26
  21. 21.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 45
  22. 22.What is the mean of 18, 2, 7 and 5? (a) 10 (b) 7 (c) 9 (d) 8
  23. 23.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 27 (b) 30 (c) 26 (d) 28
  24. 24.What is the median of 18, 26, 35, 22 and 37? (a) 35 (b) 26 (c) 22 (d) 27
  25. 25.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 37 (b) 32 (c) 40 (d) 36
  26. 26.What is the mean of 19, 18, 6, 12, 7 and 10? (a) 14 (b) 13 (c) 12 (d) 11
  27. 27.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 9 (b) 10 (c) 6 (d) 8
  28. 28.What is the mean of 7, 16, 6 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  29. 29.What is the mode of 8, 8, 10, 10, 1, 8 and 6? (a) 1 (b) 6 (c) 8 (d) 10
  30. 30.What is the mean of 17, 20, 9 and 22? (a) 17 (b) 19 (c) 16 (d) 18
  31. 31.What is the mean of 6, 5, 15, 7 and 12? (a) 10 (b) 8 (c) 9 (d) 11
  32. 32.What is the mean of 14, 15, 15, 12, 5 and 5? (a) 13 (b) 10 (c) 12 (d) 11
  33. 33.What is the mean of 20, 12, 11, 13 and 4? (a) 12 (b) 13 (c) 10 (d) 15
  34. 34.What is the mode of 16, 19, 19, 17, 2, 17 and 17? (a) 16 (b) 19 (c) 2 (d) 17
  35. 35.What is the mode of 20, 8, 8, 15, 20, 17 and 20? (a) 8 (b) 20 (c) 15 (d) 17
  36. 36.What is the median of 40, 17, 30, 36, 39, 4 and 11? (a) 17 (b) 31 (c) 30 (d) 36
  37. 37.What is the mode of 4, 18, 20, 4, 4, 9 and 20? (a) 4 (b) 18 (c) 9 (d) 20
  38. 38.The mean of 8 numbers is 38. When the number 47 is added to them, what is the new mean? (a) 40 (b) 39 (c) 41 (d) 38
  39. 39.What is the median of 17, 15, 26, 35 and 37? (a) 17 (b) 27 (c) 35 (d) 26
  40. 40.What is the median of 29, 11, 8, 2, 3, 38 and 22? (a) 8 (b) 2 (c) 11 (d) 22

Answer key

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

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