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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 674 · 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 3, 16, 20 and 5? (a) 13 (b) 11 (c) 12 (d) 10
  2. 2.What is the mean of 16, 6, 7, 12, 3 and 10? (a) 11 (b) 9 (c) 10 (d) 8
  3. 3.What is the mode of 12, 20, 5, 20, 5, 2 and 20? (a) 2 (b) 20 (c) 12 (d) 5
  4. 4.What is the mean of 11, 3, 7 and 3? (a) 5 (b) 8 (c) 6 (d) 7
  5. 5.What is the mean of 11, 11, 16, 4 and 13? (a) 11 (b) 12 (c) 10 (d) 13
  6. 6.What is the mean of 2, 11, 10, 20, 5 and 18? (a) 10 (b) 11 (c) 12 (d) 13
  7. 7.What is the mode of 16, 12, 4, 5, 12, 5 and 5? (a) 5 (b) 16 (c) 4 (d) 12
  8. 8.What is the median of 15, 6, 12, 36, 27, 33 and 25? (a) 36 (b) 27 (c) 22 (d) 25
  9. 9.What is the mean of 10, 4, 10 and 4? (a) 9 (b) 7 (c) 6 (d) 8
  10. 10.What is the median of 24, 16, 25, 29 and 38? (a) 24 (b) 29 (c) 26 (d) 25
  11. 11.What is the median of 37, 33, 12, 5 and 19? (a) 12 (b) 33 (c) 20 (d) 19
  12. 12.What is the mode of 9, 9, 6, 9, 1, 11 and 11? (a) 9 (b) 6 (c) 11 (d) 1
  13. 13.What is the mean of 10, 18, 17 and 7? (a) 13 (b) 15 (c) 14 (d) 12
  14. 14.What is the mode of 20, 17, 10, 20, 2, 20 and 2? (a) 10 (b) 2 (c) 20 (d) 17
  15. 15.What is the mode of 8, 8, 1, 14, 8, 1 and 6? (a) 6 (b) 8 (c) 14 (d) 1
  16. 16.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 35
  17. 17.What is the mean of 15, 2, 15 and 8? (a) 10 (b) 8 (c) 11 (d) 9
  18. 18.What is the mean of 7, 7, 5, 13, 7 and 15? (a) 8 (b) 9 (c) 10 (d) 11
  19. 19.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 31 (d) 33
  20. 20.What is the median of 17, 12, 31, 3, 25, 18 and 33? (a) 17 (b) 25 (c) 3 (d) 18
  21. 21.The mean of 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 29
  22. 22.What is the mean of 3, 6, 19, 10 and 12? (a) 11 (b) 9 (c) 10 (d) 12
  23. 23.What is the mean of 20, 7, 16, 16, 19 and 6? (a) 14 (b) 13 (c) 12 (d) 15
  24. 24.What is the median of 39, 5, 13, 22 and 32? (a) 23 (b) 13 (c) 22 (d) 32
  25. 25.The mean of 3 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 15 (b) 19 (c) 17 (d) 18
  26. 26.What is the mean of 11, 18, 15, 4 and 7? (a) 11 (b) 10 (c) 13 (d) 12
  27. 27.What is the mode of 10, 2, 19, 2, 2, 9 and 9? (a) 10 (b) 19 (c) 9 (d) 2
  28. 28.What is the mean of 11, 16, 14 and 19? (a) 20 (b) 12 (c) 16 (d) 15
  29. 29.What is the mean of 10, 18, 12, 15, 7 and 4? (a) 12 (b) 13 (c) 10 (d) 11
  30. 30.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 25 (b) 23 (c) 19 (d) 24
  31. 31.What is the mean of 6, 11, 2 and 13? (a) 8 (b) 7 (c) 9 (d) 10
  32. 32.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 32 (b) 24 (c) 33 (d) 36
  33. 33.What is the mode of 14, 7, 7, 14, 14, 4 and 1? (a) 14 (b) 4 (c) 7 (d) 1
  34. 34.What is the mean of 12, 10, 16, 2 and 5? (a) 9 (b) 8 (c) 11 (d) 10
  35. 35.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 31 (b) 28 (c) 33 (d) 32
  36. 36.What is the median of 32, 10, 17, 14, 18, 28 and 1? (a) 16 (b) 14 (c) 18 (d) 17
  37. 37.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 21
  38. 38.What is the mode of 13, 13, 17, 17, 7, 17 and 1? (a) 17 (b) 13 (c) 1 (d) 7
  39. 39.What is the mean of 19, 15, 13, 3, 16 and 18? (a) 12 (b) 15 (c) 13 (d) 14
  40. 40.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 17 (b) 20 (c) 21 (d) 19

Answer key

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

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