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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 576 · 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.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 34 (b) 31 (c) 32 (d) 30
  2. 2.What is the mode of 11, 13, 13, 13, 20, 2 and 20? (a) 11 (b) 13 (c) 2 (d) 20
  3. 3.What is the median of 5, 20, 37, 8, 4, 23 and 32? (a) 23 (b) 21 (c) 8 (d) 20
  4. 4.What is the mode of 13, 20, 7, 12, 20, 13 and 13? (a) 12 (b) 13 (c) 7 (d) 20
  5. 5.What is the mean of 20, 15, 12, 17, 15 and 17? (a) 17 (b) 15 (c) 18 (d) 16
  6. 6.What is the mean of 3, 20, 13, 16 and 18? (a) 14 (b) 15 (c) 13 (d) 16
  7. 7.What is the median of 31, 7, 5, 16 and 23? (a) 23 (b) 5 (c) 16 (d) 7
  8. 8.What is the mean of 2, 15, 2, 5 and 21? (a) 8 (b) 9 (c) 10 (d) 11
  9. 9.What is the mean of 9, 11, 4 and 20? (a) 12 (b) 10 (c) 11 (d) 13
  10. 10.What is the mode of 14, 11, 14, 14, 6, 6 and 3? (a) 11 (b) 3 (c) 14 (d) 6
  11. 11.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 29 (b) 30 (c) 32 (d) 26
  12. 12.What is the median of 1, 11, 24, 27, 10, 12 and 40? (a) 27 (b) 11 (c) 12 (d) 24
  13. 13.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 18 (b) 22 (c) 23 (d) 21
  14. 14.What is the median of 24, 15, 33, 40 and 11? (a) 33 (b) 25 (c) 15 (d) 24
  15. 15.What is the mode of 2, 2, 20, 2, 8, 8 and 13? (a) 20 (b) 2 (c) 13 (d) 8
  16. 16.What is the mode of 11, 6, 2, 2, 1, 2 and 1? (a) 1 (b) 11 (c) 2 (d) 6
  17. 17.What is the mean of 7, 5, 8 and 8? (a) 7 (b) 8 (c) 9 (d) 6
  18. 18.What is the mean of 8, 13, 14 and 9? (a) 10 (b) 12 (c) 11 (d) 13
  19. 19.The mean of 4 numbers is 27. When the number 42 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 27
  20. 20.What is the median of 26, 9, 13, 12, 10, 7 and 27? (a) 12 (b) 11 (c) 10 (d) 13
  21. 21.What is the mode of 12, 12, 20, 4, 15, 4 and 12? (a) 20 (b) 12 (c) 4 (d) 15
  22. 22.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 19 (b) 18 (c) 16 (d) 17
  23. 23.What is the mode of 1, 1, 20, 20, 4, 19 and 1? (a) 1 (b) 19 (c) 20 (d) 4
  24. 24.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 17 (b) 31 (c) 22 (d) 21
  25. 25.What is the median of 39, 40, 15, 3 and 1? (a) 15 (b) 3 (c) 39 (d) 16
  26. 26.What is the mode of 4, 18, 14, 13, 18, 4 and 18? (a) 13 (b) 4 (c) 14 (d) 18
  27. 27.What is the mode of 4, 8, 4, 18, 1, 4 and 18? (a) 8 (b) 18 (c) 4 (d) 1
  28. 28.What is the mode of 4, 9, 9, 7, 9, 7 and 17? (a) 4 (b) 9 (c) 17 (d) 7
  29. 29.What is the mean of 6, 6, 18, 20 and 5? (a) 11 (b) 13 (c) 12 (d) 10
  30. 30.The mean of 7 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 19 (b) 27 (c) 21 (d) 22
  31. 31.What is the mean of 10, 14, 9 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  32. 32.What is the mode of 7, 12, 8, 19, 19, 8 and 8? (a) 12 (b) 7 (c) 19 (d) 8
  33. 33.What is the mean of 16, 7, 2 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  34. 34.What is the mode of 11, 18, 11, 7, 11, 8 and 18? (a) 18 (b) 8 (c) 7 (d) 11
  35. 35.What is the mean of 15, 4, 13, 18, 9 and 25? (a) 15 (b) 14 (c) 12 (d) 13
  36. 36.The mean of 8 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 42
  37. 37.What is the mean of 11, 9, 6 and 18? (a) 12 (b) 11 (c) 13 (d) 10
  38. 38.What is the mode of 20, 17, 20, 14, 8, 17 and 17? (a) 14 (b) 20 (c) 17 (d) 8
  39. 39.What is the mean of 4, 18, 4, 5 and 9? (a) 9 (b) 7 (c) 10 (d) 8
  40. 40.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 28 (b) 25 (c) 29 (d) 31

Answer key

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

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