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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 434 · 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 3, 10, 10, 3, 19, 20 and 3? (a) 19 (b) 10 (c) 3 (d) 20
  2. 2.What is the mode of 17, 17, 3, 18, 3, 3 and 5? (a) 5 (b) 18 (c) 17 (d) 3
  3. 3.What is the mode of 14, 14, 6, 2, 14, 2 and 20? (a) 14 (b) 6 (c) 20 (d) 2
  4. 4.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 20
  5. 5.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 24 (c) 34 (d) 33
  6. 6.The mean of 6 numbers is 21. When the number 35 is added to them, what is the new mean? (a) 28 (b) 24 (c) 21 (d) 23
  7. 7.The mean of 5 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 25 (b) 23 (c) 16 (d) 22
  8. 8.What is the median of 8, 26, 9, 40, 18, 7 and 13? (a) 13 (b) 40 (c) 18 (d) 9
  9. 9.What is the median of 18, 28, 37, 9 and 39? (a) 37 (b) 18 (c) 29 (d) 28
  10. 10.The mean of 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 19 (c) 22 (d) 18
  11. 11.What is the mean of 3, 9, 19, 8, 17 and 22? (a) 14 (b) 15 (c) 12 (d) 13
  12. 12.What is the mean of 18, 12, 9 and 13? (a) 14 (b) 13 (c) 12 (d) 15
  13. 13.What is the mode of 16, 2, 17, 14, 14, 14 and 17? (a) 17 (b) 14 (c) 16 (d) 2
  14. 14.The mean of 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 12 (b) 22 (c) 20 (d) 21
  15. 15.What is the mode of 1, 17, 9, 11, 11, 1 and 11? (a) 9 (b) 11 (c) 17 (d) 1
  16. 16.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 12
  17. 17.What is the mean of 16, 19, 3 and 14? (a) 12 (b) 15 (c) 13 (d) 14
  18. 18.What is the median of 40, 13, 36, 12 and 1? (a) 12 (b) 36 (c) 13 (d) 14
  19. 19.What is the mode of 10, 11, 4, 14, 10, 14 and 14? (a) 10 (b) 4 (c) 11 (d) 14
  20. 20.The mean of 9 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 45 (b) 35 (c) 37 (d) 38
  21. 21.What is the mean of 12, 13, 10, 8, 13 and 10? (a) 12 (b) 11 (c) 10 (d) 13
  22. 22.What is the mode of 4, 11, 12, 11, 15, 15 and 11? (a) 11 (b) 15 (c) 12 (d) 4
  23. 23.What is the mean of 12, 20, 3 and 9? (a) 13 (b) 11 (c) 12 (d) 10
  24. 24.What is the mean of 3, 13, 3, 8 and 18? (a) 8 (b) 9 (c) 11 (d) 10
  25. 25.What is the mode of 12, 18, 18, 12, 18, 15 and 1? (a) 1 (b) 18 (c) 12 (d) 15
  26. 26.What is the median of 30, 13, 6, 9, 16, 10 and 21? (a) 15 (b) 13 (c) 16 (d) 9
  27. 27.What is the median of 37, 8, 9, 11 and 12? (a) 9 (b) 10 (c) 11 (d) 12
  28. 28.What is the mean of 13, 6, 15, 6 and 5? (a) 11 (b) 9 (c) 10 (d) 8
  29. 29.What is the mode of 4, 3, 3, 12, 4, 3 and 6? (a) 3 (b) 12 (c) 4 (d) 6
  30. 30.The mean of 4 numbers is 26. When the number 41 is added to them, what is the new mean? (a) 28 (b) 26 (c) 30 (d) 29
  31. 31.What is the mode of 14, 14, 15, 3, 5, 15 and 14? (a) 5 (b) 15 (c) 3 (d) 14
  32. 32.What is the median of 16, 14, 2, 27 and 25? (a) 25 (b) 16 (c) 14 (d) 2
  33. 33.What is the median of 30, 8, 26, 3, 38, 21 and 1? (a) 3 (b) 26 (c) 21 (d) 8
  34. 34.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 35 (b) 36 (c) 33 (d) 34
  35. 35.What is the mode of 16, 1, 16, 1, 16, 3 and 9? (a) 1 (b) 9 (c) 16 (d) 3
  36. 36.What is the median of 33, 16, 23, 26, 8, 25 and 1? (a) 26 (b) 23 (c) 16 (d) 25
  37. 37.What is the median of 39, 24, 2, 3 and 8? (a) 2 (b) 8 (c) 24 (d) 3
  38. 38.What is the mean of 12, 15, 3 and 10? (a) 9 (b) 8 (c) 10 (d) 11
  39. 39.What is the mean of 16, 19, 20 and 13? (a) 16 (b) 19 (c) 18 (d) 17
  40. 40.The mean of 9 numbers is 39. When the number 9 is added to them, what is the new mean? (a) 24 (b) 37 (c) 36 (d) 39

Answer key

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

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