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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 464 · 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 17, 1, 6, 1, 17, 12 and 1? (a) 12 (b) 17 (c) 1 (d) 6
  2. 2.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 34 (b) 40 (c) 33 (d) 31
  3. 3.What is the mode of 9, 12, 12, 17, 12, 2 and 17? (a) 12 (b) 17 (c) 9 (d) 2
  4. 4.What is the mode of 16, 17, 18, 17, 16, 17 and 4? (a) 16 (b) 4 (c) 17 (d) 18
  5. 5.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 9
  6. 6.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 30 (b) 31 (c) 26 (d) 29
  7. 7.What is the mode of 18, 11, 18, 12, 11, 13 and 11? (a) 12 (b) 18 (c) 13 (d) 11
  8. 8.What is the median of 30, 16, 2, 25 and 5? (a) 2 (b) 25 (c) 5 (d) 16
  9. 9.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 14 (b) 13 (c) 11 (d) 12
  10. 10.What is the median of 20, 12, 19, 7, 8, 14 and 32? (a) 16 (b) 7 (c) 19 (d) 14
  11. 11.What is the median of 33, 38, 5, 18 and 23? (a) 18 (b) 23 (c) 33 (d) 5
  12. 12.What is the mode of 5, 10, 3, 18, 10, 18 and 18? (a) 18 (b) 10 (c) 3 (d) 5
  13. 13.What is the mean of 14, 17, 4, 20 and 10? (a) 13 (b) 14 (c) 15 (d) 12
  14. 14.What is the median of 10, 35, 4, 30 and 31? (a) 30 (b) 4 (c) 22 (d) 31
  15. 15.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 33 (b) 37 (c) 32 (d) 34
  16. 16.What is the mode of 9, 9, 9, 1, 1, 6 and 2? (a) 2 (b) 6 (c) 9 (d) 1
  17. 17.What is the median of 19, 27, 12, 39 and 20? (a) 20 (b) 27 (c) 19 (d) 12
  18. 18.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 30 (b) 24 (c) 31 (d) 34
  19. 19.The mean of 6 numbers is 38. When the number 66 is added to them, what is the new mean? (a) 38 (b) 43 (c) 52 (d) 42
  20. 20.What is the mean of 6, 12, 18, 7 and 22? (a) 14 (b) 12 (c) 15 (d) 13
  21. 21.What is the mean of 3, 16, 11, 4, 6 and 14? (a) 8 (b) 10 (c) 9 (d) 11
  22. 22.What is the median of 40, 29, 24, 25, 23, 19 and 16? (a) 25 (b) 23 (c) 26 (d) 24
  23. 23.What is the mean of 4, 17, 15 and 12? (a) 16 (b) 11 (c) 12 (d) 13
  24. 24.The mean of 6 numbers is 11. When the number 25 is added to them, what is the new mean? (a) 18 (b) 11 (c) 14 (d) 13
  25. 25.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 23
  26. 26.What is the median of 39, 10, 35, 1, 2, 22 and 3? (a) 16 (b) 10 (c) 1 (d) 22
  27. 27.What is the mean of 2, 14, 20 and 20? (a) 13 (b) 14 (c) 16 (d) 15
  28. 28.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 18 (b) 13 (c) 17 (d) 16
  29. 29.What is the mean of 9, 7, 14, 9 and 11? (a) 9 (b) 10 (c) 12 (d) 11
  30. 30.What is the median of 39, 1, 2, 34, 12, 38 and 6? (a) 13 (b) 34 (c) 12 (d) 6
  31. 31.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 16 (b) 13 (c) 15 (d) 14
  32. 32.What is the mean of 10, 18, 20 and 4? (a) 13 (b) 15 (c) 12 (d) 14
  33. 33.What is the mean of 4, 20, 7, 10, 5 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  34. 34.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 24 (b) 21 (c) 16 (d) 20
  35. 35.The mean of 4 numbers is 37. When the number 52 is added to them, what is the new mean? (a) 39 (b) 37 (c) 40 (d) 41
  36. 36.What is the mode of 6, 6, 4, 5, 6, 4 and 1? (a) 4 (b) 1 (c) 5 (d) 6
  37. 37.What is the mean of 4, 6, 13 and 5? (a) 9 (b) 6 (c) 8 (d) 7
  38. 38.What is the mean of 5, 16, 16, 6, 19 and 16? (a) 14 (b) 15 (c) 12 (d) 13
  39. 39.The mean of 5 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 38 (b) 31 (c) 30 (d) 26
  40. 40.What is the mean of 15, 17, 17, 5 and 11? (a) 14 (b) 13 (c) 12 (d) 15

Answer key

  1. 1
  2. 33
  3. 12
  4. 17
  5. 9
  6. 29
  7. 11
  8. 16
  9. 12
  10. 14
  11. 23
  12. 18
  13. 13
  14. 30
  15. 33
  16. 9
  17. 20
  18. 30
  19. 42
  20. 13
  21. 9
  22. 24
  23. 12
  24. 13
  25. 24
  26. 10
  27. 14
  28. 16
  29. 10
  30. 12
  31. 14
  32. 13
  33. 9
  34. 20
  35. 40
  36. 6
  37. 7
  38. 13
  39. 30
  40. 13

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