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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 705 · 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 5 numbers is 29. When the number 23 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 26
  2. 2.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 29 (b) 28 (c) 37 (d) 25
  3. 3.The mean of 5 numbers is 30. When the number 36 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 31
  4. 4.What is the mean of 12, 16, 2, 19 and 21? (a) 13 (b) 16 (c) 15 (d) 14
  5. 5.What is the mean of 17, 18, 5 and 16? (a) 14 (b) 13 (c) 15 (d) 16
  6. 6.What is the mean of 9, 12, 20, 15 and 9? (a) 13 (b) 14 (c) 15 (d) 12
  7. 7.What is the mean of 7, 11, 6, 8 and 13? (a) 10 (b) 9 (c) 8 (d) 11
  8. 8.What is the mean of 9, 2, 4, 14, 14 and 17? (a) 11 (b) 10 (c) 9 (d) 12
  9. 9.What is the mean of 5, 7, 8 and 8? (a) 9 (b) 6 (c) 7 (d) 8
  10. 10.What is the mean of 7, 11, 15 and 11? (a) 12 (b) 10 (c) 13 (d) 11
  11. 11.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 10 (b) 9 (c) 6 (d) 11
  12. 12.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 14
  13. 13.What is the mode of 17, 4, 19, 19, 9, 9 and 19? (a) 9 (b) 4 (c) 19 (d) 17
  14. 14.What is the mode of 15, 12, 5, 5, 5, 4 and 4? (a) 15 (b) 12 (c) 4 (d) 5
  15. 15.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 20 (b) 35 (c) 19 (d) 15
  16. 16.What is the mean of 17, 9, 4 and 18? (a) 13 (b) 11 (c) 16 (d) 12
  17. 17.What is the mode of 8, 8, 1, 10, 8, 12 and 10? (a) 10 (b) 12 (c) 1 (d) 8
  18. 18.What is the mean of 5, 5, 6, 18 and 11? (a) 11 (b) 8 (c) 9 (d) 10
  19. 19.What is the mode of 10, 10, 11, 3, 12, 11 and 11? (a) 12 (b) 11 (c) 10 (d) 3
  20. 20.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 30 (b) 31 (c) 34 (d) 32
  21. 21.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 21 (c) 22 (d) 17
  22. 22.What is the mode of 13, 8, 19, 8, 8, 13 and 15? (a) 19 (b) 13 (c) 8 (d) 15
  23. 23.What is the median of 12, 32, 39, 13 and 29? (a) 29 (b) 25 (c) 32 (d) 39
  24. 24.What is the mode of 7, 4, 9, 14, 9, 9 and 14? (a) 7 (b) 14 (c) 9 (d) 4
  25. 25.The mean of 8 numbers is 25. When the number 61 is added to them, what is the new mean? (a) 29 (b) 30 (c) 25 (d) 43
  26. 26.What is the median of 1, 26, 20, 39 and 22? (a) 20 (b) 26 (c) 23 (d) 22
  27. 27.What is the mode of 9, 4, 14, 14, 4, 16 and 4? (a) 14 (b) 16 (c) 4 (d) 9
  28. 28.What is the median of 32, 3, 18, 1, 11, 33 and 12? (a) 1 (b) 18 (c) 11 (d) 12
  29. 29.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 15 (b) 19 (c) 20 (d) 18
  30. 30.What is the mode of 8, 2, 19, 2, 8, 8 and 9? (a) 9 (b) 2 (c) 19 (d) 8
  31. 31.What is the mode of 20, 4, 7, 7, 7, 8 and 20? (a) 7 (b) 20 (c) 8 (d) 4
  32. 32.What is the mean of 19, 16, 15 and 18? (a) 17 (b) 18 (c) 19 (d) 16
  33. 33.What is the median of 11, 29, 10, 13, 4, 35 and 32? (a) 11 (b) 29 (c) 13 (d) 14
  34. 34.What is the median of 4, 29, 37, 2, 33, 3 and 38? (a) 2 (b) 33 (c) 29 (d) 4
  35. 35.What is the mean of 10, 7, 10 and 17? (a) 10 (b) 11 (c) 12 (d) 13
  36. 36.What is the median of 9, 36, 2, 38, 4, 26 and 5? (a) 38 (b) 26 (c) 5 (d) 9
  37. 37.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 13 (b) 14 (c) 25 (d) 10
  38. 38.The mean of 9 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 40
  39. 39.What is the mode of 3, 18, 3, 3, 14, 14 and 20? (a) 18 (b) 14 (c) 20 (d) 3
  40. 40.What is the median of 16, 15, 7, 19 and 33? (a) 7 (b) 19 (c) 18 (d) 16

Answer key

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

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