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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 354 · 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 7 numbers is 35. When the number 67 is added to them, what is the new mean? (a) 40 (b) 51 (c) 39 (d) 35
  2. 2.What is the mean of 20, 13, 19 and 8? (a) 16 (b) 12 (c) 20 (d) 15
  3. 3.What is the median of 10, 2, 20, 8 and 7? (a) 8 (b) 10 (c) 20 (d) 7
  4. 4.What is the mode of 6, 16, 4, 14, 14, 16 and 14? (a) 6 (b) 16 (c) 14 (d) 4
  5. 5.What is the mean of 20, 2, 19, 3, 10 and 6? (a) 11 (b) 9 (c) 10 (d) 12
  6. 6.What is the mode of 4, 3, 7, 18, 18, 3 and 3? (a) 7 (b) 18 (c) 4 (d) 3
  7. 7.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 20
  8. 8.What is the median of 21, 8, 9, 11 and 14? (a) 11 (b) 9 (c) 14 (d) 12
  9. 9.What is the median of 1, 7, 25, 3 and 27? (a) 8 (b) 3 (c) 25 (d) 7
  10. 10.What is the mode of 10, 10, 13, 1, 18, 18 and 10? (a) 18 (b) 13 (c) 1 (d) 10
  11. 11.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 17 (b) 14 (c) 16 (d) 15
  12. 12.What is the median of 28, 9, 26, 23 and 6? (a) 9 (b) 23 (c) 26 (d) 24
  13. 13.What is the mode of 19, 2, 2, 17, 19, 1 and 2? (a) 17 (b) 19 (c) 1 (d) 2
  14. 14.What is the mode of 7, 13, 6, 7, 7, 20 and 6? (a) 13 (b) 7 (c) 20 (d) 6
  15. 15.What is the mode of 5, 5, 18, 19, 18, 13 and 18? (a) 5 (b) 19 (c) 13 (d) 18
  16. 16.What is the mode of 12, 6, 12, 4, 9, 6 and 12? (a) 9 (b) 6 (c) 4 (d) 12
  17. 17.What is the mean of 20, 11, 15 and 14? (a) 20 (b) 16 (c) 15 (d) 12
  18. 18.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 31 (b) 30 (c) 29 (d) 28
  19. 19.What is the mode of 18, 18, 7, 16, 16, 20 and 16? (a) 16 (b) 7 (c) 18 (d) 20
  20. 20.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  21. 21.What is the mean of 3, 16, 5, 14, 17 and 11? (a) 11 (b) 13 (c) 10 (d) 12
  22. 22.The mean of 4 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 24 (b) 27 (c) 23 (d) 17
  23. 23.What is the median of 13, 15, 18, 35, 39, 16 and 37? (a) 35 (b) 18 (c) 16 (d) 19
  24. 24.The mean of 6 numbers is 36. When the number 15 is added to them, what is the new mean? (a) 33 (b) 36 (c) 32 (d) 34
  25. 25.What is the median of 25, 37, 10, 23, 2, 11 and 20? (a) 21 (b) 23 (c) 11 (d) 20
  26. 26.What is the mean of 4, 13, 5, 5 and 18? (a) 8 (b) 9 (c) 10 (d) 11
  27. 27.What is the mode of 19, 10, 10, 16, 13, 13 and 13? (a) 19 (b) 10 (c) 13 (d) 16
  28. 28.What is the mean of 12, 15, 6 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  29. 29.What is the mode of 18, 15, 13, 18, 18, 5 and 15? (a) 5 (b) 13 (c) 15 (d) 18
  30. 30.The mean of 8 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 34
  31. 31.The mean of 9 numbers is 29. When the number 69 is added to them, what is the new mean? (a) 34 (b) 49 (c) 33 (d) 29
  32. 32.What is the mode of 5, 19, 8, 19, 5, 19 and 4? (a) 5 (b) 4 (c) 8 (d) 19
  33. 33.What is the median of 2, 14, 38, 8, 32, 25 and 35? (a) 32 (b) 8 (c) 25 (d) 22
  34. 34.What is the median of 3, 2, 18, 15, 35, 16 and 13? (a) 15 (b) 14 (c) 13 (d) 16
  35. 35.The mean of 4 numbers is 36. When the number 31 is added to them, what is the new mean? (a) 35 (b) 34 (c) 37 (d) 36
  36. 36.What is the mean of 11, 10, 19, 7, 16 and 15? (a) 14 (b) 13 (c) 15 (d) 12
  37. 37.What is the mean of 2, 18, 2 and 14? (a) 9 (b) 12 (c) 8 (d) 10
  38. 38.What is the mean of 10, 11, 19, 4, 7 and 21? (a) 11 (b) 13 (c) 14 (d) 12
  39. 39.The mean of 7 numbers is 17. When the number 1 is added to them, what is the new mean? (a) 17 (b) 15 (c) 9 (d) 16
  40. 40.What is the mean of 7, 11, 8 and 6? (a) 7 (b) 9 (c) 10 (d) 8

Answer key

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

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