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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 792 · 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 mean of 5, 16, 9 and 6? (a) 12 (b) 8 (c) 9 (d) 10
  2. 2.The mean of 5 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 10
  3. 3.What is the mode of 1, 16, 14, 11, 1, 14 and 14? (a) 1 (b) 11 (c) 14 (d) 16
  4. 4.What is the mode of 14, 3, 9, 3, 20, 14 and 14? (a) 9 (b) 20 (c) 3 (d) 14
  5. 5.What is the mode of 9, 1, 1, 1, 4, 3 and 9? (a) 4 (b) 1 (c) 3 (d) 9
  6. 6.What is the mode of 3, 7, 13, 13, 13, 6 and 6? (a) 6 (b) 3 (c) 7 (d) 13
  7. 7.What is the mean of 5, 2, 3, 17 and 13? (a) 7 (b) 10 (c) 9 (d) 8
  8. 8.What is the mode of 17, 19, 17, 18, 18, 17 and 1? (a) 1 (b) 17 (c) 18 (d) 19
  9. 9.What is the mode of 15, 8, 7, 17, 17, 17 and 8? (a) 17 (b) 7 (c) 15 (d) 8
  10. 10.What is the median of 31, 23, 37, 21, 1, 36 and 12? (a) 24 (b) 31 (c) 23 (d) 21
  11. 11.What is the mean of 12, 2, 6, 5, 19 and 4? (a) 9 (b) 7 (c) 8 (d) 10
  12. 12.What is the mode of 6, 17, 8, 6, 8, 6 and 19? (a) 8 (b) 6 (c) 19 (d) 17
  13. 13.What is the mean of 7, 11, 13, 11, 7 and 11? (a) 12 (b) 10 (c) 9 (d) 11
  14. 14.What is the median of 37, 8, 14, 1 and 40? (a) 14 (b) 37 (c) 8 (d) 20
  15. 15.The mean of 8 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 39 (b) 32 (c) 30 (d) 33
  16. 16.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 22
  17. 17.What is the mean of 19, 10, 2 and 17? (a) 11 (b) 12 (c) 13 (d) 16
  18. 18.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 17 (b) 15 (c) 18 (d) 16
  19. 19.What is the mean of 12, 17, 9 and 6? (a) 13 (b) 11 (c) 10 (d) 12
  20. 20.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 17 (b) 20 (c) 27 (d) 19
  21. 21.What is the median of 21, 2, 13, 35 and 39? (a) 35 (b) 13 (c) 21 (d) 22
  22. 22.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 13 (b) 12 (c) 14 (d) 10
  23. 23.What is the mode of 3, 10, 3, 3, 10, 20 and 7? (a) 7 (b) 20 (c) 3 (d) 10
  24. 24.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 29 (b) 41 (c) 33 (d) 34
  25. 25.What is the mean of 8, 17, 16, 11 and 8? (a) 13 (b) 12 (c) 15 (d) 10
  26. 26.What is the mode of 10, 6, 14, 12, 6, 14 and 6? (a) 6 (b) 12 (c) 14 (d) 10
  27. 27.What is the mean of 9, 7, 6, 5, 9 and 6? (a) 8 (b) 7 (c) 9 (d) 6
  28. 28.What is the median of 7, 17, 13, 8, 23, 6 and 15? (a) 14 (b) 13 (c) 8 (d) 15
  29. 29.What is the mean of 14, 7, 2 and 5? (a) 6 (b) 7 (c) 9 (d) 8
  30. 30.What is the mode of 19, 19, 8, 8, 19, 2 and 6? (a) 6 (b) 8 (c) 19 (d) 2
  31. 31.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) 12 (d) 11
  32. 32.What is the mode of 9, 18, 18, 11, 5, 18 and 5? (a) 9 (b) 5 (c) 18 (d) 11
  33. 33.What is the mode of 9, 9, 18, 9, 1, 3 and 18? (a) 18 (b) 1 (c) 3 (d) 9
  34. 34.What is the mode of 9, 9, 9, 20, 17, 12 and 17? (a) 17 (b) 12 (c) 20 (d) 9
  35. 35.What is the mean of 17, 18, 2, 18 and 20? (a) 17 (b) 16 (c) 15 (d) 14
  36. 36.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 30 (b) 25 (c) 28 (d) 29
  37. 37.What is the mode of 12, 20, 6, 1, 20, 1 and 1? (a) 20 (b) 6 (c) 12 (d) 1
  38. 38.What is the mean of 4, 11, 5 and 12? (a) 10 (b) 8 (c) 9 (d) 7
  39. 39.The mean of 4 numbers is 39. When the number 54 is added to them, what is the new mean? (a) 42 (b) 41 (c) 43 (d) 39
  40. 40.What is the mean of 11, 19, 19 and 7? (a) 16 (b) 13 (c) 15 (d) 14

Answer key

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

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