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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 559 · 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 11, 19, 2, 13, 20 and 13? (a) 13 (b) 14 (c) 15 (d) 12
  2. 2.What is the mean of 9, 20, 5 and 10? (a) 10 (b) 12 (c) 11 (d) 13
  3. 3.The mean of 8 numbers is 20. When the number 47 is added to them, what is the new mean? (a) 22 (b) 20 (c) 24 (d) 23
  4. 4.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 10 (b) 8 (c) 11 (d) 9
  5. 5.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 18 (b) 13 (c) 23 (d) 17
  6. 6.What is the mode of 4, 17, 19, 11, 17, 17 and 19? (a) 11 (b) 4 (c) 19 (d) 17
  7. 7.What is the mode of 5, 5, 9, 9, 1, 9 and 13? (a) 13 (b) 9 (c) 1 (d) 5
  8. 8.The mean of 6 numbers is 27. When the number 48 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 31
  9. 9.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 24 (b) 22 (c) 21 (d) 19
  10. 10.What is the median of 13, 5, 1, 26 and 6? (a) 13 (b) 1 (c) 6 (d) 5
  11. 11.The mean of 4 numbers is 40. When the number 25 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 36
  12. 12.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 33
  13. 13.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 28
  14. 14.What is the median of 3, 31, 22, 25 and 7? (a) 7 (b) 25 (c) 23 (d) 22
  15. 15.What is the median of 9, 6, 11, 5, 17, 36 and 2? (a) 5 (b) 9 (c) 11 (d) 6
  16. 16.What is the mode of 17, 7, 7, 17, 18, 5 and 7? (a) 17 (b) 18 (c) 7 (d) 5
  17. 17.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 17 (b) 18 (c) 20 (d) 15
  18. 18.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 40 (b) 37 (c) 38 (d) 39
  19. 19.What is the median of 28, 11, 16, 36 and 10? (a) 17 (b) 28 (c) 16 (d) 11
  20. 20.What is the median of 30, 38, 32, 17 and 39? (a) 30 (b) 32 (c) 33 (d) 38
  21. 21.What is the mean of 5, 18, 8, 15 and 9? (a) 12 (b) 10 (c) 13 (d) 11
  22. 22.What is the mean of 11, 18, 18 and 13? (a) 16 (b) 12 (c) 20 (d) 15
  23. 23.What is the median of 24, 7, 33, 11, 18, 34 and 40? (a) 24 (b) 11 (c) 18 (d) 33
  24. 24.What is the median of 1, 23, 29, 11, 17, 30 and 24? (a) 11 (b) 24 (c) 17 (d) 23
  25. 25.What is the mode of 14, 3, 2, 14, 11, 3 and 3? (a) 3 (b) 11 (c) 14 (d) 2
  26. 26.The mean of 6 numbers is 34. When the number 62 is added to them, what is the new mean? (a) 38 (b) 34 (c) 48 (d) 39
  27. 27.What is the mode of 10, 10, 11, 16, 3, 16 and 16? (a) 16 (b) 3 (c) 11 (d) 10
  28. 28.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 24
  29. 29.What is the median of 17, 22, 16, 29, 33, 10 and 35? (a) 29 (b) 17 (c) 23 (d) 22
  30. 30.What is the median of 37, 1, 35, 28, 22, 8 and 17? (a) 23 (b) 22 (c) 28 (d) 17
  31. 31.What is the mean of 13, 5, 3, 9 and 15? (a) 9 (b) 8 (c) 11 (d) 10
  32. 32.What is the mean of 5, 4, 9, 17 and 20? (a) 10 (b) 12 (c) 11 (d) 13
  33. 33.The mean of 7 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 24 (b) 25 (c) 15 (d) 27
  34. 34.What is the mode of 3, 2, 4, 20, 2, 4 and 2? (a) 20 (b) 4 (c) 2 (d) 3
  35. 35.What is the mean of 6, 19, 9, 17, 16 and 11? (a) 14 (b) 12 (c) 15 (d) 13
  36. 36.The mean of 9 numbers is 13. When the number 53 is added to them, what is the new mean? (a) 17 (b) 18 (c) 33 (d) 13
  37. 37.The mean of 8 numbers is 13. When the number 49 is added to them, what is the new mean? (a) 31 (b) 18 (c) 17 (d) 13
  38. 38.What is the median of 12, 36, 24, 29, 13, 2 and 31? (a) 21 (b) 13 (c) 24 (d) 29
  39. 39.The mean of 6 numbers is 12. When the number 40 is added to them, what is the new mean? (a) 26 (b) 12 (c) 16 (d) 17
  40. 40.What is the median of 38, 20, 34, 26, 28, 4 and 18? (a) 20 (b) 28 (c) 26 (d) 24

Answer key

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

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