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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 435 · 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 7, 7, 11, 17, 14, 11 and 11? (a) 14 (b) 7 (c) 17 (d) 11
  2. 2.The mean of 8 numbers is 25. When the number 52 is added to them, what is the new mean? (a) 25 (b) 27 (c) 29 (d) 28
  3. 3.What is the mean of 5, 7, 9, 14 and 20? (a) 11 (b) 13 (c) 12 (d) 10
  4. 4.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 49 (b) 37 (c) 42 (d) 41
  5. 5.What is the mean of 17, 20, 2, 19, 8 and 6? (a) 11 (b) 13 (c) 14 (d) 12
  6. 6.The mean of 5 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 14 (b) 17 (c) 18 (d) 23
  7. 7.The mean of 7 numbers is 34. When the number 18 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 26
  8. 8.What is the mean of 2, 14, 3, 12 and 19? (a) 9 (b) 12 (c) 11 (d) 10
  9. 9.What is the median of 29, 8, 24, 21, 9, 38 and 26? (a) 24 (b) 25 (c) 21 (d) 26
  10. 10.What is the mean of 11, 14, 5, 15, 13 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  11. 11.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 32 (b) 35 (c) 33 (d) 34
  12. 12.What is the median of 16, 11, 38, 32, 17, 21 and 20? (a) 20 (b) 32 (c) 21 (d) 17
  13. 13.What is the mean of 5, 7, 17, 5 and 6? (a) 7 (b) 9 (c) 8 (d) 10
  14. 14.What is the mode of 15, 17, 16, 15, 19, 17 and 15? (a) 19 (b) 17 (c) 16 (d) 15
  15. 15.What is the median of 26, 31, 6, 35, 30, 24 and 28? (a) 28 (b) 30 (c) 35 (d) 26
  16. 16.What is the median of 26, 16, 20, 8 and 29? (a) 16 (b) 20 (c) 26 (d) 21
  17. 17.What is the mode of 2, 2, 13, 13, 3, 16 and 13? (a) 16 (b) 13 (c) 3 (d) 2
  18. 18.What is the mode of 19, 18, 5, 10, 10, 19 and 10? (a) 18 (b) 5 (c) 19 (d) 10
  19. 19.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 19
  20. 20.What is the median of 1, 31, 7, 19, 9, 35 and 2? (a) 10 (b) 7 (c) 9 (d) 19
  21. 21.What is the median of 21, 15, 9, 23, 40, 22 and 35? (a) 23 (b) 22 (c) 21 (d) 24
  22. 22.What is the mean of 20, 4, 3, 13 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  23. 23.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 26 (c) 27 (d) 34
  24. 24.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 27 (b) 31 (c) 42 (d) 30
  25. 25.What is the mode of 9, 3, 8, 3, 19, 19 and 19? (a) 19 (b) 9 (c) 3 (d) 8
  26. 26.What is the median of 35, 19, 26, 37 and 14? (a) 19 (b) 27 (c) 35 (d) 26
  27. 27.What is the mean of 5, 9, 16, 13 and 17? (a) 12 (b) 15 (c) 10 (d) 13
  28. 28.The mean of 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 23
  29. 29.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 42 (b) 39 (c) 40 (d) 37
  30. 30.The mean of 5 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 33 (b) 31 (c) 24 (d) 30
  31. 31.What is the mode of 5, 2, 15, 15, 9, 15 and 2? (a) 9 (b) 2 (c) 5 (d) 15
  32. 32.What is the mode of 8, 4, 13, 13, 8, 11 and 13? (a) 11 (b) 4 (c) 13 (d) 8
  33. 33.What is the mode of 2, 15, 4, 19, 2, 2 and 15? (a) 4 (b) 2 (c) 15 (d) 19
  34. 34.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 14 (b) 18 (c) 17 (d) 16
  35. 35.What is the mode of 12, 14, 14, 6, 4, 4 and 4? (a) 12 (b) 4 (c) 14 (d) 6
  36. 36.What is the mean of 4, 15, 5 and 12? (a) 8 (b) 12 (c) 10 (d) 9
  37. 37.What is the median of 38, 37, 39, 34 and 17? (a) 39 (b) 38 (c) 37 (d) 33
  38. 38.What is the mean of 13, 5, 5, 12, 9 and 4? (a) 10 (b) 7 (c) 8 (d) 9
  39. 39.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 25
  40. 40.What is the mean of 5, 19, 3, 18 and 20? (a) 13 (b) 14 (c) 12 (d) 15

Answer key

  1. 11
  2. 28
  3. 11
  4. 41
  5. 12
  6. 17
  7. 32
  8. 10
  9. 24
  10. 11
  11. 33
  12. 20
  13. 8
  14. 15
  15. 28
  16. 20
  17. 13
  18. 10
  19. 20
  20. 9
  21. 22
  22. 10
  23. 26
  24. 30
  25. 19
  26. 26
  27. 12
  28. 22
  29. 39
  30. 30
  31. 15
  32. 13
  33. 2
  34. 17
  35. 4
  36. 9
  37. 37
  38. 8
  39. 25
  40. 13

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