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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 890 · 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 18, 10, 10, 10, 19, 7 and 7? (a) 19 (b) 18 (c) 10 (d) 7
  2. 2.What is the mean of 12, 8, 10, 3, 2 and 19? (a) 10 (b) 8 (c) 11 (d) 9
  3. 3.What is the median of 8, 38, 40, 2, 24, 14 and 25? (a) 2 (b) 14 (c) 24 (d) 25
  4. 4.What is the median of 32, 12, 22, 8, 7, 21 and 6? (a) 13 (b) 21 (c) 8 (d) 12
  5. 5.The mean of 6 numbers is 13. When the number 41 is added to them, what is the new mean? (a) 27 (b) 18 (c) 13 (d) 17
  6. 6.What is the mean of 16, 15, 2 and 3? (a) 9 (b) 12 (c) 10 (d) 8
  7. 7.The mean of 7 numbers is 40. When the number 56 is added to them, what is the new mean? (a) 48 (b) 40 (c) 42 (d) 43
  8. 8.What is the mean of 11, 8, 6 and 15? (a) 9 (b) 11 (c) 10 (d) 8
  9. 9.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 28 (b) 34 (c) 30 (d) 31
  10. 10.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 45 (b) 36 (c) 39 (d) 38
  11. 11.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 31 (b) 30 (c) 34 (d) 18
  12. 12.What is the mode of 11, 5, 14, 11, 5, 5 and 3? (a) 3 (b) 14 (c) 5 (d) 11
  13. 13.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  14. 14.What is the mode of 4, 18, 4, 11, 16, 16 and 16? (a) 18 (b) 4 (c) 11 (d) 16
  15. 15.The mean of 4 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 38 (b) 37 (c) 40 (d) 35
  16. 16.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 20 (b) 21 (c) 22 (d) 18
  17. 17.What is the median of 20, 40, 34, 13 and 27? (a) 34 (b) 28 (c) 20 (d) 27
  18. 18.What is the mode of 9, 9, 17, 17, 10, 13 and 17? (a) 9 (b) 10 (c) 17 (d) 13
  19. 19.What is the median of 32, 36, 35, 8 and 4? (a) 32 (b) 23 (c) 35 (d) 8
  20. 20.What is the mean of 6, 7, 18, 15, 19 and 19? (a) 14 (b) 15 (c) 12 (d) 13
  21. 21.What is the median of 10, 29, 27, 31 and 18? (a) 27 (b) 29 (c) 23 (d) 18
  22. 22.What is the mode of 5, 16, 10, 5, 10, 5 and 6? (a) 6 (b) 5 (c) 16 (d) 10
  23. 23.What is the mode of 5, 18, 16, 8, 5, 16 and 16? (a) 18 (b) 5 (c) 8 (d) 16
  24. 24.What is the mean of 5, 3, 14 and 10? (a) 7 (b) 8 (c) 9 (d) 10
  25. 25.What is the median of 5, 35, 38, 1 and 20? (a) 20 (b) 35 (c) 38 (d) 5
  26. 26.What is the mean of 17, 7, 8, 14, 9 and 5? (a) 11 (b) 9 (c) 10 (d) 12
  27. 27.What is the mode of 12, 9, 4, 9, 9, 4 and 19? (a) 9 (b) 4 (c) 19 (d) 12
  28. 28.What is the mean of 6, 20, 6, 2 and 11? (a) 11 (b) 10 (c) 9 (d) 8
  29. 29.What is the median of 23, 5, 39, 7, 16, 31 and 24? (a) 24 (b) 7 (c) 16 (d) 23
  30. 30.The mean of 8 numbers is 35. When the number 71 is added to them, what is the new mean? (a) 40 (b) 35 (c) 53 (d) 39
  31. 31.The mean of 5 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 39 (b) 42 (c) 38 (d) 36
  32. 32.What is the mean of 8, 20, 17 and 15? (a) 16 (b) 15 (c) 20 (d) 12
  33. 33.What is the mode of 17, 15, 15, 18, 17, 17 and 19? (a) 18 (b) 15 (c) 19 (d) 17
  34. 34.What is the median of 5, 3, 13, 12, 1, 34 and 17? (a) 13 (b) 12 (c) 11 (d) 5
  35. 35.What is the median of 29, 14, 24, 19 and 26? (a) 25 (b) 19 (c) 24 (d) 26
  36. 36.The mean of 9 numbers is 26. When the number 16 is added to them, what is the new mean? (a) 26 (b) 24 (c) 21 (d) 25
  37. 37.What is the mean of 10, 18, 2, 7 and 8? (a) 10 (b) 8 (c) 9 (d) 11
  38. 38.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 22 (b) 15 (c) 10 (d) 14
  39. 39.What is the median of 37, 25, 13, 5 and 6? (a) 6 (b) 13 (c) 14 (d) 25
  40. 40.What is the mean of 12, 2, 3, 17, 8 and 6? (a) 8 (b) 10 (c) 9 (d) 7

Answer key

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

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