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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 619 · 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 median of 2, 15, 25, 3, 20, 10 and 24? (a) 15 (b) 10 (c) 20 (d) 3
  2. 2.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 16
  3. 3.What is the median of 23, 40, 3, 16 and 19? (a) 23 (b) 19 (c) 3 (d) 16
  4. 4.What is the mean of 9, 12, 16, 4 and 19? (a) 15 (b) 12 (c) 10 (d) 13
  5. 5.What is the mean of 9, 18, 3 and 10? (a) 9 (b) 8 (c) 11 (d) 10
  6. 6.The mean of 8 numbers is 13. When the number 31 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 22
  7. 7.What is the median of 10, 34, 3, 13, 1, 4 and 15? (a) 13 (b) 11 (c) 4 (d) 10
  8. 8.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 36
  9. 9.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 30 (b) 31 (c) 36 (d) 26
  10. 10.What is the mode of 15, 4, 5, 11, 11, 5 and 5? (a) 15 (b) 4 (c) 5 (d) 11
  11. 11.What is the mode of 19, 9, 2, 13, 13, 2 and 13? (a) 2 (b) 19 (c) 9 (d) 13
  12. 12.What is the median of 29, 22, 6, 32 and 21? (a) 29 (b) 6 (c) 22 (d) 21
  13. 13.The mean of 6 numbers is 35. When the number 42 is added to them, what is the new mean? (a) 36 (b) 38 (c) 37 (d) 35
  14. 14.What is the mean of 20, 13, 9 and 18? (a) 12 (b) 20 (c) 15 (d) 16
  15. 15.What is the mode of 4, 12, 19, 4, 14, 12 and 4? (a) 4 (b) 19 (c) 12 (d) 14
  16. 16.The mean of 9 numbers is 39. When the number 69 is added to them, what is the new mean? (a) 54 (b) 43 (c) 39 (d) 42
  17. 17.What is the mean of 6, 8, 12, 12 and 22? (a) 10 (b) 15 (c) 12 (d) 13
  18. 18.What is the median of 40, 38, 35, 29 and 13? (a) 35 (b) 38 (c) 29 (d) 31
  19. 19.What is the mode of 6, 5, 17, 5, 20, 17 and 5? (a) 20 (b) 5 (c) 6 (d) 17
  20. 20.What is the median of 4, 24, 15, 22, 37, 7 and 26? (a) 23 (b) 24 (c) 22 (d) 15
  21. 21.What is the median of 3, 6, 9, 27, 29, 13 and 31? (a) 13 (b) 9 (c) 27 (d) 14
  22. 22.What is the median of 24, 30, 32, 25 and 33? (a) 25 (b) 32 (c) 30 (d) 31
  23. 23.What is the mean of 18, 3, 3, 6 and 20? (a) 9 (b) 12 (c) 11 (d) 10
  24. 24.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
  25. 25.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 27 (b) 23 (c) 38 (d) 26
  26. 26.The mean of 7 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 41 (b) 44 (c) 40 (d) 42
  27. 27.What is the mode of 2, 15, 8, 10, 8, 10 and 10? (a) 10 (b) 15 (c) 8 (d) 2
  28. 28.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 35 (c) 36 (d) 34
  29. 29.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 15 (b) 18 (c) 20 (d) 19
  30. 30.What is the mean of 20, 5, 20, 2 and 18? (a) 12 (b) 13 (c) 15 (d) 14
  31. 31.What is the mode of 2, 18, 17, 17, 18, 10 and 17? (a) 10 (b) 2 (c) 17 (d) 18
  32. 32.What is the mode of 10, 20, 19, 20, 10, 15 and 20? (a) 15 (b) 19 (c) 20 (d) 10
  33. 33.What is the mean of 17, 10, 19 and 2? (a) 16 (b) 13 (c) 12 (d) 11
  34. 34.What is the mean of 3, 11, 7, 10, 5 and 12? (a) 9 (b) 10 (c) 7 (d) 8
  35. 35.What is the mode of 8, 10, 9, 12, 12, 8 and 8? (a) 9 (b) 8 (c) 12 (d) 10
  36. 36.What is the median of 12, 3, 38, 2, 8, 28 and 13? (a) 2 (b) 8 (c) 12 (d) 13
  37. 37.What is the median of 6, 40, 16, 2, 24, 12 and 36? (a) 2 (b) 24 (c) 12 (d) 16
  38. 38.What is the median of 37, 20, 33, 12, 2, 35 and 11? (a) 20 (b) 33 (c) 12 (d) 21
  39. 39.The mean of 4 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 22 (b) 19 (c) 18 (d) 12
  40. 40.The mean of 4 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 28

Answer key

  1. 15
  2. 13
  3. 19
  4. 12
  5. 10
  6. 15
  7. 10
  8. 35
  9. 30
  10. 5
  11. 13
  12. 22
  13. 36
  14. 15
  15. 4
  16. 42
  17. 12
  18. 35
  19. 5
  20. 22
  21. 13
  22. 30
  23. 10
  24. 34
  25. 26
  26. 41
  27. 10
  28. 34
  29. 18
  30. 13
  31. 17
  32. 20
  33. 12
  34. 8
  35. 8
  36. 12
  37. 16
  38. 20
  39. 18
  40. 31

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