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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 155 · 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 15, 18, 20, 9, 18 and 10? (a) 18 (b) 16 (c) 14 (d) 15
  2. 2.The mean of 9 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 45 (b) 41 (c) 40 (d) 42
  3. 3.What is the mean of 19, 6, 4, 2, 12 and 17? (a) 11 (b) 9 (c) 10 (d) 12
  4. 4.What is the mode of 18, 17, 16, 18, 18, 12 and 16? (a) 18 (b) 12 (c) 17 (d) 16
  5. 5.What is the median of 8, 3, 11, 16, 27, 37 and 34? (a) 17 (b) 11 (c) 16 (d) 27
  6. 6.What is the mean of 15, 9, 5, 20 and 6? (a) 12 (b) 11 (c) 13 (d) 10
  7. 7.What is the median of 33, 37, 7, 28 and 35? (a) 33 (b) 28 (c) 7 (d) 35
  8. 8.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 28 (b) 16 (c) 29 (d) 31
  9. 9.What is the mean of 6, 14, 5, 14 and 6? (a) 8 (b) 10 (c) 9 (d) 11
  10. 10.What is the mode of 12, 13, 5, 13, 20, 20 and 20? (a) 12 (b) 20 (c) 5 (d) 13
  11. 11.What is the median of 11, 15, 31, 4, 12, 7 and 34? (a) 11 (b) 15 (c) 12 (d) 4
  12. 12.The mean of 3 numbers is 20. When the number 16 is added to them, what is the new mean? (a) 18 (b) 20 (c) 21 (d) 19
  13. 13.The mean of 6 numbers is 31. When the number 52 is added to them, what is the new mean? (a) 34 (b) 31 (c) 33 (d) 35
  14. 14.What is the mean of 19, 16, 17, 17, 12 and 9? (a) 18 (b) 14 (c) 16 (d) 15
  15. 15.What is the mode of 12, 10, 13, 12, 14, 12 and 10? (a) 14 (b) 12 (c) 10 (d) 13
  16. 16.What is the median of 12, 14, 11, 4, 24, 26 and 16? (a) 12 (b) 16 (c) 4 (d) 14
  17. 17.What is the mean of 18, 18, 19 and 9? (a) 15 (b) 17 (c) 18 (d) 16
  18. 18.What is the median of 32, 6, 4, 25 and 36? (a) 32 (b) 4 (c) 6 (d) 25
  19. 19.The mean of 5 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 32 (b) 31 (c) 28 (d) 37
  20. 20.What is the mean of 18, 19, 5 and 6? (a) 11 (b) 16 (c) 12 (d) 13
  21. 21.What is the mean of 8, 8, 20 and 4? (a) 10 (b) 8 (c) 9 (d) 11
  22. 22.What is the mode of 10, 18, 10, 5, 5, 10 and 9? (a) 18 (b) 5 (c) 10 (d) 9
  23. 23.What is the mode of 10, 4, 15, 15, 4, 3 and 4? (a) 10 (b) 4 (c) 3 (d) 15
  24. 24.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 10 (b) 14 (c) 15 (d) 28
  25. 25.What is the median of 4, 5, 24, 8, 27, 40 and 15? (a) 15 (b) 16 (c) 8 (d) 24
  26. 26.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 31 (b) 25 (c) 28 (d) 29
  27. 27.The mean of 5 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 32 (b) 26 (c) 31 (d) 30
  28. 28.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 22
  29. 29.What is the mode of 2, 19, 2, 5, 6, 2 and 19? (a) 5 (b) 6 (c) 2 (d) 19
  30. 30.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 36 (b) 28 (c) 33 (d) 32
  31. 31.What is the median of 4, 3, 12, 27, 7, 1 and 15? (a) 7 (b) 27 (c) 12 (d) 4
  32. 32.What is the median of 23, 32, 12, 17, 22, 26 and 19? (a) 17 (b) 19 (c) 23 (d) 22
  33. 33.What is the mode of 10, 7, 8, 20, 10, 8 and 10? (a) 20 (b) 8 (c) 7 (d) 10
  34. 34.What is the median of 17, 28, 4, 2, 40, 7 and 19? (a) 17 (b) 2 (c) 7 (d) 19
  35. 35.What is the mean of 20, 10, 8, 2 and 20? (a) 15 (b) 13 (c) 10 (d) 12
  36. 36.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 33 (b) 35 (c) 37 (d) 34
  37. 37.What is the mode of 17, 20, 13, 17, 15, 20 and 20? (a) 13 (b) 17 (c) 20 (d) 15
  38. 38.What is the mode of 4, 3, 4, 3, 4, 7 and 13? (a) 3 (b) 13 (c) 7 (d) 4
  39. 39.What is the mean of 19, 16, 11 and 6? (a) 15 (b) 13 (c) 14 (d) 12
  40. 40.The mean of 6 numbers is 32. When the number 39 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 33

Answer key

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

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