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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 548 · 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 2, 4, 16, 17 and 16? (a) 10 (b) 13 (c) 11 (d) 12
  2. 2.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 20
  3. 3.What is the mode of 15, 2, 16, 4, 16, 15 and 15? (a) 16 (b) 15 (c) 2 (d) 4
  4. 4.What is the mode of 20, 13, 12, 3, 13, 13 and 12? (a) 3 (b) 20 (c) 12 (d) 13
  5. 5.What is the median of 28, 31, 4, 11, 23, 12 and 21? (a) 21 (b) 11 (c) 23 (d) 12
  6. 6.What is the mode of 5, 15, 15, 8, 5, 11 and 5? (a) 5 (b) 15 (c) 8 (d) 11
  7. 7.What is the median of 31, 23, 21, 6, 25, 38 and 35? (a) 23 (b) 6 (c) 31 (d) 25
  8. 8.What is the median of 4, 32, 29, 17 and 20? (a) 21 (b) 20 (c) 17 (d) 29
  9. 9.The mean of 3 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 33 (b) 27 (c) 31 (d) 30
  10. 10.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 30 (b) 20 (c) 31 (d) 34
  11. 11.The mean of 5 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 24 (b) 30 (c) 33 (d) 31
  12. 12.What is the median of 28, 3, 10, 29 and 26? (a) 26 (b) 10 (c) 27 (d) 28
  13. 13.What is the mode of 6, 5, 7, 6, 5, 6 and 4? (a) 5 (b) 4 (c) 6 (d) 7
  14. 14.What is the mean of 15, 2, 7, 3, 7 and 14? (a) 9 (b) 8 (c) 7 (d) 10
  15. 15.The mean of 9 numbers is 23. When the number 63 is added to them, what is the new mean? (a) 43 (b) 28 (c) 27 (d) 23
  16. 16.What is the mode of 9, 11, 4, 9, 11, 7 and 9? (a) 7 (b) 9 (c) 11 (d) 4
  17. 17.What is the median of 38, 4, 9, 27 and 18? (a) 27 (b) 19 (c) 18 (d) 9
  18. 18.The mean of 3 numbers is 13. When the number 9 is added to them, what is the new mean? (a) 14 (b) 12 (c) 13 (d) 11
  19. 19.What is the mode of 19, 18, 1, 7, 7, 18 and 18? (a) 7 (b) 19 (c) 1 (d) 18
  20. 20.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 31 (b) 22 (c) 34 (d) 32
  21. 21.What is the mean of 19, 4, 18, 8, 11 and 6? (a) 13 (b) 10 (c) 12 (d) 11
  22. 22.What is the median of 7, 6, 22, 30 and 34? (a) 7 (b) 30 (c) 23 (d) 22
  23. 23.What is the mean of 4, 3, 17, 18, 15 and 15? (a) 14 (b) 13 (c) 12 (d) 11
  24. 24.What is the mean of 18, 13, 6, 10 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  25. 25.The mean of 8 numbers is 17. When the number 8 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 17
  26. 26.What is the mode of 10, 14, 5, 5, 12, 12 and 12? (a) 5 (b) 10 (c) 12 (d) 14
  27. 27.What is the median of 18, 29, 16, 8, 12, 25 and 4? (a) 16 (b) 18 (c) 12 (d) 8
  28. 28.What is the mode of 6, 16, 1, 6, 1, 20 and 6? (a) 20 (b) 1 (c) 16 (d) 6
  29. 29.What is the mean of 3, 8, 8, 17 and 4? (a) 8 (b) 7 (c) 9 (d) 10
  30. 30.What is the mean of 6, 11, 4 and 19? (a) 10 (b) 11 (c) 9 (d) 8
  31. 31.What is the mean of 5, 17, 4, 16, 8 and 16? (a) 12 (b) 10 (c) 13 (d) 11
  32. 32.What is the mode of 11, 18, 2, 3, 3, 18 and 18? (a) 11 (b) 3 (c) 2 (d) 18
  33. 33.What is the mean of 17, 6, 10, 15, 13 and 17? (a) 12 (b) 15 (c) 14 (d) 13
  34. 34.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 32 (b) 24 (c) 33 (d) 34
  35. 35.What is the mean of 17, 9, 2 and 8? (a) 12 (b) 8 (c) 10 (d) 9
  36. 36.What is the mode of 11, 11, 11, 2, 7, 16 and 16? (a) 7 (b) 2 (c) 16 (d) 11
  37. 37.What is the mode of 20, 15, 4, 18, 15, 15 and 18? (a) 18 (b) 15 (c) 20 (d) 4
  38. 38.What is the mean of 19, 6, 10, 9, 20 and 8? (a) 14 (b) 11 (c) 12 (d) 13
  39. 39.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 20 (b) 21 (c) 22 (d) 19
  40. 40.What is the mode of 19, 4, 15, 4, 19, 4 and 8? (a) 19 (b) 15 (c) 4 (d) 8

Answer key

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

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