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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 877 · 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 18, 13, 17, 16, 4 and 4? (a) 13 (b) 14 (c) 12 (d) 11
  2. 2.What is the median of 18, 5, 21, 7 and 26? (a) 21 (b) 7 (c) 19 (d) 18
  3. 3.What is the mean of 18, 20, 18, 5, 15 and 8? (a) 14 (b) 12 (c) 13 (d) 15
  4. 4.What is the mean of 17, 17, 17, 20, 19 and 18? (a) 17 (b) 18 (c) 20 (d) 19
  5. 5.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 16 (b) 14 (c) 12 (d) 15
  6. 6.What is the mean of 9, 10, 20, 15 and 16? (a) 14 (b) 16 (c) 15 (d) 13
  7. 7.What is the mode of 6, 2, 2, 6, 9, 2 and 5? (a) 9 (b) 5 (c) 2 (d) 6
  8. 8.What is the mean of 20, 17, 8, 17, 18 and 16? (a) 16 (b) 17 (c) 15 (d) 18
  9. 9.What is the mode of 13, 20, 8, 8, 19, 8 and 20? (a) 20 (b) 13 (c) 19 (d) 8
  10. 10.What is the mean of 20, 12, 3, 5, 8 and 6? (a) 8 (b) 10 (c) 11 (d) 9
  11. 11.What is the mean of 2, 13, 12 and 21? (a) 13 (b) 11 (c) 16 (d) 12
  12. 12.What is the mode of 3, 14, 16, 3, 2, 3 and 14? (a) 16 (b) 3 (c) 2 (d) 14
  13. 13.What is the mode of 6, 13, 11, 1, 11, 6 and 11? (a) 1 (b) 11 (c) 13 (d) 6
  14. 14.What is the mode of 3, 2, 8, 1, 1, 3 and 3? (a) 1 (b) 3 (c) 8 (d) 2
  15. 15.What is the mode of 9, 8, 9, 20, 9, 20 and 14? (a) 20 (b) 9 (c) 14 (d) 8
  16. 16.What is the median of 11, 28, 25, 2, 20, 3 and 39? (a) 20 (b) 11 (c) 25 (d) 2
  17. 17.What is the median of 33, 10, 19, 29 and 13? (a) 19 (b) 13 (c) 20 (d) 29
  18. 18.What is the mean of 15, 9, 12, 9, 17 and 22? (a) 15 (b) 13 (c) 12 (d) 14
  19. 19.What is the mode of 16, 4, 7, 1, 1, 16 and 16? (a) 1 (b) 7 (c) 16 (d) 4
  20. 20.What is the mean of 6, 10, 3 and 17? (a) 9 (b) 8 (c) 12 (d) 10
  21. 21.What is the mode of 20, 20, 20, 9, 9, 2 and 1? (a) 2 (b) 1 (c) 9 (d) 20
  22. 22.What is the mean of 20, 8, 14 and 14? (a) 14 (b) 15 (c) 13 (d) 16
  23. 23.What is the median of 17, 38, 14, 25, 27, 6 and 3? (a) 25 (b) 18 (c) 17 (d) 14
  24. 24.What is the mode of 7, 11, 20, 19, 20, 11 and 20? (a) 11 (b) 20 (c) 19 (d) 7
  25. 25.What is the median of 9, 13, 22, 23 and 30? (a) 13 (b) 22 (c) 23 (d) 21
  26. 26.The mean of 7 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 35 (b) 39 (c) 37 (d) 36
  27. 27.What is the median of 7, 38, 30, 17, 27, 33 and 21? (a) 21 (b) 30 (c) 17 (d) 27
  28. 28.What is the mode of 18, 11, 13, 7, 7, 7 and 11? (a) 13 (b) 18 (c) 7 (d) 11
  29. 29.What is the mean of 4, 5, 11, 12 and 8? (a) 8 (b) 7 (c) 10 (d) 9
  30. 30.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 33
  31. 31.The mean of 6 numbers is 26. When the number 19 is added to them, what is the new mean? (a) 26 (b) 27 (c) 24 (d) 25
  32. 32.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 31 (b) 23 (c) 28 (d) 27
  33. 33.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 31 (b) 33 (c) 41 (d) 34
  34. 34.The mean of 9 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 11 (c) 20 (d) 19
  35. 35.The mean of 8 numbers is 38. When the number 65 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 42
  36. 36.What is the mean of 2, 9, 9, 19 and 11? (a) 9 (b) 11 (c) 12 (d) 10
  37. 37.What is the median of 20, 5, 14, 8, 28, 32 and 35? (a) 20 (b) 8 (c) 28 (d) 14
  38. 38.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 24 (b) 20 (c) 29 (d) 23
  39. 39.What is the mean of 6, 6, 10 and 10? (a) 7 (b) 8 (c) 10 (d) 9
  40. 40.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 24 (b) 23 (c) 26 (d) 25

Answer key

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

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