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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 555 · 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 20, 13, 9, 11 and 7? (a) 10 (b) 15 (c) 13 (d) 12
  2. 2.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 16 (b) 19 (c) 18 (d) 17
  3. 3.What is the mean of 7, 18, 20 and 15? (a) 16 (b) 12 (c) 15 (d) 20
  4. 4.What is the median of 33, 38, 21, 4 and 30? (a) 21 (b) 33 (c) 30 (d) 31
  5. 5.What is the mean of 6, 13, 16, 10 and 20? (a) 12 (b) 14 (c) 13 (d) 15
  6. 6.What is the median of 7, 31, 35, 13, 20, 19 and 37? (a) 13 (b) 31 (c) 19 (d) 20
  7. 7.What is the mode of 4, 17, 4, 3, 4, 20 and 17? (a) 4 (b) 17 (c) 3 (d) 20
  8. 8.What is the mode of 7, 9, 7, 14, 7, 9 and 3? (a) 9 (b) 7 (c) 3 (d) 14
  9. 9.What is the median of 20, 8, 28, 17, 26, 7 and 2? (a) 18 (b) 8 (c) 20 (d) 17
  10. 10.What is the mean of 6, 8, 15, 17, 11 and 15? (a) 13 (b) 12 (c) 14 (d) 11
  11. 11.What is the mean of 7, 16, 8 and 17? (a) 13 (b) 12 (c) 16 (d) 11
  12. 12.The mean of 9 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 43 (b) 50 (c) 40 (d) 42
  13. 13.What is the mean of 6, 3, 15 and 12? (a) 12 (b) 9 (c) 8 (d) 10
  14. 14.What is the mode of 8, 20, 8, 20, 8, 6 and 18? (a) 18 (b) 8 (c) 6 (d) 20
  15. 15.What is the mode of 14, 4, 12, 12, 19, 4 and 12? (a) 12 (b) 19 (c) 14 (d) 4
  16. 16.What is the mean of 16, 17, 8 and 23? (a) 15 (b) 17 (c) 18 (d) 16
  17. 17.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 14 (b) 13 (c) 10 (d) 16
  18. 18.What is the mean of 18, 13, 13, 20, 17 and 21? (a) 17 (b) 16 (c) 19 (d) 18
  19. 19.What is the mean of 16, 4, 7, 13, 10 and 22? (a) 13 (b) 14 (c) 11 (d) 12
  20. 20.What is the mean of 4, 6, 8, 16, 4 and 22? (a) 11 (b) 9 (c) 12 (d) 10
  21. 21.The mean of 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 27
  22. 22.What is the median of 31, 25, 38, 4 and 32? (a) 38 (b) 31 (c) 26 (d) 32
  23. 23.What is the median of 10, 11, 27, 12, 3, 34 and 4? (a) 10 (b) 12 (c) 11 (d) 13
  24. 24.What is the mode of 2, 16, 2, 7, 7, 7 and 1? (a) 16 (b) 7 (c) 2 (d) 1
  25. 25.What is the mode of 4, 4, 19, 13, 16, 4 and 13? (a) 13 (b) 19 (c) 4 (d) 16
  26. 26.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 27 (b) 30 (c) 34 (d) 29
  27. 27.The mean of 3 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 19
  28. 28.What is the median of 38, 11, 27, 15 and 14? (a) 15 (b) 14 (c) 27 (d) 21
  29. 29.What is the mode of 9, 2, 9, 8, 8, 9 and 15? (a) 8 (b) 2 (c) 9 (d) 15
  30. 30.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 31 (b) 29 (c) 26 (d) 30
  31. 31.What is the mean of 6, 2, 3, 20, 4 and 19? (a) 9 (b) 8 (c) 11 (d) 10
  32. 32.What is the mean of 7, 6, 11 and 4? (a) 8 (b) 6 (c) 7 (d) 9
  33. 33.What is the mode of 17, 11, 6, 8, 6, 8 and 6? (a) 17 (b) 6 (c) 8 (d) 11
  34. 34.What is the mean of 5, 12, 18, 19 and 16? (a) 14 (b) 16 (c) 15 (d) 13
  35. 35.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 21 (b) 25 (c) 23 (d) 22
  36. 36.What is the mode of 4, 13, 1, 1, 4, 1 and 17? (a) 1 (b) 4 (c) 17 (d) 13
  37. 37.What is the median of 3, 34, 11, 14, 20, 4 and 32? (a) 14 (b) 15 (c) 11 (d) 20
  38. 38.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 33 (b) 36 (c) 35 (d) 43
  39. 39.What is the mean of 6, 5, 20, 4, 4 and 15? (a) 8 (b) 10 (c) 11 (d) 9
  40. 40.What is the median of 17, 21, 8, 13, 14, 7 and 10? (a) 10 (b) 14 (c) 12 (d) 13

Answer key

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

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