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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 210 · 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, 20, 6 and 16? (a) 11 (b) 13 (c) 10 (d) 12
  2. 2.What is the mean of 4, 6, 18 and 20? (a) 12 (b) 13 (c) 16 (d) 11
  3. 3.The mean of 6 numbers is 30. When the number 51 is added to them, what is the new mean? (a) 32 (b) 30 (c) 34 (d) 33
  4. 4.What is the mean of 4, 20, 9, 2 and 10? (a) 8 (b) 9 (c) 11 (d) 10
  5. 5.The mean of 9 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 33 (b) 32 (c) 31 (d) 23
  6. 6.What is the mode of 19, 19, 19, 3, 20, 13 and 20? (a) 3 (b) 20 (c) 13 (d) 19
  7. 7.What is the mean of 3, 8, 4, 16, 3 and 8? (a) 6 (b) 9 (c) 7 (d) 8
  8. 8.What is the median of 9, 5, 7, 10 and 33? (a) 8 (b) 10 (c) 7 (d) 9
  9. 9.What is the mode of 7, 7, 20, 7, 5, 5 and 15? (a) 7 (b) 15 (c) 5 (d) 20
  10. 10.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 9 (c) 8 (d) 11
  11. 11.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 26 (b) 40 (c) 30 (d) 31
  12. 12.What is the mean of 17, 12, 18 and 9? (a) 13 (b) 15 (c) 14 (d) 16
  13. 13.What is the median of 35, 33, 4, 23, 18, 26 and 40? (a) 23 (b) 26 (c) 33 (d) 27
  14. 14.What is the median of 2, 15, 26, 7 and 37? (a) 15 (b) 16 (c) 26 (d) 7
  15. 15.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 36
  16. 16.What is the median of 6, 7, 13, 1 and 37? (a) 7 (b) 8 (c) 13 (d) 6
  17. 17.What is the mean of 19, 14, 13 and 10? (a) 13 (b) 14 (c) 15 (d) 16
  18. 18.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 30
  19. 19.What is the mode of 7, 7, 11, 5, 2, 7 and 11? (a) 11 (b) 7 (c) 5 (d) 2
  20. 20.What is the mean of 12, 15, 18, 13, 6 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  21. 21.What is the mean of 8, 6, 9, 20, 14 and 21? (a) 15 (b) 12 (c) 14 (d) 13
  22. 22.What is the mode of 4, 2, 14, 14, 4, 14 and 12? (a) 14 (b) 2 (c) 4 (d) 12
  23. 23.The mean of 4 numbers is 35. When the number 30 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 33
  24. 24.What is the mode of 12, 13, 2, 2, 13, 13 and 11? (a) 13 (b) 2 (c) 12 (d) 11
  25. 25.What is the mode of 9, 19, 19, 9, 19, 4 and 15? (a) 9 (b) 4 (c) 19 (d) 15
  26. 26.The mean of 3 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 20 (b) 25 (c) 24 (d) 28
  27. 27.What is the median of 19, 35, 32, 39 and 26? (a) 26 (b) 32 (c) 35 (d) 33
  28. 28.What is the mean of 6, 2, 20 and 20? (a) 12 (b) 16 (c) 13 (d) 11
  29. 29.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 30 (b) 21 (c) 31 (d) 29
  30. 30.The mean of 7 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 32
  31. 31.What is the median of 9, 32, 35, 3, 16, 23 and 25? (a) 25 (b) 16 (c) 23 (d) 3
  32. 32.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
  33. 33.What is the median of 6, 10, 37, 35 and 39? (a) 37 (b) 36 (c) 10 (d) 35
  34. 34.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 33 (b) 30 (c) 31 (d) 29
  35. 35.What is the mean of 5, 8, 10, 5, 7 and 13? (a) 8 (b) 10 (c) 9 (d) 7
  36. 36.What is the median of 32, 34, 18, 23 and 17? (a) 18 (b) 32 (c) 23 (d) 24
  37. 37.What is the mean of 6, 2, 14, 13 and 20? (a) 10 (b) 11 (c) 12 (d) 13
  38. 38.What is the median of 26, 1, 13, 18, 36, 22 and 20? (a) 22 (b) 18 (c) 20 (d) 21
  39. 39.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 21 (b) 18 (c) 20 (d) 22
  40. 40.What is the median of 6, 24, 15, 10, 2, 5 and 14? (a) 6 (b) 11 (c) 14 (d) 10

Answer key

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

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