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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 839 · 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 median of 6, 10, 19, 17 and 11? (a) 19 (b) 11 (c) 17 (d) 10
  2. 2.What is the mode of 2, 1, 17, 17, 1, 20 and 17? (a) 20 (b) 2 (c) 1 (d) 17
  3. 3.The mean of 6 numbers is 35. When the number 7 is added to them, what is the new mean? (a) 21 (b) 32 (c) 31 (d) 35
  4. 4.What is the mode of 2, 2, 7, 15, 7, 5 and 7? (a) 15 (b) 5 (c) 7 (d) 2
  5. 5.What is the mean of 18, 5, 19, 7 and 21? (a) 15 (b) 13 (c) 14 (d) 16
  6. 6.What is the median of 32, 21, 12, 16, 2, 34 and 9? (a) 18 (b) 21 (c) 16 (d) 12
  7. 7.What is the mode of 4, 4, 8, 17, 16, 16 and 16? (a) 4 (b) 16 (c) 8 (d) 17
  8. 8.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 26 (b) 30 (c) 29 (d) 31
  9. 9.What is the median of 7, 26, 4, 18 and 11? (a) 4 (b) 7 (c) 11 (d) 18
  10. 10.What is the mean of 16, 17, 11 and 20? (a) 15 (b) 17 (c) 16 (d) 18
  11. 11.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 30 (b) 35 (c) 29 (d) 27
  12. 12.What is the median of 27, 38, 30, 31 and 7? (a) 29 (b) 31 (c) 27 (d) 30
  13. 13.What is the mode of 10, 12, 10, 10, 12, 2 and 17? (a) 12 (b) 2 (c) 10 (d) 17
  14. 14.What is the median of 2, 23, 10, 37 and 6? (a) 11 (b) 23 (c) 10 (d) 6
  15. 15.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 38 (d) 40
  16. 16.What is the mode of 15, 16, 1, 9, 9, 15 and 15? (a) 16 (b) 15 (c) 9 (d) 1
  17. 17.What is the mode of 1, 6, 1, 10, 9, 6 and 6? (a) 10 (b) 9 (c) 6 (d) 1
  18. 18.What is the mode of 12, 12, 4, 4, 4, 2 and 14? (a) 14 (b) 4 (c) 12 (d) 2
  19. 19.What is the mean of 10, 12, 4, 3 and 11? (a) 10 (b) 7 (c) 9 (d) 8
  20. 20.What is the mode of 9, 9, 12, 10, 14, 14 and 9? (a) 10 (b) 9 (c) 14 (d) 12
  21. 21.What is the mean of 3, 9, 15, 17 and 16? (a) 12 (b) 10 (c) 15 (d) 13
  22. 22.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 29 (b) 30 (c) 27 (d) 28
  23. 23.What is the mode of 5, 5, 11, 11, 5, 17 and 8? (a) 11 (b) 17 (c) 5 (d) 8
  24. 24.What is the median of 1, 25, 15, 12, 36, 33 and 24? (a) 24 (b) 12 (c) 25 (d) 15
  25. 25.What is the median of 25, 21, 22, 2 and 33? (a) 21 (b) 25 (c) 22 (d) 23
  26. 26.What is the mean of 9, 9, 11, 7 and 19? (a) 13 (b) 11 (c) 10 (d) 12
  27. 27.The mean of 9 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 28 (b) 29 (c) 19 (d) 27
  28. 28.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 26 (b) 24 (c) 27 (d) 25
  29. 29.What is the mean of 3, 5, 8 and 4? (a) 6 (b) 7 (c) 4 (d) 5
  30. 30.The mean of 8 numbers is 36. When the number 9 is added to them, what is the new mean? (a) 34 (b) 36 (c) 32 (d) 33
  31. 31.What is the mode of 2, 14, 1, 14, 9, 14 and 9? (a) 2 (b) 9 (c) 1 (d) 14
  32. 32.What is the median of 19, 14, 8, 40, 1, 5 and 3? (a) 5 (b) 8 (c) 40 (d) 14
  33. 33.What is the median of 12, 21, 37, 28 and 22? (a) 37 (b) 24 (c) 28 (d) 22
  34. 34.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 23
  35. 35.The mean of 9 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 13 (b) 23 (c) 16 (d) 15
  36. 36.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 40 (b) 38 (c) 37 (d) 39
  37. 37.What is the mean of 13, 10, 11, 10 and 11? (a) 11 (b) 13 (c) 10 (d) 12
  38. 38.What is the median of 20, 15, 37, 3, 7, 11 and 25? (a) 11 (b) 15 (c) 3 (d) 20
  39. 39.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 24 (c) 27 (d) 21
  40. 40.What is the mean of 2, 6, 9, 20 and 8? (a) 11 (b) 9 (c) 8 (d) 10

Answer key

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

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