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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 803 · 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 mode of 3, 19, 9, 11, 3, 9 and 9? (a) 11 (b) 19 (c) 9 (d) 3
  2. 2.What is the mean of 19, 12, 7, 12 and 20? (a) 15 (b) 14 (c) 16 (d) 13
  3. 3.The mean of 9 numbers is 37. When the number 67 is added to them, what is the new mean? (a) 37 (b) 40 (c) 41 (d) 52
  4. 4.What is the mean of 13, 5, 9 and 9? (a) 12 (b) 8 (c) 10 (d) 9
  5. 5.What is the mean of 14, 20, 8 and 10? (a) 12 (b) 13 (c) 15 (d) 14
  6. 6.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 20 (b) 24 (c) 21 (d) 14
  7. 7.What is the mode of 9, 20, 19, 20, 4, 9 and 9? (a) 20 (b) 9 (c) 19 (d) 4
  8. 8.The mean of 6 numbers is 24. When the number 45 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 24
  9. 9.What is the mode of 14, 14, 5, 10, 10, 17 and 14? (a) 14 (b) 17 (c) 10 (d) 5
  10. 10.What is the mean of 6, 3, 11 and 12? (a) 8 (b) 10 (c) 9 (d) 7
  11. 11.What is the median of 7, 15, 4, 2 and 13? (a) 4 (b) 13 (c) 7 (d) 8
  12. 12.What is the mean of 17, 7, 16, 15 and 5? (a) 10 (b) 13 (c) 15 (d) 12
  13. 13.What is the median of 32, 24, 20, 33 and 31? (a) 20 (b) 28 (c) 32 (d) 31
  14. 14.What is the mean of 15, 3, 13, 6 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  15. 15.The mean of 5 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 16
  16. 16.What is the mean of 7, 14, 19, 9 and 16? (a) 14 (b) 12 (c) 13 (d) 15
  17. 17.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 30 (b) 22 (c) 29 (d) 31
  18. 18.The mean of 8 numbers is 24. When the number 33 is added to them, what is the new mean? (a) 27 (b) 26 (c) 25 (d) 24
  19. 19.What is the mean of 5, 4, 17 and 14? (a) 10 (b) 8 (c) 9 (d) 11
  20. 20.What is the median of 30, 17, 40, 12, 33, 20 and 26? (a) 12 (b) 30 (c) 26 (d) 20
  21. 21.What is the median of 28, 27, 18, 7 and 6? (a) 18 (b) 7 (c) 19 (d) 27
  22. 22.What is the mode of 16, 5, 5, 16, 6, 5 and 2? (a) 2 (b) 5 (c) 6 (d) 16
  23. 23.What is the mode of 9, 10, 2, 10, 6, 10 and 6? (a) 10 (b) 6 (c) 2 (d) 9
  24. 24.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 39 (b) 43 (c) 42 (d) 41
  25. 25.What is the median of 28, 10, 18, 40, 9, 15 and 11? (a) 15 (b) 40 (c) 18 (d) 11
  26. 26.What is the mean of 13, 14, 12, 9, 8 and 22? (a) 12 (b) 13 (c) 15 (d) 14
  27. 27.What is the mode of 4, 7, 17, 11, 7, 4 and 4? (a) 7 (b) 17 (c) 11 (d) 4
  28. 28.What is the mean of 2, 6, 6, 12, 14 and 20? (a) 11 (b) 10 (c) 12 (d) 9
  29. 29.What is the median of 31, 6, 25, 34, 7, 22 and 32? (a) 31 (b) 22 (c) 34 (d) 25
  30. 30.What is the mode of 12, 7, 7, 8, 18, 18 and 18? (a) 8 (b) 7 (c) 18 (d) 12
  31. 31.What is the median of 21, 22, 37, 6, 29, 7 and 39? (a) 23 (b) 29 (c) 6 (d) 22
  32. 32.What is the median of 14, 39, 1, 37 and 29? (a) 24 (b) 29 (c) 37 (d) 1
  33. 33.What is the median of 9, 27, 11, 2, 30, 14 and 24? (a) 24 (b) 14 (c) 2 (d) 11
  34. 34.What is the mean of 6, 13, 18, 6, 9 and 20? (a) 13 (b) 11 (c) 12 (d) 14
  35. 35.What is the mean of 7, 16, 5, 16, 11 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  36. 36.What is the mean of 6, 5, 6, 13, 14 and 22? (a) 13 (b) 12 (c) 11 (d) 10
  37. 37.The mean of 6 numbers is 34. When the number 20 is added to them, what is the new mean? (a) 27 (b) 33 (c) 32 (d) 34
  38. 38.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 32
  39. 39.What is the mode of 4, 2, 19, 14, 4, 19 and 19? (a) 14 (b) 4 (c) 2 (d) 19
  40. 40.What is the mode of 16, 14, 14, 16, 16, 12 and 1? (a) 16 (b) 12 (c) 1 (d) 14

Answer key

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

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