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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 519 · 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 4, 4, 17, 7 and 18? (a) 9 (b) 11 (c) 10 (d) 12
  2. 2.What is the mean of 14, 16, 13, 3 and 24? (a) 14 (b) 15 (c) 13 (d) 16
  3. 3.What is the mode of 2, 7, 4, 4, 7, 7 and 12? (a) 12 (b) 7 (c) 4 (d) 2
  4. 4.What is the mode of 3, 16, 2, 16, 3, 17 and 3? (a) 16 (b) 2 (c) 17 (d) 3
  5. 5.What is the median of 17, 2, 32, 8, 24, 3 and 16? (a) 15 (b) 17 (c) 16 (d) 8
  6. 6.What is the median of 16, 6, 7, 5 and 2? (a) 8 (b) 7 (c) 5 (d) 6
  7. 7.What is the median of 29, 36, 7, 27 and 34? (a) 29 (b) 27 (c) 7 (d) 34
  8. 8.The mean of 4 numbers is 19. When the number 34 is added to them, what is the new mean? (a) 22 (b) 21 (c) 23 (d) 19
  9. 9.What is the mean of 17, 11, 9, 7 and 6? (a) 11 (b) 9 (c) 10 (d) 12
  10. 10.What is the median of 35, 9, 1, 20 and 5? (a) 1 (b) 20 (c) 9 (d) 14
  11. 11.What is the median of 38, 13, 25, 18, 1, 34 and 32? (a) 18 (b) 23 (c) 25 (d) 32
  12. 12.What is the median of 14, 29, 12, 15 and 1? (a) 15 (b) 12 (c) 14 (d) 13
  13. 13.What is the mean of 7, 4, 8 and 13? (a) 9 (b) 10 (c) 8 (d) 7
  14. 14.The mean of 7 numbers is 36. When the number 4 is added to them, what is the new mean? (a) 20 (b) 33 (c) 36 (d) 32
  15. 15.The mean of 6 numbers is 30. When the number 58 is added to them, what is the new mean? (a) 35 (b) 44 (c) 30 (d) 34
  16. 16.What is the mean of 16, 8, 18 and 14? (a) 14 (b) 13 (c) 16 (d) 15
  17. 17.What is the mode of 16, 14, 11, 14, 14, 11 and 20? (a) 11 (b) 14 (c) 16 (d) 20
  18. 18.What is the median of 12, 18, 10, 20, 30, 31 and 32? (a) 21 (b) 30 (c) 18 (d) 20
  19. 19.What is the mode of 5, 5, 14, 18, 8, 8 and 5? (a) 8 (b) 18 (c) 14 (d) 5
  20. 20.What is the mode of 13, 13, 3, 13, 17, 3 and 12? (a) 3 (b) 12 (c) 13 (d) 17
  21. 21.What is the mean of 4, 7, 5 and 8? (a) 8 (b) 7 (c) 6 (d) 5
  22. 22.What is the mode of 5, 5, 5, 3, 14, 8 and 14? (a) 8 (b) 5 (c) 14 (d) 3
  23. 23.What is the mean of 16, 11, 14 and 11? (a) 15 (b) 12 (c) 14 (d) 13
  24. 24.What is the mode of 2, 1, 15, 17, 15, 15 and 2? (a) 2 (b) 1 (c) 17 (d) 15
  25. 25.What is the mean of 17, 5, 6, 4 and 18? (a) 11 (b) 9 (c) 12 (d) 10
  26. 26.What is the mean of 17, 9, 13, 12 and 24? (a) 14 (b) 17 (c) 15 (d) 16
  27. 27.What is the median of 19, 39, 7, 31 and 4? (a) 7 (b) 20 (c) 19 (d) 31
  28. 28.What is the mode of 7, 5, 5, 18, 5, 18 and 11? (a) 7 (b) 5 (c) 11 (d) 18
  29. 29.What is the mean of 17, 10, 2 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  30. 30.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 24 (b) 29 (c) 21 (d) 23
  31. 31.What is the mean of 18, 10, 12, 16 and 19? (a) 16 (b) 17 (c) 14 (d) 15
  32. 32.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
  33. 33.The mean of 4 numbers is 30. When the number 45 is added to them, what is the new mean? (a) 34 (b) 33 (c) 30 (d) 32
  34. 34.The mean of 3 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 39 (b) 41 (c) 35 (d) 38
  35. 35.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 16 (b) 15 (c) 14 (d) 17
  36. 36.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 23 (b) 22 (c) 18 (d) 21
  37. 37.What is the mode of 9, 16, 16, 7, 7, 4 and 7? (a) 9 (b) 7 (c) 4 (d) 16
  38. 38.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 19
  39. 39.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 33 (b) 27 (c) 37 (d) 34
  40. 40.What is the median of 29, 25, 31, 2 and 14? (a) 29 (b) 14 (c) 25 (d) 31

Answer key

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

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