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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 431 · 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 8, 16, 19, 9, 4 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  2. 2.The mean of 5 numbers is 26. When the number 20 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 23
  3. 3.What is the mean of 8, 17, 15, 12 and 13? (a) 12 (b) 13 (c) 15 (d) 14
  4. 4.What is the mode of 16, 13, 13, 18, 1, 13 and 1? (a) 1 (b) 18 (c) 13 (d) 16
  5. 5.What is the mode of 2, 5, 17, 5, 5, 20 and 17? (a) 20 (b) 5 (c) 2 (d) 17
  6. 6.What is the median of 23, 28, 3, 18 and 37? (a) 18 (b) 23 (c) 3 (d) 28
  7. 7.What is the mean of 4, 10, 11 and 19? (a) 13 (b) 10 (c) 12 (d) 11
  8. 8.The mean of 5 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 28 (b) 27 (c) 19 (d) 31
  9. 9.What is the median of 34, 14, 12, 35 and 25? (a) 34 (b) 12 (c) 24 (d) 25
  10. 10.What is the mean of 7, 19, 19 and 19? (a) 15 (b) 18 (c) 17 (d) 16
  11. 11.What is the mean of 19, 2, 13 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  12. 12.What is the mean of 5, 13, 19, 8 and 15? (a) 10 (b) 13 (c) 12 (d) 15
  13. 13.What is the median of 10, 30, 24, 3, 16, 29 and 12? (a) 3 (b) 24 (c) 12 (d) 16
  14. 14.What is the median of 2, 12, 17, 35, 36, 37 and 18? (a) 18 (b) 19 (c) 35 (d) 17
  15. 15.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 18 (b) 21 (c) 19 (d) 20
  16. 16.What is the mean of 5, 19, 6, 7 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  17. 17.What is the mean of 10, 6, 3, 9, 3 and 5? (a) 8 (b) 7 (c) 6 (d) 5
  18. 18.What is the mode of 14, 4, 1, 4, 14, 4 and 18? (a) 1 (b) 14 (c) 4 (d) 18
  19. 19.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 25 (b) 23 (c) 26 (d) 24
  20. 20.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 21
  21. 21.What is the mean of 3, 6, 3, 2, 11 and 11? (a) 6 (b) 7 (c) 5 (d) 8
  22. 22.What is the mean of 14, 14, 7, 12 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  23. 23.What is the median of 26, 32, 2, 1 and 16? (a) 17 (b) 2 (c) 16 (d) 26
  24. 24.What is the median of 13, 9, 16, 12, 28, 3 and 25? (a) 12 (b) 13 (c) 16 (d) 14
  25. 25.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 20
  26. 26.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 11 (c) 12 (d) 10
  27. 27.What is the median of 24, 31, 18, 34 and 9? (a) 31 (b) 18 (c) 24 (d) 25
  28. 28.What is the mode of 4, 2, 8, 2, 13, 4 and 4? (a) 8 (b) 13 (c) 4 (d) 2
  29. 29.What is the mode of 5, 10, 5, 9, 5, 14 and 14? (a) 9 (b) 5 (c) 14 (d) 10
  30. 30.What is the mode of 2, 5, 2, 14, 14, 1 and 2? (a) 1 (b) 2 (c) 14 (d) 5
  31. 31.What is the median of 35, 8, 31, 15, 12, 2 and 20? (a) 15 (b) 16 (c) 20 (d) 12
  32. 32.What is the mean of 2, 10, 17, 18 and 3? (a) 11 (b) 10 (c) 9 (d) 12
  33. 33.What is the median of 30, 7, 5, 31 and 24? (a) 7 (b) 30 (c) 24 (d) 5
  34. 34.The mean of 5 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 40 (b) 35 (c) 31 (d) 34
  35. 35.What is the median of 17, 20, 27, 21 and 39? (a) 22 (b) 20 (c) 21 (d) 27
  36. 36.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) 28 (d) 24
  37. 37.What is the mean of 6, 12, 2 and 8? (a) 9 (b) 7 (c) 6 (d) 8
  38. 38.The mean of 8 numbers is 23. When the number 41 is added to them, what is the new mean? (a) 32 (b) 25 (c) 26 (d) 23
  39. 39.What is the median of 16, 40, 13, 17, 31, 38 and 24? (a) 31 (b) 25 (c) 24 (d) 17
  40. 40.The mean of 5 numbers is 38. When the number 44 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39

Answer key

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

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