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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 799 · 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 20, 16, 13, 3, 3, 16 and 16? (a) 20 (b) 13 (c) 3 (d) 16
  2. 2.What is the mode of 1, 12, 1, 12, 6, 1 and 4? (a) 6 (b) 4 (c) 1 (d) 12
  3. 3.What is the mean of 19, 5, 14 and 6? (a) 11 (b) 12 (c) 10 (d) 13
  4. 4.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 30 (b) 26 (c) 29 (d) 32
  5. 5.What is the median of 25, 23, 36, 13 and 3? (a) 36 (b) 25 (c) 20 (d) 23
  6. 6.What is the median of 38, 31, 2, 9 and 24? (a) 2 (b) 24 (c) 9 (d) 31
  7. 7.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 11 (b) 13 (c) 14 (d) 15
  8. 8.What is the mean of 4, 12, 4, 5, 11 and 12? (a) 9 (b) 10 (c) 8 (d) 7
  9. 9.What is the mean of 9, 13, 6 and 4? (a) 10 (b) 9 (c) 7 (d) 8
  10. 10.What is the mean of 11, 5, 5, 15 and 14? (a) 11 (b) 9 (c) 12 (d) 10
  11. 11.What is the mean of 18, 5, 17 and 12? (a) 12 (b) 15 (c) 14 (d) 13
  12. 12.What is the mean of 11, 6, 10, 3, 19 and 11? (a) 10 (b) 11 (c) 12 (d) 9
  13. 13.What is the mean of 11, 5, 20, 20, 16 and 6? (a) 12 (b) 15 (c) 14 (d) 13
  14. 14.What is the mean of 4, 18, 15, 4 and 4? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 21 (b) 24 (c) 23 (d) 22
  16. 16.What is the median of 29, 36, 21, 5 and 3? (a) 22 (b) 29 (c) 5 (d) 21
  17. 17.What is the mode of 17, 6, 3, 7, 3, 3 and 6? (a) 6 (b) 17 (c) 7 (d) 3
  18. 18.What is the median of 4, 15, 12, 32, 34, 28 and 19? (a) 28 (b) 19 (c) 15 (d) 32
  19. 19.What is the mode of 19, 19, 2, 1, 6, 1 and 1? (a) 1 (b) 6 (c) 2 (d) 19
  20. 20.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 24 (b) 29 (c) 23 (d) 20
  21. 21.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 29 (c) 20 (d) 17
  22. 22.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  23. 23.What is the median of 37, 8, 3, 23 and 6? (a) 23 (b) 3 (c) 8 (d) 6
  24. 24.What is the mean of 5, 7, 13, 16, 14 and 5? (a) 9 (b) 10 (c) 11 (d) 12
  25. 25.What is the mean of 17, 7, 12 and 4? (a) 10 (b) 8 (c) 11 (d) 9
  26. 26.What is the median of 20, 3, 9, 37 and 12? (a) 13 (b) 20 (c) 12 (d) 9
  27. 27.What is the mode of 2, 11, 11, 2, 2, 15 and 1? (a) 11 (b) 1 (c) 15 (d) 2
  28. 28.What is the mode of 10, 11, 1, 6, 1, 11 and 11? (a) 11 (b) 6 (c) 10 (d) 1
  29. 29.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 39 (b) 40 (c) 47 (d) 37
  30. 30.The mean of 6 numbers is 10. When the number 31 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 14
  31. 31.What is the mean of 18, 4, 14 and 4? (a) 9 (b) 10 (c) 8 (d) 11
  32. 32.What is the mean of 14, 14, 13 and 15? (a) 13 (b) 14 (c) 16 (d) 15
  33. 33.What is the mean of 19, 2, 6, 3, 13 and 5? (a) 8 (b) 10 (c) 9 (d) 7
  34. 34.What is the median of 33, 18, 29, 24, 6, 19 and 16? (a) 19 (b) 20 (c) 18 (d) 24
  35. 35.What is the mean of 9, 18, 10 and 15? (a) 15 (b) 14 (c) 12 (d) 13
  36. 36.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 32 (b) 30 (c) 31 (d) 29
  37. 37.What is the mode of 11, 1, 13, 1, 13, 8 and 1? (a) 11 (b) 1 (c) 8 (d) 13
  38. 38.What is the mean of 6, 10, 17, 16 and 21? (a) 16 (b) 13 (c) 15 (d) 14
  39. 39.What is the median of 16, 5, 9, 10, 26, 30 and 32? (a) 17 (b) 10 (c) 16 (d) 26
  40. 40.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 38

Answer key

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

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