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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 608 · 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.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  2. 2.What is the mode of 18, 7, 7, 18, 7, 3 and 11? (a) 18 (b) 3 (c) 7 (d) 11
  3. 3.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 26 (b) 29 (c) 25 (d) 27
  4. 4.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 36
  5. 5.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 25 (b) 16 (c) 18 (d) 19
  6. 6.What is the mean of 16, 5, 19, 13 and 7? (a) 10 (b) 12 (c) 13 (d) 15
  7. 7.What is the mode of 12, 20, 8, 14, 14, 14 and 8? (a) 8 (b) 12 (c) 14 (d) 20
  8. 8.The mean of 5 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 22 (b) 25 (c) 21 (d) 19
  9. 9.The mean of 5 numbers is 39. When the number 45 is added to them, what is the new mean? (a) 40 (b) 39 (c) 41 (d) 42
  10. 10.What is the mean of 15, 10, 18 and 17? (a) 20 (b) 15 (c) 16 (d) 12
  11. 11.The mean of 7 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 41 (b) 39 (c) 38 (d) 37
  12. 12.What is the mean of 10, 5, 18 and 3? (a) 10 (b) 12 (c) 9 (d) 8
  13. 13.What is the mode of 18, 7, 7, 7, 8, 18 and 20? (a) 8 (b) 18 (c) 7 (d) 20
  14. 14.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 39 (b) 42 (c) 40 (d) 37
  15. 15.The mean of 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 31 (b) 35 (c) 43 (d) 36
  16. 16.What is the mode of 6, 10, 6, 3, 4, 6 and 4? (a) 3 (b) 4 (c) 6 (d) 10
  17. 17.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 16 (b) 19 (c) 20 (d) 18
  18. 18.What is the median of 12, 15, 20, 13 and 39? (a) 13 (b) 15 (c) 20 (d) 16
  19. 19.What is the mode of 5, 5, 6, 14, 14, 2 and 5? (a) 2 (b) 5 (c) 6 (d) 14
  20. 20.What is the mode of 10, 2, 9, 4, 10, 9 and 9? (a) 4 (b) 10 (c) 2 (d) 9
  21. 21.The mean of 7 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 41 (b) 37 (c) 40 (d) 49
  22. 22.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 20
  23. 23.The mean of 8 numbers is 20. When the number 11 is added to them, what is the new mean? (a) 21 (b) 20 (c) 18 (d) 19
  24. 24.What is the mean of 3, 2, 6 and 9? (a) 6 (b) 4 (c) 5 (d) 7
  25. 25.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 25 (b) 20 (c) 24 (d) 28
  26. 26.What is the mean of 9, 17, 7, 15 and 12? (a) 13 (b) 10 (c) 15 (d) 12
  27. 27.The mean of 6 numbers is 38. When the number 31 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 37
  28. 28.What is the median of 12, 38, 39, 10, 24, 8 and 3? (a) 10 (b) 24 (c) 13 (d) 12
  29. 29.What is the mean of 6, 14, 14, 10 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  30. 30.What is the mode of 4, 19, 1, 4, 4, 2 and 1? (a) 19 (b) 1 (c) 4 (d) 2
  31. 31.What is the mode of 7, 13, 7, 13, 18, 19 and 7? (a) 13 (b) 19 (c) 18 (d) 7
  32. 32.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 22 (c) 19 (d) 20
  33. 33.What is the mean of 17, 7, 8, 3 and 5? (a) 7 (b) 9 (c) 8 (d) 10
  34. 34.What is the mean of 18, 20, 11, 5, 7 and 11? (a) 14 (b) 12 (c) 13 (d) 11
  35. 35.What is the median of 37, 7, 28, 10 and 30? (a) 29 (b) 28 (c) 10 (d) 30
  36. 36.The mean of 3 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 33 (b) 27 (c) 30 (d) 31
  37. 37.The mean of 6 numbers is 38. When the number 45 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 39
  38. 38.What is the mean of 4, 10, 5 and 13? (a) 9 (b) 10 (c) 8 (d) 7
  39. 39.What is the median of 7, 12, 34, 23 and 37? (a) 12 (b) 24 (c) 23 (d) 34
  40. 40.What is the mode of 9, 20, 3, 3, 13, 3 and 20? (a) 13 (b) 20 (c) 3 (d) 9

Answer key

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

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