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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 349 · 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 30. When the number 39 is added to them, what is the new mean? (a) 30 (b) 31 (c) 32 (d) 33
  2. 2.The mean of 5 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 14 (b) 20 (c) 11 (d) 15
  3. 3.What is the mean of 14, 10, 9 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  4. 4.The mean of 8 numbers is 12. When the number 21 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
  5. 5.What is the mean of 18, 18, 7 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  6. 6.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  7. 7.What is the mode of 5, 6, 11, 6, 1, 6 and 11? (a) 6 (b) 5 (c) 1 (d) 11
  8. 8.What is the median of 20, 11, 22, 33, 18, 6 and 36? (a) 20 (b) 22 (c) 33 (d) 18
  9. 9.What is the mean of 19, 16, 16 and 17? (a) 18 (b) 19 (c) 17 (d) 16
  10. 10.What is the mode of 15, 14, 17, 1, 17, 1 and 17? (a) 14 (b) 15 (c) 17 (d) 1
  11. 11.What is the mode of 6, 2, 20, 7, 20, 20 and 7? (a) 7 (b) 6 (c) 2 (d) 20
  12. 12.What is the mode of 5, 17, 17, 14, 20, 20 and 20? (a) 17 (b) 5 (c) 14 (d) 20
  13. 13.What is the mean of 3, 18, 20, 11 and 13? (a) 14 (b) 15 (c) 13 (d) 12
  14. 14.What is the mode of 18, 18, 13, 12, 6, 18 and 6? (a) 18 (b) 13 (c) 12 (d) 6
  15. 15.What is the median of 4, 6, 7, 33, 15, 23 and 25? (a) 23 (b) 7 (c) 33 (d) 15
  16. 16.What is the mode of 2, 2, 12, 6, 10, 2 and 12? (a) 6 (b) 10 (c) 12 (d) 2
  17. 17.What is the mode of 2, 1, 4, 13, 2, 2 and 1? (a) 4 (b) 13 (c) 2 (d) 1
  18. 18.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 26 (b) 31 (c) 46 (d) 30
  19. 19.What is the mode of 1, 4, 4, 4, 2, 3 and 3? (a) 1 (b) 4 (c) 3 (d) 2
  20. 20.The mean of 3 numbers is 31. When the number 35 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  21. 21.The mean of 3 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 36 (b) 33 (c) 34 (d) 30
  22. 22.What is the median of 22, 5, 25, 8 and 29? (a) 8 (b) 23 (c) 25 (d) 22
  23. 23.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 22 (b) 18 (c) 16 (d) 19
  24. 24.What is the mean of 11, 5, 13 and 19? (a) 16 (b) 13 (c) 11 (d) 12
  25. 25.The mean of 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 38 (b) 41 (c) 39 (d) 40
  26. 26.What is the median of 9, 32, 12, 15, 1, 29 and 34? (a) 12 (b) 15 (c) 29 (d) 16
  27. 27.What is the mode of 20, 15, 15, 6, 6, 6 and 4? (a) 6 (b) 20 (c) 15 (d) 4
  28. 28.What is the mean of 6, 5, 13 and 12? (a) 12 (b) 8 (c) 10 (d) 9
  29. 29.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 37 (b) 39 (c) 41 (d) 40
  30. 30.What is the mode of 18, 18, 13, 11, 4, 18 and 11? (a) 18 (b) 13 (c) 11 (d) 4
  31. 31.What is the mode of 16, 12, 1, 12, 1, 19 and 12? (a) 19 (b) 12 (c) 1 (d) 16
  32. 32.What is the mode of 15, 15, 9, 9, 6, 5 and 9? (a) 6 (b) 15 (c) 9 (d) 5
  33. 33.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 13 (b) 18 (c) 29 (d) 17
  34. 34.What is the mode of 8, 5, 5, 2, 2, 20 and 5? (a) 8 (b) 2 (c) 20 (d) 5
  35. 35.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 34 (b) 31 (c) 33 (d) 32
  36. 36.What is the median of 34, 12, 6, 33 and 18? (a) 6 (b) 33 (c) 18 (d) 12
  37. 37.What is the mode of 9, 3, 3, 10, 6, 3 and 6? (a) 9 (b) 3 (c) 6 (d) 10
  38. 38.The mean of 4 numbers is 31. When the number 16 is added to them, what is the new mean? (a) 27 (b) 31 (c) 29 (d) 28
  39. 39.What is the median of 26, 20, 23, 4 and 33? (a) 20 (b) 24 (c) 23 (d) 26
  40. 40.What is the median of 6, 22, 37, 36, 15, 4 and 14? (a) 14 (b) 22 (c) 15 (d) 36

Answer key

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

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