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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 456 · 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 median of 19, 1, 7, 33 and 16? (a) 7 (b) 17 (c) 19 (d) 16
  2. 2.The mean of 6 numbers is 30. When the number 51 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 34
  3. 3.What is the mean of 18, 4, 12, 3, 8 and 9? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.What is the mode of 7, 7, 18, 5, 15, 7 and 18? (a) 7 (b) 15 (c) 5 (d) 18
  5. 5.The mean of 4 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 36 (b) 38 (c) 39 (d) 41
  6. 6.What is the mode of 7, 7, 17, 1, 1, 3 and 1? (a) 7 (b) 17 (c) 1 (d) 3
  7. 7.The mean of 7 numbers is 37. When the number 69 is added to them, what is the new mean? (a) 37 (b) 42 (c) 41 (d) 53
  8. 8.What is the median of 17, 3, 28, 35, 20, 2 and 37? (a) 28 (b) 35 (c) 17 (d) 20
  9. 9.The mean of 5 numbers is 40. When the number 34 is added to them, what is the new mean? (a) 39 (b) 37 (c) 38 (d) 40
  10. 10.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 23
  11. 11.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 26 (b) 18 (c) 14 (d) 17
  12. 12.What is the mean of 10, 3, 10, 9, 17 and 23? (a) 14 (b) 13 (c) 11 (d) 12
  13. 13.What is the median of 22, 24, 26, 13, 1, 10 and 11? (a) 22 (b) 14 (c) 11 (d) 13
  14. 14.What is the mode of 4, 9, 13, 15, 9, 9 and 13? (a) 9 (b) 13 (c) 4 (d) 15
  15. 15.What is the mode of 2, 16, 5, 11, 2, 2 and 16? (a) 2 (b) 11 (c) 5 (d) 16
  16. 16.The mean of 3 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 27 (b) 24 (c) 28 (d) 26
  17. 17.The mean of 3 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 15
  18. 18.What is the mode of 17, 13, 16, 3, 13, 17 and 13? (a) 13 (b) 17 (c) 3 (d) 16
  19. 19.What is the mean of 4, 19, 6, 9 and 7? (a) 10 (b) 9 (c) 11 (d) 8
  20. 20.What is the mode of 11, 18, 4, 11, 10, 10 and 11? (a) 10 (b) 11 (c) 18 (d) 4
  21. 21.What is the mode of 11, 11, 9, 15, 12, 9 and 9? (a) 12 (b) 15 (c) 9 (d) 11
  22. 22.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 37 (b) 38 (c) 39 (d) 40
  23. 23.The mean of 4 numbers is 27. When the number 22 is added to them, what is the new mean? (a) 25 (b) 27 (c) 28 (d) 26
  24. 24.The mean of 5 numbers is 32. When the number 26 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 31
  25. 25.What is the mean of 5, 17, 18, 7 and 3? (a) 10 (b) 12 (c) 11 (d) 9
  26. 26.What is the mean of 3, 14, 16 and 15? (a) 11 (b) 13 (c) 12 (d) 16
  27. 27.What is the median of 16, 36, 1, 3 and 15? (a) 3 (b) 15 (c) 1 (d) 16
  28. 28.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 10
  29. 29.What is the mode of 5, 14, 14, 17, 8, 17 and 17? (a) 5 (b) 8 (c) 17 (d) 14
  30. 30.What is the mean of 6, 2, 4 and 20? (a) 9 (b) 7 (c) 10 (d) 8
  31. 31.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 29 (c) 31 (d) 28
  32. 32.What is the median of 24, 18, 37, 28, 8, 36 and 3? (a) 22 (b) 28 (c) 24 (d) 18
  33. 33.What is the mode of 4, 1, 12, 13, 1, 13 and 1? (a) 13 (b) 12 (c) 4 (d) 1
  34. 34.What is the median of 33, 39, 3, 1, 12, 40 and 20? (a) 1 (b) 12 (c) 33 (d) 20
  35. 35.The mean of 4 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 12 (b) 19 (c) 22 (d) 18
  36. 36.What is the mode of 1, 9, 1, 1, 3, 3 and 5? (a) 1 (b) 5 (c) 9 (d) 3
  37. 37.What is the mean of 17, 4, 6, 9 and 19? (a) 12 (b) 11 (c) 10 (d) 13
  38. 38.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 21 (b) 26 (c) 20 (d) 18
  39. 39.What is the mode of 19, 18, 2, 19, 2, 9 and 19? (a) 9 (b) 19 (c) 18 (d) 2
  40. 40.What is the median of 27, 20, 36, 34, 6, 2 and 8? (a) 34 (b) 19 (c) 20 (d) 27

Answer key

  1. 16
  2. 33
  3. 9
  4. 7
  5. 38
  6. 1
  7. 41
  8. 20
  9. 39
  10. 33
  11. 17
  12. 12
  13. 13
  14. 9
  15. 2
  16. 26
  17. 13
  18. 13
  19. 9
  20. 11
  21. 9
  22. 38
  23. 26
  24. 31
  25. 10
  26. 12
  27. 15
  28. 10
  29. 17
  30. 8
  31. 28
  32. 24
  33. 1
  34. 20
  35. 18
  36. 1
  37. 11
  38. 20
  39. 19
  40. 20

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