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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 889 · 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 5, 6, 38, 24, 15, 20 and 34? (a) 21 (b) 15 (c) 24 (d) 20
  2. 2.What is the mean of 11, 11, 12, 11 and 15? (a) 13 (b) 10 (c) 15 (d) 12
  3. 3.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 35
  4. 4.The mean of 8 numbers is 37. When the number 46 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 37
  5. 5.What is the mode of 17, 3, 19, 11, 19, 3 and 3? (a) 19 (b) 17 (c) 11 (d) 3
  6. 6.What is the mode of 7, 6, 15, 12, 15, 15 and 6? (a) 7 (b) 6 (c) 15 (d) 12
  7. 7.What is the mode of 3, 20, 10, 10, 10, 6 and 6? (a) 20 (b) 3 (c) 10 (d) 6
  8. 8.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 21 (b) 26 (c) 31 (d) 25
  9. 9.What is the mean of 19, 5, 19, 6, 20 and 3? (a) 14 (b) 12 (c) 11 (d) 13
  10. 10.What is the mean of 18, 2, 16, 7, 10 and 13? (a) 11 (b) 12 (c) 13 (d) 10
  11. 11.What is the mean of 13, 9, 5 and 13? (a) 8 (b) 11 (c) 9 (d) 10
  12. 12.What is the median of 25, 8, 12, 11, 2, 9 and 16? (a) 11 (b) 10 (c) 9 (d) 12
  13. 13.What is the mode of 1, 1, 3, 12, 3, 3 and 4? (a) 4 (b) 1 (c) 12 (d) 3
  14. 14.What is the mode of 6, 17, 17, 1, 6, 8 and 6? (a) 8 (b) 1 (c) 17 (d) 6
  15. 15.What is the mean of 2, 2, 4, 20, 9 and 5? (a) 6 (b) 8 (c) 7 (d) 9
  16. 16.What is the median of 20, 7, 3, 40, 33, 4 and 37? (a) 7 (b) 40 (c) 33 (d) 20
  17. 17.What is the mean of 3, 9, 7 and 21? (a) 8 (b) 10 (c) 11 (d) 9
  18. 18.What is the median of 20, 12, 31, 28, 1, 35 and 10? (a) 21 (b) 12 (c) 28 (d) 20
  19. 19.The mean of 5 numbers is 18. When the number 12 is added to them, what is the new mean? (a) 16 (b) 15 (c) 18 (d) 17
  20. 20.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 29
  21. 21.What is the mode of 3, 2, 2, 8, 6, 3 and 3? (a) 6 (b) 3 (c) 8 (d) 2
  22. 22.What is the median of 29, 32, 31, 11, 17, 5 and 30? (a) 30 (b) 11 (c) 17 (d) 29
  23. 23.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 26 (b) 25 (c) 22 (d) 24
  24. 24.The mean of 9 numbers is 30. When the number 20 is added to them, what is the new mean? (a) 30 (b) 28 (c) 25 (d) 29
  25. 25.The mean of 6 numbers is 37. When the number 44 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 38
  26. 26.What is the mode of 20, 20, 16, 16, 4, 6 and 20? (a) 16 (b) 20 (c) 6 (d) 4
  27. 27.What is the mean of 9, 6, 17 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  28. 28.What is the mean of 10, 16, 12, 6 and 21? (a) 13 (b) 15 (c) 12 (d) 14
  29. 29.The mean of 3 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 12
  30. 30.What is the mean of 3, 19, 10 and 8? (a) 9 (b) 8 (c) 11 (d) 10
  31. 31.What is the mode of 5, 5, 12, 12, 3, 6 and 5? (a) 12 (b) 5 (c) 3 (d) 6
  32. 32.What is the mode of 20, 4, 17, 20, 7, 4 and 4? (a) 17 (b) 20 (c) 7 (d) 4
  33. 33.What is the median of 39, 26, 36, 21 and 19? (a) 26 (b) 27 (c) 36 (d) 21
  34. 34.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 27 (b) 22 (c) 23 (d) 24
  35. 35.What is the mode of 18, 4, 11, 9, 9, 9 and 11? (a) 18 (b) 9 (c) 11 (d) 4
  36. 36.What is the mean of 4, 15, 15 and 14? (a) 12 (b) 11 (c) 16 (d) 13
  37. 37.What is the mode of 20, 20, 6, 6, 15, 3 and 6? (a) 15 (b) 3 (c) 6 (d) 20
  38. 38.What is the mode of 6, 1, 8, 20, 8, 6 and 8? (a) 20 (b) 8 (c) 6 (d) 1
  39. 39.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 15
  40. 40.What is the mean of 16, 10, 19 and 19? (a) 18 (b) 17 (c) 16 (d) 15

Answer key

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

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