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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 678 · 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 9 numbers is 20. When the number 60 is added to them, what is the new mean? (a) 25 (b) 24 (c) 20 (d) 40
  2. 2.What is the mode of 10, 4, 9, 5, 9, 9 and 10? (a) 4 (b) 10 (c) 5 (d) 9
  3. 3.What is the median of 15, 32, 18, 2 and 5? (a) 15 (b) 18 (c) 16 (d) 5
  4. 4.What is the mean of 4, 5, 15 and 20? (a) 12 (b) 11 (c) 10 (d) 13
  5. 5.What is the mode of 8, 7, 4, 8, 7, 8 and 2? (a) 7 (b) 8 (c) 2 (d) 4
  6. 6.What is the mean of 8, 3, 16, 6, 3 and 6? (a) 8 (b) 9 (c) 7 (d) 6
  7. 7.What is the mode of 7, 19, 7, 16, 7, 17 and 16? (a) 17 (b) 19 (c) 16 (d) 7
  8. 8.What is the mode of 15, 3, 18, 3, 3, 11 and 18? (a) 18 (b) 3 (c) 11 (d) 15
  9. 9.What is the mean of 19, 6, 19 and 16? (a) 20 (b) 16 (c) 15 (d) 12
  10. 10.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 30 (b) 31 (c) 25 (d) 29
  11. 11.The mean of 9 numbers is 36. When the number 46 is added to them, what is the new mean? (a) 41 (b) 36 (c) 38 (d) 37
  12. 12.What is the mean of 9, 18, 6, 5 and 17? (a) 12 (b) 11 (c) 13 (d) 10
  13. 13.The mean of 5 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 15
  14. 14.What is the mean of 10, 6, 3, 13 and 23? (a) 10 (b) 12 (c) 11 (d) 13
  15. 15.What is the mean of 9, 11, 3, 5, 19 and 7? (a) 10 (b) 11 (c) 8 (d) 9
  16. 16.What is the mode of 7, 4, 20, 20, 20, 16 and 4? (a) 20 (b) 7 (c) 4 (d) 16
  17. 17.What is the mode of 11, 19, 1, 14, 11, 11 and 19? (a) 19 (b) 14 (c) 11 (d) 1
  18. 18.What is the median of 4, 5, 37, 17 and 2? (a) 17 (b) 13 (c) 5 (d) 37
  19. 19.The mean of 8 numbers is 12. When the number 48 is added to them, what is the new mean? (a) 30 (b) 16 (c) 17 (d) 12
  20. 20.What is the mean of 4, 2, 2, 2 and 10? (a) 6 (b) 3 (c) 4 (d) 5
  21. 21.What is the mean of 13, 18, 15, 4, 14 and 14? (a) 13 (b) 12 (c) 15 (d) 14
  22. 22.What is the mode of 2, 2, 5, 5, 2, 8 and 7? (a) 5 (b) 7 (c) 8 (d) 2
  23. 23.What is the mode of 3, 2, 2, 19, 19, 2 and 15? (a) 2 (b) 19 (c) 15 (d) 3
  24. 24.What is the mean of 9, 16, 4, 6 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  25. 25.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 30 (b) 32 (c) 28 (d) 29
  26. 26.What is the mean of 12, 14, 8, 11, 12 and 3? (a) 12 (b) 10 (c) 9 (d) 11
  27. 27.What is the mean of 4, 5, 14, 6 and 16? (a) 10 (b) 8 (c) 11 (d) 9
  28. 28.What is the mean of 7, 13, 6 and 6? (a) 8 (b) 10 (c) 7 (d) 9
  29. 29.What is the mean of 7, 18, 10 and 13? (a) 16 (b) 13 (c) 12 (d) 11
  30. 30.What is the mean of 10, 17, 13 and 12? (a) 14 (b) 13 (c) 12 (d) 15
  31. 31.The mean of 5 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 28
  32. 32.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 40 (b) 43 (c) 42 (d) 41
  33. 33.The mean of 6 numbers is 40. When the number 12 is added to them, what is the new mean? (a) 26 (b) 36 (c) 40 (d) 37
  34. 34.The mean of 5 numbers is 33. When the number 27 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 32
  35. 35.What is the median of 21, 23, 24, 2, 10, 32 and 11? (a) 23 (b) 21 (c) 2 (d) 11
  36. 36.What is the mean of 15, 18, 11 and 8? (a) 13 (b) 12 (c) 14 (d) 15
  37. 37.What is the mode of 11, 11, 4, 19, 19, 6 and 19? (a) 19 (b) 6 (c) 4 (d) 11
  38. 38.What is the median of 2, 18, 21, 24, 11, 3 and 22? (a) 24 (b) 11 (c) 21 (d) 18
  39. 39.What is the median of 32, 18, 19, 30 and 5? (a) 18 (b) 20 (c) 19 (d) 30
  40. 40.What is the mode of 16, 8, 16, 3, 3, 4 and 16? (a) 3 (b) 8 (c) 4 (d) 16

Answer key

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

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