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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 201 · 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 mean of 6, 8, 11 and 3? (a) 9 (b) 6 (c) 7 (d) 8
  2. 2.What is the median of 7, 5, 39, 31, 6, 16 and 11? (a) 7 (b) 31 (c) 16 (d) 11
  3. 3.The mean of 6 numbers is 36. When the number 22 is added to them, what is the new mean? (a) 29 (b) 35 (c) 34 (d) 36
  4. 4.What is the mode of 13, 15, 15, 1, 3, 1 and 1? (a) 15 (b) 3 (c) 13 (d) 1
  5. 5.What is the mean of 12, 6, 10 and 8? (a) 8 (b) 9 (c) 10 (d) 12
  6. 6.The mean of 6 numbers is 27. When the number 13 is added to them, what is the new mean? (a) 20 (b) 26 (c) 27 (d) 25
  7. 7.What is the mean of 15, 7, 8, 17, 18 and 7? (a) 13 (b) 11 (c) 12 (d) 14
  8. 8.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 17
  9. 9.What is the mean of 2, 12, 17, 15 and 4? (a) 9 (b) 10 (c) 12 (d) 11
  10. 10.What is the median of 32, 12, 37, 17 and 13? (a) 37 (b) 13 (c) 17 (d) 32
  11. 11.What is the mean of 17, 10, 13, 12 and 23? (a) 17 (b) 15 (c) 16 (d) 14
  12. 12.What is the median of 30, 40, 7, 27 and 1? (a) 21 (b) 27 (c) 7 (d) 30
  13. 13.What is the mean of 20, 12, 20, 12 and 16? (a) 16 (b) 17 (c) 20 (d) 15
  14. 14.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 41 (b) 39 (c) 37 (d) 40
  15. 15.What is the mean of 15, 20, 8, 12, 4 and 7? (a) 13 (b) 10 (c) 11 (d) 12
  16. 16.What is the median of 11, 37, 32, 33 and 23? (a) 31 (b) 32 (c) 33 (d) 23
  17. 17.What is the mode of 20, 17, 7, 15, 20, 20 and 15? (a) 17 (b) 15 (c) 7 (d) 20
  18. 18.What is the mode of 5, 12, 5, 14, 14, 9 and 14? (a) 12 (b) 9 (c) 5 (d) 14
  19. 19.What is the median of 2, 6, 21, 20, 29, 32 and 3? (a) 19 (b) 6 (c) 20 (d) 21
  20. 20.What is the mode of 14, 2, 14, 5, 5, 13 and 5? (a) 5 (b) 2 (c) 13 (d) 14
  21. 21.The mean of 6 numbers is 24. When the number 38 is added to them, what is the new mean? (a) 24 (b) 26 (c) 31 (d) 27
  22. 22.What is the median of 2, 15, 6, 10, 7, 3 and 9? (a) 10 (b) 6 (c) 9 (d) 7
  23. 23.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 20 (b) 16 (c) 30 (d) 21
  24. 24.The mean of 9 numbers is 35. When the number 75 is added to them, what is the new mean? (a) 40 (b) 39 (c) 35 (d) 55
  25. 25.What is the median of 1, 4, 3, 35, 7, 20 and 13? (a) 7 (b) 35 (c) 13 (d) 4
  26. 26.What is the mean of 4, 8, 8, 6, 11 and 17? (a) 11 (b) 9 (c) 8 (d) 10
  27. 27.The mean of 9 numbers is 33. When the number 3 is added to them, what is the new mean? (a) 31 (b) 33 (c) 30 (d) 18
  28. 28.What is the mode of 4, 3, 13, 13, 15, 13 and 15? (a) 15 (b) 4 (c) 13 (d) 3
  29. 29.What is the mean of 3, 2, 14 and 5? (a) 6 (b) 5 (c) 7 (d) 8
  30. 30.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 28 (b) 31 (c) 30 (d) 34
  31. 31.What is the mean of 3, 10, 15, 8, 13 and 11? (a) 10 (b) 9 (c) 11 (d) 12
  32. 32.The mean of 3 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 23 (b) 20 (c) 17 (d) 21
  33. 33.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 31
  34. 34.What is the mode of 5, 5, 4, 1, 4, 5 and 9? (a) 9 (b) 1 (c) 5 (d) 4
  35. 35.What is the mean of 13, 19, 4 and 4? (a) 10 (b) 9 (c) 8 (d) 11
  36. 36.What is the mean of 19, 12, 19, 7, 16 and 23? (a) 17 (b) 18 (c) 16 (d) 15
  37. 37.What is the mode of 1, 6, 11, 13, 1, 1 and 11? (a) 6 (b) 13 (c) 1 (d) 11
  38. 38.What is the mean of 11, 4, 5, 12 and 3? (a) 8 (b) 9 (c) 7 (d) 6
  39. 39.The mean of 9 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 50 (b) 43 (c) 40 (d) 42
  40. 40.What is the mean of 3, 17, 17, 3 and 20? (a) 13 (b) 10 (c) 15 (d) 12

Answer key

  1. 7
  2. 11
  3. 34
  4. 1
  5. 9
  6. 25
  7. 12
  8. 24
  9. 10
  10. 17
  11. 15
  12. 27
  13. 16
  14. 40
  15. 11
  16. 32
  17. 20
  18. 14
  19. 20
  20. 5
  21. 26
  22. 7
  23. 20
  24. 39
  25. 7
  26. 9
  27. 30
  28. 13
  29. 6
  30. 30
  31. 10
  32. 20
  33. 33
  34. 5
  35. 10
  36. 16
  37. 1
  38. 7
  39. 42
  40. 12

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