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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 692 · 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 11, 10, 9 and 6? (a) 8 (b) 10 (c) 9 (d) 12
  2. 2.What is the mean of 4, 4, 8, 14, 18 and 18? (a) 12 (b) 13 (c) 11 (d) 10
  3. 3.What is the mean of 17, 5, 2, 12, 19 and 23? (a) 14 (b) 12 (c) 15 (d) 13
  4. 4.What is the mode of 9, 11, 11, 11, 9, 3 and 1? (a) 11 (b) 3 (c) 1 (d) 9
  5. 5.The mean of 3 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 23
  6. 6.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 20 (b) 14 (c) 18 (d) 17
  7. 7.What is the mean of 14, 12, 18, 7, 12 and 9? (a) 14 (b) 12 (c) 13 (d) 11
  8. 8.What is the mode of 15, 18, 19, 18, 18, 19 and 17? (a) 17 (b) 15 (c) 18 (d) 19
  9. 9.What is the mean of 17, 4, 19 and 8? (a) 16 (b) 11 (c) 12 (d) 13
  10. 10.What is the mean of 10, 18, 8 and 20? (a) 16 (b) 14 (c) 15 (d) 13
  11. 11.What is the median of 25, 32, 10, 7, 15, 20 and 2? (a) 15 (b) 7 (c) 20 (d) 10
  12. 12.The mean of 5 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 25 (b) 28 (c) 19 (d) 26
  13. 13.What is the mean of 11, 7, 7, 14 and 16? (a) 11 (b) 10 (c) 13 (d) 12
  14. 14.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 28 (c) 32 (d) 34
  15. 15.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 38 (b) 33 (c) 45 (d) 37
  16. 16.What is the mode of 3, 1, 20, 20, 12, 3 and 3? (a) 12 (b) 20 (c) 3 (d) 1
  17. 17.The mean of 4 numbers is 16. When the number 31 is added to them, what is the new mean? (a) 20 (b) 18 (c) 16 (d) 19
  18. 18.What is the mean of 19, 3, 16, 3 and 9? (a) 11 (b) 12 (c) 10 (d) 9
  19. 19.What is the median of 39, 37, 9, 5 and 6? (a) 6 (b) 10 (c) 9 (d) 37
  20. 20.What is the mode of 10, 10, 7, 20, 10, 2 and 20? (a) 2 (b) 20 (c) 7 (d) 10
  21. 21.What is the mean of 19, 6, 20, 18 and 7? (a) 13 (b) 15 (c) 16 (d) 14
  22. 22.What is the median of 21, 25, 28, 6, 22, 33 and 27? (a) 6 (b) 27 (c) 25 (d) 22
  23. 23.What is the median of 32, 22, 24, 4, 7, 34 and 11? (a) 11 (b) 24 (c) 22 (d) 4
  24. 24.What is the median of 13, 8, 6, 3 and 34? (a) 6 (b) 9 (c) 8 (d) 13
  25. 25.What is the mode of 9, 9, 16, 8, 9, 6 and 6? (a) 16 (b) 9 (c) 6 (d) 8
  26. 26.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 22 (c) 25 (d) 21
  27. 27.What is the median of 12, 2, 4, 37 and 40? (a) 19 (b) 37 (c) 12 (d) 4
  28. 28.What is the mean of 4, 19, 17, 16, 4 and 12? (a) 13 (b) 11 (c) 14 (d) 12
  29. 29.What is the mean of 12, 9, 4 and 19? (a) 12 (b) 10 (c) 13 (d) 11
  30. 30.What is the mode of 9, 12, 19, 12, 9, 3 and 9? (a) 12 (b) 19 (c) 3 (d) 9
  31. 31.What is the mode of 2, 15, 2, 2, 3, 20 and 15? (a) 2 (b) 20 (c) 15 (d) 3
  32. 32.What is the mean of 19, 13, 16, 4 and 8? (a) 15 (b) 12 (c) 13 (d) 10
  33. 33.The mean of 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 24 (b) 32 (c) 20 (d) 23
  34. 34.What is the median of 28, 8, 13, 24, 40, 3 and 35? (a) 28 (b) 24 (c) 25 (d) 13
  35. 35.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 23
  36. 36.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 32
  37. 37.What is the mode of 8, 8, 8, 20, 3, 2 and 2? (a) 20 (b) 3 (c) 2 (d) 8
  38. 38.What is the mean of 13, 14, 3, 3 and 12? (a) 9 (b) 10 (c) 11 (d) 8
  39. 39.What is the mean of 5, 9, 17 and 17? (a) 13 (b) 16 (c) 12 (d) 11
  40. 40.What is the median of 23, 5, 4, 28, 11, 33 and 34? (a) 28 (b) 23 (c) 24 (d) 11

Answer key

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

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