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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 645 · 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 mode of 7, 16, 4, 16, 16, 4 and 18? (a) 7 (b) 18 (c) 4 (d) 16
  2. 2.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 22 (b) 26 (c) 25 (d) 24
  3. 3.What is the mean of 15, 16, 11, 17, 17 and 8? (a) 12 (b) 15 (c) 13 (d) 14
  4. 4.What is the median of 33, 14, 9, 10, 16, 27 and 1? (a) 15 (b) 14 (c) 10 (d) 16
  5. 5.What is the median of 20, 40, 7, 3 and 23? (a) 7 (b) 20 (c) 21 (d) 23
  6. 6.What is the mode of 15, 4, 4, 17, 1, 17 and 17? (a) 1 (b) 4 (c) 17 (d) 15
  7. 7.What is the mean of 19, 6, 9, 16 and 15? (a) 14 (b) 13 (c) 15 (d) 12
  8. 8.What is the mean of 3, 11, 7, 4, 15 and 2? (a) 8 (b) 7 (c) 9 (d) 6
  9. 9.What is the mean of 15, 7, 16, 12 and 5? (a) 10 (b) 11 (c) 13 (d) 12
  10. 10.What is the mode of 7, 15, 5, 15, 4, 7 and 7? (a) 5 (b) 15 (c) 4 (d) 7
  11. 11.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 36 (b) 22 (c) 33 (d) 32
  12. 12.What is the median of 20, 22, 9, 11 and 12? (a) 11 (b) 9 (c) 20 (d) 12
  13. 13.What is the mode of 14, 14, 7, 7, 15, 2 and 14? (a) 7 (b) 14 (c) 2 (d) 15
  14. 14.What is the mean of 17, 5, 5, 10, 16 and 19? (a) 13 (b) 12 (c) 11 (d) 14
  15. 15.What is the median of 7, 12, 31, 29 and 2? (a) 31 (b) 12 (c) 29 (d) 7
  16. 16.What is the mean of 6, 5, 5, 4, 14 and 8? (a) 9 (b) 7 (c) 6 (d) 8
  17. 17.What is the median of 4, 32, 5, 2, 20, 8 and 17? (a) 5 (b) 8 (c) 17 (d) 2
  18. 18.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 14
  19. 19.What is the mode of 4, 3, 12, 10, 3, 3 and 12? (a) 12 (b) 3 (c) 10 (d) 4
  20. 20.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 29
  21. 21.What is the mode of 7, 17, 8, 7, 15, 7 and 17? (a) 17 (b) 15 (c) 8 (d) 7
  22. 22.What is the mean of 2, 17, 8, 7 and 16? (a) 12 (b) 11 (c) 9 (d) 10
  23. 23.What is the mean of 5, 18, 19, 11 and 17? (a) 13 (b) 14 (c) 15 (d) 16
  24. 24.What is the median of 38, 28, 24, 12 and 25? (a) 25 (b) 24 (c) 26 (d) 28
  25. 25.What is the mean of 14, 2, 5, 7 and 2? (a) 5 (b) 7 (c) 6 (d) 8
  26. 26.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 29 (b) 26 (c) 25 (d) 21
  27. 27.The mean of 6 numbers is 32. When the number 46 is added to them, what is the new mean? (a) 32 (b) 35 (c) 39 (d) 34
  28. 28.The mean of 4 numbers is 38. When the number 53 is added to them, what is the new mean? (a) 41 (b) 40 (c) 38 (d) 42
  29. 29.What is the median of 10, 40, 23, 5, 2, 3 and 11? (a) 9 (b) 11 (c) 10 (d) 5
  30. 30.What is the mean of 2, 10, 19 and 5? (a) 8 (b) 10 (c) 9 (d) 12
  31. 31.What is the mean of 4, 4, 8, 12 and 17? (a) 9 (b) 10 (c) 11 (d) 8
  32. 32.What is the mean of 8, 13, 6, 8 and 20? (a) 12 (b) 10 (c) 13 (d) 11
  33. 33.What is the median of 29, 2, 25, 17 and 10? (a) 18 (b) 17 (c) 25 (d) 10
  34. 34.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 31
  35. 35.What is the mode of 10, 3, 10, 18, 6, 6 and 10? (a) 18 (b) 10 (c) 3 (d) 6
  36. 36.What is the mode of 15, 1, 1, 9, 1, 16 and 9? (a) 1 (b) 16 (c) 15 (d) 9
  37. 37.What is the mean of 5, 3, 17 and 15? (a) 8 (b) 11 (c) 9 (d) 10
  38. 38.What is the median of 5, 13, 27, 2 and 20? (a) 13 (b) 20 (c) 5 (d) 27
  39. 39.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 35 (b) 23 (c) 19 (d) 24
  40. 40.What is the mode of 8, 6, 10, 8, 10, 15 and 10? (a) 10 (b) 6 (c) 15 (d) 8

Answer key

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

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