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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 271 · 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 20, 18, 12, 18, 5, 5 and 18? (a) 5 (b) 18 (c) 20 (d) 12
  2. 2.What is the mode of 17, 11, 11, 15, 11, 10 and 10? (a) 17 (b) 10 (c) 11 (d) 15
  3. 3.What is the mean of 6, 9, 3, 8, 10 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  4. 4.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 15
  5. 5.What is the mode of 4, 11, 11, 11, 4, 5 and 12? (a) 11 (b) 12 (c) 5 (d) 4
  6. 6.What is the mean of 12, 5, 2 and 9? (a) 6 (b) 8 (c) 7 (d) 9
  7. 7.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  8. 8.What is the mean of 14, 13, 2 and 7? (a) 9 (b) 12 (c) 10 (d) 8
  9. 9.What is the median of 13, 5, 35, 24, 31, 39 and 3? (a) 13 (b) 24 (c) 31 (d) 25
  10. 10.What is the mean of 3, 18, 11, 14, 15 and 17? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.What is the mode of 10, 20, 11, 14, 14, 10 and 14? (a) 20 (b) 10 (c) 11 (d) 14
  12. 12.What is the mean of 3, 13, 18, 20 and 11? (a) 15 (b) 14 (c) 12 (d) 13
  13. 13.What is the mode of 11, 4, 4, 4, 8, 10 and 11? (a) 11 (b) 10 (c) 4 (d) 8
  14. 14.The mean of 8 numbers is 14. When the number 32 is added to them, what is the new mean? (a) 23 (b) 14 (c) 17 (d) 16
  15. 15.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 9 (c) 12 (d) 13
  16. 16.The mean of 4 numbers is 23. When the number 28 is added to them, what is the new mean? (a) 25 (b) 23 (c) 26 (d) 24
  17. 17.What is the mean of 13, 9, 8 and 18? (a) 13 (b) 11 (c) 16 (d) 12
  18. 18.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 21 (b) 22 (c) 19 (d) 29
  19. 19.What is the median of 5, 23, 10, 12 and 3? (a) 5 (b) 11 (c) 10 (d) 12
  20. 20.What is the mode of 10, 1, 1, 15, 15, 13 and 1? (a) 1 (b) 10 (c) 13 (d) 15
  21. 21.What is the mean of 5, 10, 5, 2, 2 and 18? (a) 9 (b) 7 (c) 6 (d) 8
  22. 22.What is the mean of 5, 18, 4 and 5? (a) 8 (b) 9 (c) 10 (d) 7
  23. 23.What is the mean of 2, 16, 16 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  24. 24.What is the mean of 15, 20, 15, 11, 18 and 23? (a) 16 (b) 19 (c) 17 (d) 18
  25. 25.What is the median of 37, 14, 22, 15, 28, 19 and 10? (a) 19 (b) 15 (c) 20 (d) 22
  26. 26.What is the mean of 15, 16, 10, 2, 9 and 20? (a) 12 (b) 13 (c) 11 (d) 14
  27. 27.What is the mode of 20, 20, 6, 6, 1, 6 and 11? (a) 11 (b) 20 (c) 6 (d) 1
  28. 28.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 37 (b) 39 (c) 40 (d) 38
  29. 29.What is the mean of 4, 19, 16, 20, 10 and 21? (a) 16 (b) 14 (c) 18 (d) 15
  30. 30.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 27
  31. 31.What is the median of 16, 17, 26, 14 and 1? (a) 14 (b) 16 (c) 17 (d) 26
  32. 32.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 33 (b) 32 (c) 28 (d) 44
  33. 33.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 52 (b) 39 (c) 34 (d) 38
  34. 34.What is the mode of 4, 3, 19, 3, 19, 3 and 8? (a) 19 (b) 8 (c) 4 (d) 3
  35. 35.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 40 (b) 37 (c) 36 (d) 32
  36. 36.What is the mode of 17, 3, 17, 20, 20, 17 and 5? (a) 20 (b) 5 (c) 3 (d) 17
  37. 37.The mean of 7 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 33 (b) 31 (c) 34 (d) 35
  38. 38.What is the mean of 13, 7, 6 and 2? (a) 6 (b) 9 (c) 8 (d) 7
  39. 39.What is the mode of 18, 14, 9, 9, 14, 15 and 9? (a) 18 (b) 15 (c) 9 (d) 14
  40. 40.What is the mean of 12, 6, 7 and 19? (a) 13 (b) 11 (c) 10 (d) 12

Answer key

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

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