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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 415 · 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 19, 7, 20, 3, 8 and 9? (a) 11 (b) 12 (c) 10 (d) 13
  2. 2.What is the mean of 2, 15, 5, 15 and 8? (a) 9 (b) 8 (c) 11 (d) 10
  3. 3.What is the mode of 3, 3, 9, 5, 9, 3 and 20? (a) 20 (b) 3 (c) 9 (d) 5
  4. 4.What is the median of 16, 15, 20, 25, 14, 4 and 3? (a) 25 (b) 16 (c) 14 (d) 15
  5. 5.What is the mode of 6, 6, 6, 9, 11, 1 and 11? (a) 11 (b) 9 (c) 1 (d) 6
  6. 6.The mean of 4 numbers is 24. When the number 14 is added to them, what is the new mean? (a) 19 (b) 24 (c) 23 (d) 22
  7. 7.What is the median of 10, 5, 29, 15 and 36? (a) 19 (b) 29 (c) 10 (d) 15
  8. 8.What is the mode of 2, 7, 7, 16, 7, 2 and 12? (a) 2 (b) 16 (c) 7 (d) 12
  9. 9.What is the median of 12, 8, 14, 19 and 7? (a) 12 (b) 14 (c) 8 (d) 13
  10. 10.What is the median of 36, 9, 22, 31 and 30? (a) 31 (b) 30 (c) 22 (d) 29
  11. 11.The mean of 9 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 23 (b) 28 (c) 26 (d) 27
  12. 12.What is the mean of 8, 20, 12, 6 and 14? (a) 13 (b) 10 (c) 12 (d) 15
  13. 13.What is the median of 37, 7, 21, 39 and 8? (a) 21 (b) 8 (c) 37 (d) 22
  14. 14.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 39 (b) 38 (c) 37 (d) 40
  15. 15.What is the mode of 10, 14, 19, 19, 16, 19 and 14? (a) 19 (b) 10 (c) 16 (d) 14
  16. 16.What is the mean of 6, 2, 15, 16, 15 and 12? (a) 11 (b) 13 (c) 10 (d) 12
  17. 17.What is the mode of 8, 8, 19, 8, 15, 18 and 18? (a) 18 (b) 19 (c) 8 (d) 15
  18. 18.What is the mean of 14, 17, 9 and 8? (a) 13 (b) 11 (c) 16 (d) 12
  19. 19.What is the mode of 17, 17, 7, 7, 9, 14 and 17? (a) 7 (b) 14 (c) 17 (d) 9
  20. 20.What is the mean of 17, 8, 7, 4 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  21. 21.What is the mean of 8, 10, 7 and 19? (a) 11 (b) 12 (c) 10 (d) 13
  22. 22.What is the median of 40, 35, 24, 31 and 10? (a) 24 (b) 28 (c) 31 (d) 35
  23. 23.What is the mean of 10, 11, 14, 3, 7 and 9? (a) 8 (b) 9 (c) 10 (d) 11
  24. 24.What is the mode of 11, 14, 14, 9, 7, 7 and 14? (a) 11 (b) 7 (c) 9 (d) 14
  25. 25.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 34
  26. 26.What is the mode of 14, 18, 18, 16, 14, 14 and 7? (a) 18 (b) 7 (c) 16 (d) 14
  27. 27.What is the mean of 13, 3, 3 and 21? (a) 11 (b) 8 (c) 10 (d) 9
  28. 28.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 25
  29. 29.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 18 (b) 17 (c) 14 (d) 16
  30. 30.What is the mode of 1, 14, 1, 6, 1, 16 and 16? (a) 1 (b) 14 (c) 16 (d) 6
  31. 31.What is the mode of 17, 17, 16, 7, 14, 14 and 14? (a) 17 (b) 16 (c) 7 (d) 14
  32. 32.The mean of 9 numbers is 27. When the number 37 is added to them, what is the new mean? (a) 32 (b) 29 (c) 28 (d) 27
  33. 33.What is the mean of 16, 9, 20, 11 and 14? (a) 13 (b) 16 (c) 15 (d) 14
  34. 34.What is the median of 24, 13, 1, 4 and 40? (a) 13 (b) 24 (c) 4 (d) 1
  35. 35.The mean of 4 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 24 (b) 29 (c) 26 (d) 27
  36. 36.What is the mode of 8, 11, 11, 6, 11, 8 and 19? (a) 11 (b) 8 (c) 6 (d) 19
  37. 37.The mean of 3 numbers is 38. When the number 22 is added to them, what is the new mean? (a) 30 (b) 38 (c) 35 (d) 34
  38. 38.What is the median of 31, 23, 34, 26, 6, 35 and 13? (a) 23 (b) 24 (c) 31 (d) 26
  39. 39.The mean of 9 numbers is 33. When the number 3 is added to them, what is the new mean? (a) 18 (b) 33 (c) 31 (d) 30
  40. 40.What is the mean of 10, 20, 3 and 3? (a) 10 (b) 8 (c) 9 (d) 12

Answer key

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

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