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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 75 · 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 20, 5, 10 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  2. 2.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 27 (b) 21 (c) 25 (d) 26
  3. 3.What is the median of 3, 25, 20, 27 and 39? (a) 26 (b) 27 (c) 20 (d) 25
  4. 4.The mean of 5 numbers is 35. When the number 29 is added to them, what is the new mean? (a) 34 (b) 33 (c) 32 (d) 35
  5. 5.What is the mode of 15, 1, 19, 15, 1, 16 and 1? (a) 1 (b) 19 (c) 15 (d) 16
  6. 6.What is the median of 15, 16, 2, 22, 10, 8 and 9? (a) 9 (b) 10 (c) 22 (d) 15
  7. 7.The mean of 5 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 24 (b) 30 (c) 26 (d) 27
  8. 8.What is the median of 1, 32, 25, 30, 15, 23 and 36? (a) 25 (b) 26 (c) 23 (d) 30
  9. 9.What is the mean of 10, 18, 2 and 10? (a) 8 (b) 10 (c) 11 (d) 9
  10. 10.What is the mode of 12, 3, 15, 19, 12, 3 and 3? (a) 15 (b) 19 (c) 12 (d) 3
  11. 11.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 10 (b) 24 (c) 14 (d) 15
  12. 12.What is the mode of 17, 18, 19, 11, 18, 18 and 17? (a) 17 (b) 18 (c) 11 (d) 19
  13. 13.What is the mode of 6, 1, 1, 6, 1, 20 and 14? (a) 6 (b) 1 (c) 14 (d) 20
  14. 14.The mean of 6 numbers is 36. When the number 57 is added to them, what is the new mean? (a) 36 (b) 38 (c) 40 (d) 39
  15. 15.What is the mean of 4, 18, 14, 13, 4 and 25? (a) 12 (b) 15 (c) 14 (d) 13
  16. 16.What is the mean of 10, 5, 3, 5 and 17? (a) 9 (b) 7 (c) 8 (d) 10
  17. 17.What is the median of 15, 16, 5, 36, 28, 29 and 13? (a) 15 (b) 36 (c) 16 (d) 28
  18. 18.The mean of 7 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 14 (b) 10 (c) 11 (d) 12
  19. 19.What is the mode of 9, 12, 9, 12, 17, 7 and 9? (a) 17 (b) 7 (c) 12 (d) 9
  20. 20.What is the mode of 3, 6, 19, 19, 6, 6 and 11? (a) 6 (b) 11 (c) 3 (d) 19
  21. 21.What is the median of 24, 19, 22, 40, 9, 11 and 12? (a) 12 (b) 22 (c) 19 (d) 40
  22. 22.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 14 (b) 15 (c) 12 (d) 16
  23. 23.What is the median of 20, 26, 40, 32, 23, 5 and 33? (a) 27 (b) 32 (c) 26 (d) 23
  24. 24.What is the median of 15, 2, 19, 24 and 3? (a) 16 (b) 15 (c) 3 (d) 19
  25. 25.What is the mode of 4, 18, 7, 7, 9, 18 and 7? (a) 18 (b) 9 (c) 4 (d) 7
  26. 26.What is the mean of 2, 20, 8, 17, 9 and 10? (a) 11 (b) 12 (c) 10 (d) 13
  27. 27.What is the median of 15, 40, 4, 33 and 34? (a) 34 (b) 33 (c) 15 (d) 4
  28. 28.What is the median of 2, 22, 26, 38 and 20? (a) 20 (b) 23 (c) 26 (d) 22
  29. 29.What is the mode of 7, 7, 7, 17, 15, 15 and 13? (a) 15 (b) 13 (c) 17 (d) 7
  30. 30.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 22 (b) 24 (c) 20 (d) 21
  31. 31.What is the mean of 17, 3, 2, 10, 7 and 21? (a) 11 (b) 10 (c) 9 (d) 12
  32. 32.What is the mean of 5, 17, 6 and 8? (a) 10 (b) 9 (c) 8 (d) 12
  33. 33.What is the mode of 4, 8, 9, 9, 9, 5 and 5? (a) 4 (b) 5 (c) 9 (d) 8
  34. 34.What is the mode of 11, 6, 2, 2, 20, 6 and 6? (a) 20 (b) 11 (c) 2 (d) 6
  35. 35.What is the median of 4, 10, 2, 3 and 32? (a) 2 (b) 4 (c) 3 (d) 10
  36. 36.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  37. 37.What is the median of 34, 17, 21, 38 and 25? (a) 21 (b) 27 (c) 25 (d) 34
  38. 38.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 45 (b) 41 (c) 37 (d) 42
  39. 39.What is the median of 37, 30, 20, 7, 18, 27 and 22? (a) 22 (b) 7 (c) 23 (d) 27
  40. 40.What is the mode of 4, 16, 16, 12, 11, 11 and 16? (a) 4 (b) 12 (c) 11 (d) 16

Answer key

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

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