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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 532 · 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 9, 11, 14, 17 and 9? (a) 10 (b) 15 (c) 13 (d) 12
  2. 2.What is the mode of 17, 17, 15, 8, 4, 15 and 17? (a) 4 (b) 17 (c) 8 (d) 15
  3. 3.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 38 (b) 43 (c) 37 (d) 33
  4. 4.What is the mode of 3, 5, 9, 19, 5, 3 and 5? (a) 3 (b) 19 (c) 9 (d) 5
  5. 5.The mean of 6 numbers is 29. When the number 15 is added to them, what is the new mean? (a) 22 (b) 28 (c) 27 (d) 29
  6. 6.What is the mean of 2, 10, 20 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  7. 7.What is the mode of 15, 7, 1, 15, 15, 18 and 1? (a) 15 (b) 18 (c) 7 (d) 1
  8. 8.What is the mean of 5, 3, 20, 2, 18 and 18? (a) 10 (b) 13 (c) 11 (d) 12
  9. 9.What is the median of 17, 29, 7, 22 and 4? (a) 7 (b) 18 (c) 17 (d) 22
  10. 10.The mean of 8 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 29 (b) 20 (c) 23 (d) 22
  11. 11.What is the mean of 20, 10, 18, 19 and 18? (a) 18 (b) 19 (c) 17 (d) 16
  12. 12.What is the mean of 5, 11, 10 and 14? (a) 9 (b) 8 (c) 10 (d) 11
  13. 13.What is the mode of 10, 10, 13, 3, 13, 16 and 10? (a) 16 (b) 3 (c) 10 (d) 13
  14. 14.What is the median of 23, 28, 7, 20 and 22? (a) 22 (b) 7 (c) 20 (d) 23
  15. 15.What is the median of 20, 15, 5, 8, 14, 21 and 34? (a) 14 (b) 15 (c) 8 (d) 20
  16. 16.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  17. 17.The mean of 8 numbers is 27. When the number 36 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 30
  18. 18.What is the mode of 7, 5, 5, 13, 5, 7 and 12? (a) 5 (b) 13 (c) 7 (d) 12
  19. 19.The mean of 6 numbers is 25. When the number 46 is added to them, what is the new mean? (a) 29 (b) 27 (c) 28 (d) 25
  20. 20.What is the mode of 12, 6, 8, 12, 19, 12 and 8? (a) 19 (b) 12 (c) 8 (d) 6
  21. 21.What is the mode of 19, 15, 7, 11, 15, 19 and 15? (a) 11 (b) 19 (c) 7 (d) 15
  22. 22.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 27 (b) 20 (c) 17 (d) 19
  23. 23.What is the mean of 4, 11, 20, 13, 12 and 12? (a) 11 (b) 13 (c) 14 (d) 12
  24. 24.What is the mode of 19, 13, 9, 13, 20, 9 and 13? (a) 9 (b) 19 (c) 13 (d) 20
  25. 25.What is the mean of 10, 3, 4, 8 and 15? (a) 8 (b) 7 (c) 10 (d) 9
  26. 26.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 20 (b) 16 (c) 30 (d) 21
  27. 27.What is the mean of 6, 16, 2, 11, 18 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  28. 28.What is the mode of 11, 10, 1, 9, 1, 1 and 9? (a) 1 (b) 11 (c) 10 (d) 9
  29. 29.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  30. 30.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 37 (b) 36 (c) 34 (d) 35
  31. 31.What is the median of 23, 18, 8, 34 and 12? (a) 8 (b) 19 (c) 23 (d) 18
  32. 32.What is the median of 36, 1, 34, 23 and 4? (a) 23 (b) 4 (c) 24 (d) 34
  33. 33.What is the mean of 12, 9, 12, 8, 17 and 8? (a) 12 (b) 13 (c) 11 (d) 10
  34. 34.What is the mean of 13, 17, 2, 17, 15 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  35. 35.What is the mean of 3, 14, 20 and 19? (a) 14 (b) 13 (c) 16 (d) 15
  36. 36.What is the mean of 7, 9, 5 and 19? (a) 8 (b) 11 (c) 10 (d) 9
  37. 37.What is the mean of 10, 18, 10, 12, 12 and 16? (a) 12 (b) 13 (c) 14 (d) 15
  38. 38.What is the mode of 2, 15, 2, 20, 2, 3 and 20? (a) 20 (b) 15 (c) 3 (d) 2
  39. 39.What is the mode of 11, 11, 9, 12, 11, 2 and 12? (a) 2 (b) 9 (c) 11 (d) 12
  40. 40.The mean of 8 numbers is 14. When the number 5 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 15

Answer key

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

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