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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 167 · 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.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 27 (b) 28 (c) 21 (d) 30
  2. 2.What is the mean of 3, 15, 7 and 3? (a) 7 (b) 6 (c) 8 (d) 9
  3. 3.What is the mode of 3, 14, 11, 11, 3, 3 and 9? (a) 11 (b) 3 (c) 14 (d) 9
  4. 4.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 28 (b) 27 (c) 24 (d) 29
  5. 5.What is the mode of 20, 3, 4, 17, 17, 17 and 4? (a) 20 (b) 3 (c) 4 (d) 17
  6. 6.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 22 (b) 25 (c) 26 (d) 24
  7. 7.What is the mean of 4, 2, 10 and 8? (a) 5 (b) 6 (c) 8 (d) 7
  8. 8.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 44 (b) 32 (c) 37 (d) 36
  9. 9.What is the median of 31, 22, 10, 3, 23, 21 and 18? (a) 18 (b) 21 (c) 22 (d) 3
  10. 10.The mean of 6 numbers is 39. When the number 60 is added to them, what is the new mean? (a) 39 (b) 42 (c) 43 (d) 41
  11. 11.What is the mean of 2, 18, 10 and 6? (a) 9 (b) 12 (c) 10 (d) 8
  12. 12.The mean of 3 numbers is 28. When the number 44 is added to them, what is the new mean? (a) 32 (b) 28 (c) 33 (d) 36
  13. 13.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 30
  14. 14.What is the median of 17, 35, 8, 2, 14, 10 and 29? (a) 2 (b) 17 (c) 10 (d) 14
  15. 15.What is the median of 24, 7, 1, 32, 8, 14 and 13? (a) 32 (b) 8 (c) 13 (d) 14
  16. 16.The mean of 5 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 27 (b) 19 (c) 31 (d) 28
  17. 17.What is the mode of 17, 19, 19, 14, 17, 16 and 19? (a) 17 (b) 16 (c) 14 (d) 19
  18. 18.The mean of 3 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 24 (b) 23 (c) 19 (d) 27
  19. 19.What is the mode of 14, 12, 18, 8, 18, 8 and 18? (a) 14 (b) 18 (c) 8 (d) 12
  20. 20.What is the mean of 3, 17, 4, 7 and 9? (a) 8 (b) 9 (c) 10 (d) 7
  21. 21.What is the mean of 9, 13, 3 and 19? (a) 11 (b) 13 (c) 10 (d) 12
  22. 22.What is the mean of 7, 13, 5 and 15? (a) 8 (b) 11 (c) 9 (d) 10
  23. 23.What is the mode of 16, 16, 14, 4, 16, 7 and 14? (a) 16 (b) 4 (c) 14 (d) 7
  24. 24.What is the median of 14, 1, 38, 32, 4, 28 and 15? (a) 28 (b) 14 (c) 32 (d) 15
  25. 25.What is the mode of 10, 5, 10, 5, 10, 20 and 17? (a) 10 (b) 20 (c) 17 (d) 5
  26. 26.What is the mean of 13, 6, 13, 13 and 15? (a) 10 (b) 15 (c) 13 (d) 12
  27. 27.What is the mode of 4, 9, 20, 20, 7, 9 and 20? (a) 4 (b) 20 (c) 7 (d) 9
  28. 28.What is the median of 2, 13, 33, 7, 34, 21 and 22? (a) 22 (b) 13 (c) 7 (d) 21
  29. 29.What is the mode of 12, 7, 20, 12, 20, 12 and 19? (a) 7 (b) 20 (c) 12 (d) 19
  30. 30.What is the median of 17, 4, 29, 14 and 34? (a) 14 (b) 17 (c) 18 (d) 29
  31. 31.What is the mode of 3, 17, 11, 11, 3, 7 and 3? (a) 3 (b) 17 (c) 7 (d) 11
  32. 32.What is the mean of 3, 5, 20 and 4? (a) 9 (b) 8 (c) 10 (d) 7
  33. 33.What is the mean of 15, 4, 15 and 10? (a) 10 (b) 12 (c) 11 (d) 13
  34. 34.What is the mean of 6, 3, 19, 4 and 18? (a) 9 (b) 10 (c) 11 (d) 12
  35. 35.What is the mode of 1, 20, 18, 20, 1, 20 and 13? (a) 18 (b) 13 (c) 20 (d) 1
  36. 36.What is the mode of 14, 20, 14, 14, 5, 5 and 8? (a) 20 (b) 8 (c) 14 (d) 5
  37. 37.What is the mean of 3, 5, 4, 13, 20 and 21? (a) 11 (b) 13 (c) 10 (d) 12
  38. 38.What is the mean of 13, 9, 19, 3, 15 and 7? (a) 10 (b) 12 (c) 11 (d) 13
  39. 39.What is the mean of 8, 16, 15 and 9? (a) 11 (b) 13 (c) 12 (d) 16
  40. 40.What is the median of 20, 25, 28, 34, 33, 4 and 3? (a) 25 (b) 34 (c) 21 (d) 28

Answer key

  1. 27
  2. 7
  3. 3
  4. 27
  5. 17
  6. 25
  7. 6
  8. 36
  9. 21
  10. 42
  11. 9
  12. 32
  13. 35
  14. 14
  15. 13
  16. 27
  17. 19
  18. 23
  19. 18
  20. 8
  21. 11
  22. 10
  23. 16
  24. 15
  25. 10
  26. 12
  27. 20
  28. 21
  29. 12
  30. 17
  31. 3
  32. 8
  33. 11
  34. 10
  35. 20
  36. 14
  37. 11
  38. 11
  39. 12
  40. 25

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