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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 515 · 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 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 22 (c) 23 (d) 21
  2. 2.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 16 (b) 14 (c) 13 (d) 15
  3. 3.What is the median of 23, 28, 19, 26, 2, 1 and 6? (a) 23 (b) 26 (c) 19 (d) 15
  4. 4.What is the mean of 3, 16, 3 and 10? (a) 10 (b) 7 (c) 9 (d) 8
  5. 5.What is the mode of 4, 11, 11, 17, 4, 11 and 5? (a) 4 (b) 17 (c) 11 (d) 5
  6. 6.The mean of 9 numbers is 37. When the number 27 is added to them, what is the new mean? (a) 32 (b) 37 (c) 36 (d) 35
  7. 7.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 31 (b) 28 (c) 30 (d) 33
  8. 8.What is the mode of 14, 9, 16, 9, 10, 10 and 10? (a) 14 (b) 16 (c) 9 (d) 10
  9. 9.What is the mean of 4, 17, 8 and 19? (a) 13 (b) 16 (c) 12 (d) 11
  10. 10.What is the mean of 14, 4, 7, 20, 2 and 13? (a) 12 (b) 9 (c) 10 (d) 11
  11. 11.What is the mean of 18, 16, 5, 11 and 5? (a) 11 (b) 10 (c) 12 (d) 13
  12. 12.What is the median of 3, 25, 32, 18, 2, 11 and 4? (a) 18 (b) 12 (c) 4 (d) 11
  13. 13.What is the mode of 7, 7, 9, 5, 14, 9 and 9? (a) 5 (b) 9 (c) 14 (d) 7
  14. 14.What is the mean of 20, 3, 18 and 15? (a) 16 (b) 14 (c) 13 (d) 15
  15. 15.What is the mean of 2, 10, 9, 3 and 16? (a) 10 (b) 8 (c) 7 (d) 9
  16. 16.What is the mean of 6, 7, 18 and 5? (a) 9 (b) 8 (c) 12 (d) 10
  17. 17.What is the mode of 14, 14, 19, 14, 9, 3 and 19? (a) 14 (b) 3 (c) 9 (d) 19
  18. 18.What is the mean of 5, 20, 7 and 8? (a) 8 (b) 11 (c) 10 (d) 9
  19. 19.What is the median of 18, 23, 9, 8 and 35? (a) 9 (b) 23 (c) 18 (d) 19
  20. 20.What is the mode of 1, 17, 8, 8, 8, 18 and 18? (a) 8 (b) 1 (c) 18 (d) 17
  21. 21.What is the mode of 8, 9, 12, 8, 9, 6 and 9? (a) 12 (b) 8 (c) 9 (d) 6
  22. 22.What is the mode of 15, 3, 15, 3, 2, 13 and 3? (a) 15 (b) 2 (c) 3 (d) 13
  23. 23.What is the mode of 15, 12, 15, 1, 8, 15 and 8? (a) 15 (b) 8 (c) 1 (d) 12
  24. 24.The mean of 4 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 27
  25. 25.What is the median of 25, 27, 17, 39 and 30? (a) 30 (b) 27 (c) 17 (d) 25
  26. 26.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 18
  27. 27.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 17
  28. 28.What is the median of 37, 18, 32, 29 and 15? (a) 32 (b) 30 (c) 18 (d) 29
  29. 29.What is the mean of 13, 8, 8 and 23? (a) 13 (b) 14 (c) 15 (d) 12
  30. 30.What is the median of 17, 16, 26, 30 and 21? (a) 21 (b) 22 (c) 17 (d) 26
  31. 31.The mean of 3 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 12 (b) 20 (c) 17 (d) 16
  32. 32.What is the mean of 11, 12, 7 and 22? (a) 13 (b) 15 (c) 14 (d) 12
  33. 33.What is the mean of 14, 20, 5 and 9? (a) 11 (b) 12 (c) 16 (d) 13
  34. 34.What is the mode of 11, 11, 12, 13, 12, 4 and 12? (a) 13 (b) 12 (c) 11 (d) 4
  35. 35.What is the mean of 15, 20, 19, 2, 10 and 6? (a) 13 (b) 11 (c) 14 (d) 12
  36. 36.What is the mode of 8, 10, 17, 10, 10, 17 and 18? (a) 17 (b) 18 (c) 8 (d) 10
  37. 37.The mean of 4 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 34 (c) 39 (d) 37
  38. 38.What is the mean of 7, 12, 6 and 19? (a) 13 (b) 11 (c) 10 (d) 12
  39. 39.What is the median of 34, 25, 3, 4 and 40? (a) 34 (b) 3 (c) 4 (d) 25
  40. 40.What is the mean of 4, 6, 9, 9, 2 and 12? (a) 7 (b) 8 (c) 6 (d) 9

Answer key

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

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