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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 73 · 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 4 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 29 (b) 23 (c) 30 (d) 33
  2. 2.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 21
  3. 3.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 31
  4. 4.What is the median of 14, 37, 5, 13, 36, 40 and 4? (a) 15 (b) 13 (c) 36 (d) 14
  5. 5.The mean of 4 numbers is 29. When the number 19 is added to them, what is the new mean? (a) 28 (b) 24 (c) 29 (d) 27
  6. 6.What is the mode of 5, 5, 16, 5, 20, 10 and 16? (a) 20 (b) 10 (c) 5 (d) 16
  7. 7.The mean of 6 numbers is 32. When the number 46 is added to them, what is the new mean? (a) 34 (b) 32 (c) 39 (d) 35
  8. 8.What is the mode of 3, 3, 3, 5, 12, 2 and 12? (a) 5 (b) 2 (c) 3 (d) 12
  9. 9.What is the median of 36, 9, 1, 11, 13, 40 and 30? (a) 13 (b) 11 (c) 30 (d) 20
  10. 10.The mean of 3 numbers is 14. When the number 10 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 13
  11. 11.What is the mean of 4, 19, 8, 10 and 19? (a) 10 (b) 12 (c) 13 (d) 15
  12. 12.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 31 (b) 34 (c) 30 (d) 24
  13. 13.What is the mode of 1, 18, 3, 1, 1, 5 and 3? (a) 18 (b) 3 (c) 1 (d) 5
  14. 14.What is the median of 30, 29, 33, 27 and 24? (a) 29 (b) 30 (c) 33 (d) 27
  15. 15.What is the median of 1, 16, 19, 15 and 5? (a) 15 (b) 5 (c) 16 (d) 19
  16. 16.What is the mode of 13, 19, 2, 9, 2, 2 and 13? (a) 9 (b) 19 (c) 13 (d) 2
  17. 17.What is the median of 17, 23, 25, 34 and 27? (a) 26 (b) 23 (c) 27 (d) 25
  18. 18.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 29 (b) 31 (c) 28 (d) 30
  19. 19.What is the median of 26, 36, 8, 22, 38, 25 and 11? (a) 24 (b) 25 (c) 26 (d) 22
  20. 20.What is the mean of 19, 5, 7, 10 and 24? (a) 15 (b) 14 (c) 12 (d) 13
  21. 21.What is the median of 8, 4, 29, 9 and 26? (a) 29 (b) 8 (c) 26 (d) 9
  22. 22.What is the median of 23, 7, 40, 14, 12, 18 and 22? (a) 19 (b) 18 (c) 22 (d) 14
  23. 23.What is the mean of 12, 3, 15, 16 and 9? (a) 13 (b) 10 (c) 12 (d) 11
  24. 24.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  25. 25.What is the median of 36, 4, 16, 23, 25, 20 and 11? (a) 21 (b) 16 (c) 20 (d) 23
  26. 26.What is the mean of 4, 19, 15 and 10? (a) 12 (b) 16 (c) 11 (d) 13
  27. 27.What is the mean of 4, 2, 8 and 18? (a) 9 (b) 7 (c) 8 (d) 10
  28. 28.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 23
  29. 29.The mean of 8 numbers is 11. When the number 2 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  30. 30.What is the mode of 7, 7, 4, 4, 19, 18 and 7? (a) 4 (b) 18 (c) 19 (d) 7
  31. 31.What is the mean of 19, 14, 14 and 5? (a) 13 (b) 12 (c) 15 (d) 14
  32. 32.What is the mean of 6, 8, 5, 12, 3 and 8? (a) 7 (b) 9 (c) 6 (d) 8
  33. 33.What is the mode of 15, 3, 15, 15, 1, 5 and 1? (a) 5 (b) 3 (c) 1 (d) 15
  34. 34.What is the mean of 4, 17, 5 and 14? (a) 10 (b) 8 (c) 11 (d) 9
  35. 35.What is the mean of 14, 15, 4, 2, 18 and 7? (a) 10 (b) 11 (c) 12 (d) 9
  36. 36.The mean of 6 numbers is 38. When the number 45 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 38
  37. 37.What is the mode of 5, 12, 5, 20, 5, 6 and 12? (a) 5 (b) 12 (c) 6 (d) 20
  38. 38.What is the median of 30, 27, 15, 19 and 28? (a) 27 (b) 15 (c) 28 (d) 19
  39. 39.What is the mode of 7, 12, 7, 5, 5, 7 and 15? (a) 7 (b) 15 (c) 12 (d) 5
  40. 40.The mean of 7 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 37 (b) 35 (c) 38 (d) 39

Answer key

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

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