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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 21 · 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 median of 34, 28, 26, 40 and 11? (a) 26 (b) 29 (c) 34 (d) 28
  2. 2.The mean of 5 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 25
  3. 3.The mean of 9 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 44 (b) 36 (c) 37 (d) 34
  4. 4.What is the mean of 16, 13, 20 and 19? (a) 16 (b) 18 (c) 17 (d) 19
  5. 5.What is the mode of 8, 13, 6, 3, 3, 8 and 8? (a) 13 (b) 3 (c) 6 (d) 8
  6. 6.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 45 (b) 33 (c) 37 (d) 38
  7. 7.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 25
  8. 8.What is the mode of 6, 6, 11, 17, 17, 15 and 6? (a) 17 (b) 11 (c) 15 (d) 6
  9. 9.What is the median of 4, 37, 34, 12 and 1? (a) 4 (b) 34 (c) 12 (d) 13
  10. 10.What is the mean of 12, 20, 19 and 5? (a) 16 (b) 14 (c) 15 (d) 13
  11. 11.What is the mean of 3, 9, 5, 15, 17 and 11? (a) 11 (b) 10 (c) 12 (d) 9
  12. 12.What is the mean of 19, 16, 6, 3, 10 and 18? (a) 14 (b) 11 (c) 12 (d) 13
  13. 13.What is the mean of 5, 4, 5 and 6? (a) 6 (b) 5 (c) 7 (d) 4
  14. 14.What is the mean of 7, 12, 3, 16, 10 and 24? (a) 13 (b) 12 (c) 11 (d) 14
  15. 15.What is the mean of 6, 7, 14, 17 and 11? (a) 12 (b) 11 (c) 13 (d) 10
  16. 16.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 35 (b) 38 (c) 33 (d) 34
  17. 17.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 39
  18. 18.What is the median of 27, 5, 8, 18, 16, 35 and 29? (a) 19 (b) 16 (c) 27 (d) 18
  19. 19.What is the mean of 12, 11, 3 and 18? (a) 10 (b) 13 (c) 12 (d) 11
  20. 20.What is the median of 16, 5, 9, 6, 11, 31 and 36? (a) 16 (b) 9 (c) 6 (d) 11
  21. 21.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 15 (c) 12 (d) 16
  22. 22.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 13
  23. 23.What is the mode of 20, 16, 3, 20, 20, 2 and 16? (a) 2 (b) 20 (c) 16 (d) 3
  24. 24.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 21 (b) 20 (c) 14 (d) 23
  25. 25.What is the mean of 14, 16, 16, 20, 15 and 21? (a) 19 (b) 18 (c) 17 (d) 16
  26. 26.What is the mean of 4, 7, 5 and 12? (a) 8 (b) 7 (c) 6 (d) 9
  27. 27.What is the mean of 18, 18, 18, 7 and 9? (a) 16 (b) 14 (c) 13 (d) 15
  28. 28.What is the mode of 13, 12, 14, 8, 8, 8 and 12? (a) 13 (b) 14 (c) 12 (d) 8
  29. 29.What is the mode of 19, 20, 19, 6, 3, 3 and 19? (a) 6 (b) 19 (c) 20 (d) 3
  30. 30.What is the mean of 5, 19, 9 and 7? (a) 10 (b) 8 (c) 11 (d) 9
  31. 31.What is the median of 14, 27, 17, 18, 21, 3 and 33? (a) 17 (b) 21 (c) 19 (d) 18
  32. 32.The mean of 6 numbers is 39. When the number 46 is added to them, what is the new mean? (a) 40 (b) 39 (c) 41 (d) 42
  33. 33.What is the median of 22, 39, 28, 30, 8, 20 and 9? (a) 30 (b) 20 (c) 28 (d) 22
  34. 34.What is the mode of 9, 2, 8, 8, 8, 15 and 15? (a) 9 (b) 8 (c) 15 (d) 2
  35. 35.What is the mean of 20, 15, 8, 20, 16 and 11? (a) 16 (b) 18 (c) 15 (d) 14
  36. 36.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 25
  37. 37.What is the mean of 16, 8, 17, 16, 2 and 7? (a) 13 (b) 11 (c) 12 (d) 10
  38. 38.What is the median of 22, 6, 8, 40 and 26? (a) 26 (b) 23 (c) 8 (d) 22
  39. 39.What is the median of 7, 2, 11, 25, 33, 34 and 32? (a) 32 (b) 26 (c) 11 (d) 25
  40. 40.The mean of 8 numbers is 35. When the number 44 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 37

Answer key

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

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