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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 694 · 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 37. When the number 61 is added to them, what is the new mean? (a) 41 (b) 37 (c) 42 (d) 49
  2. 2.What is the median of 12, 38, 1, 4 and 34? (a) 12 (b) 4 (c) 1 (d) 34
  3. 3.What is the mode of 17, 5, 17, 13, 1, 17 and 1? (a) 17 (b) 13 (c) 5 (d) 1
  4. 4.What is the median of 25, 11, 4, 33, 26, 12 and 39? (a) 26 (b) 12 (c) 33 (d) 25
  5. 5.What is the median of 1, 37, 12, 30, 33, 5 and 7? (a) 12 (b) 30 (c) 13 (d) 7
  6. 6.What is the mean of 7, 6, 4, 11, 6 and 14? (a) 8 (b) 9 (c) 10 (d) 7
  7. 7.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 29 (b) 37 (c) 34 (d) 33
  8. 8.What is the mode of 3, 3, 20, 20, 12, 3 and 2? (a) 20 (b) 12 (c) 3 (d) 2
  9. 9.What is the mean of 3, 17, 3, 3, 4 and 18? (a) 9 (b) 7 (c) 10 (d) 8
  10. 10.The mean of 8 numbers is 24. When the number 51 is added to them, what is the new mean? (a) 27 (b) 26 (c) 24 (d) 28
  11. 11.What is the mean of 14, 14, 7, 13 and 17? (a) 13 (b) 12 (c) 15 (d) 14
  12. 12.What is the median of 21, 22, 10, 27 and 23? (a) 23 (b) 10 (c) 21 (d) 22
  13. 13.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  14. 14.What is the median of 22, 15, 16, 38 and 40? (a) 38 (b) 16 (c) 23 (d) 22
  15. 15.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 12 (b) 14 (c) 8 (d) 11
  16. 16.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 25
  17. 17.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 13
  18. 18.What is the median of 24, 4, 7, 15, 21, 16 and 32? (a) 16 (b) 17 (c) 21 (d) 15
  19. 19.What is the mean of 10, 14, 13, 19 and 4? (a) 15 (b) 13 (c) 10 (d) 12
  20. 20.What is the mean of 19, 20, 11 and 10? (a) 12 (b) 15 (c) 16 (d) 20
  21. 21.What is the mean of 14, 13, 14 and 19? (a) 15 (b) 16 (c) 12 (d) 20
  22. 22.What is the mean of 7, 3, 10 and 16? (a) 8 (b) 10 (c) 9 (d) 12
  23. 23.What is the median of 4, 2, 39, 3, 35, 7 and 12? (a) 7 (b) 3 (c) 12 (d) 4
  24. 24.What is the median of 38, 13, 29, 7, 27, 17 and 11? (a) 27 (b) 7 (c) 13 (d) 17
  25. 25.What is the mode of 13, 19, 12, 12, 12, 13 and 4? (a) 4 (b) 19 (c) 13 (d) 12
  26. 26.What is the mean of 6, 2, 11 and 21? (a) 11 (b) 9 (c) 10 (d) 8
  27. 27.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 15 (b) 13 (c) 21 (d) 16
  28. 28.What is the mean of 10, 10, 8, 13, 7 and 24? (a) 14 (b) 13 (c) 12 (d) 11
  29. 29.What is the mode of 1, 1, 8, 8, 1, 16 and 3? (a) 3 (b) 16 (c) 1 (d) 8
  30. 30.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 26 (b) 34 (c) 24 (d) 27
  31. 31.What is the median of 20, 27, 19, 36 and 14? (a) 19 (b) 27 (c) 21 (d) 20
  32. 32.What is the mode of 13, 13, 16, 16, 13, 6 and 1? (a) 6 (b) 13 (c) 1 (d) 16
  33. 33.What is the mode of 5, 5, 2, 18, 5, 18 and 9? (a) 18 (b) 9 (c) 2 (d) 5
  34. 34.What is the mean of 3, 11, 9 and 17? (a) 8 (b) 11 (c) 9 (d) 10
  35. 35.What is the mean of 9, 17, 2, 16, 5 and 11? (a) 10 (b) 9 (c) 11 (d) 12
  36. 36.The mean of 4 numbers is 37. When the number 22 is added to them, what is the new mean? (a) 33 (b) 37 (c) 35 (d) 34
  37. 37.What is the mean of 10, 9, 4, 2 and 20? (a) 9 (b) 10 (c) 8 (d) 11
  38. 38.What is the mean of 14, 8, 3, 20, 11 and 10? (a) 11 (b) 12 (c) 10 (d) 13
  39. 39.What is the mode of 9, 9, 8, 10, 9, 10 and 15? (a) 8 (b) 15 (c) 10 (d) 9
  40. 40.What is the mean of 3, 5, 12 and 4? (a) 8 (b) 7 (c) 5 (d) 6

Answer key

  1. 41
  2. 12
  3. 17
  4. 25
  5. 12
  6. 8
  7. 33
  8. 3
  9. 8
  10. 27
  11. 13
  12. 22
  13. 33
  14. 22
  15. 11
  16. 24
  17. 20
  18. 16
  19. 12
  20. 15
  21. 15
  22. 9
  23. 7
  24. 17
  25. 12
  26. 10
  27. 15
  28. 12
  29. 1
  30. 26
  31. 20
  32. 13
  33. 5
  34. 10
  35. 10
  36. 34
  37. 9
  38. 11
  39. 9
  40. 6

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