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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 865 · 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 mean of 11, 13, 4, 8 and 14? (a) 12 (b) 11 (c) 10 (d) 9
  2. 2.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 37
  3. 3.What is the mode of 13, 13, 20, 2, 20, 14 and 13? (a) 13 (b) 2 (c) 14 (d) 20
  4. 4.The mean of 7 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 23 (b) 24 (c) 26 (d) 14
  5. 5.What is the mean of 8, 18, 3, 11 and 20? (a) 15 (b) 13 (c) 12 (d) 10
  6. 6.What is the mean of 13, 7, 2, 5, 5 and 10? (a) 6 (b) 8 (c) 9 (d) 7
  7. 7.What is the mean of 15, 11, 7, 20 and 7? (a) 13 (b) 10 (c) 12 (d) 15
  8. 8.What is the median of 37, 10, 7, 38, 15, 25 and 20? (a) 25 (b) 20 (c) 15 (d) 38
  9. 9.What is the median of 31, 3, 22, 9, 12, 34 and 18? (a) 18 (b) 22 (c) 12 (d) 9
  10. 10.What is the median of 1, 12, 34, 7, 24, 30 and 33? (a) 24 (b) 12 (c) 7 (d) 30
  11. 11.What is the mean of 11, 6, 10 and 13? (a) 8 (b) 11 (c) 9 (d) 10
  12. 12.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 41 (b) 40 (c) 47 (d) 38
  13. 13.The mean of 6 numbers is 31. When the number 10 is added to them, what is the new mean? (a) 27 (b) 29 (c) 31 (d) 28
  14. 14.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 45 (b) 42 (c) 41 (d) 37
  15. 15.What is the mean of 4, 5, 18, 16, 7 and 22? (a) 14 (b) 13 (c) 11 (d) 12
  16. 16.What is the mean of 7, 14, 20, 4 and 15? (a) 10 (b) 12 (c) 13 (d) 15
  17. 17.What is the mode of 4, 16, 16, 15, 5, 16 and 5? (a) 4 (b) 5 (c) 15 (d) 16
  18. 18.What is the mode of 18, 18, 8, 18, 16, 8 and 2? (a) 16 (b) 2 (c) 18 (d) 8
  19. 19.What is the median of 3, 11, 19, 22 and 34? (a) 11 (b) 22 (c) 20 (d) 19
  20. 20.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 19 (b) 20 (c) 23 (d) 21
  21. 21.What is the median of 31, 34, 24, 36 and 37? (a) 31 (b) 34 (c) 36 (d) 24
  22. 22.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 37
  23. 23.What is the mean of 4, 16, 18, 6, 11 and 11? (a) 11 (b) 13 (c) 12 (d) 10
  24. 24.What is the mean of 14, 7, 15, 13, 17 and 6? (a) 14 (b) 11 (c) 13 (d) 12
  25. 25.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 32 (b) 35 (c) 36 (d) 41
  26. 26.What is the median of 4, 3, 28, 1, 36, 34 and 2? (a) 28 (b) 4 (c) 3 (d) 1
  27. 27.The mean of 4 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 33 (b) 31 (c) 28 (d) 32
  28. 28.What is the mode of 18, 4, 4, 18, 4, 6 and 2? (a) 2 (b) 18 (c) 4 (d) 6
  29. 29.What is the mode of 20, 8, 20, 13, 10, 20 and 10? (a) 20 (b) 10 (c) 8 (d) 13
  30. 30.What is the mean of 16, 4, 14, 12 and 9? (a) 11 (b) 12 (c) 13 (d) 10
  31. 31.What is the mean of 18, 17, 7 and 14? (a) 14 (b) 15 (c) 13 (d) 16
  32. 32.The mean of 7 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 31 (b) 33 (c) 39 (d) 34
  33. 33.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 38 (b) 40 (c) 35 (d) 39
  34. 34.What is the median of 27, 2, 14, 3, 6, 8 and 10? (a) 10 (b) 8 (c) 6 (d) 3
  35. 35.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 26 (b) 22 (c) 25 (d) 27
  36. 36.What is the mean of 4, 11, 2, 20 and 13? (a) 9 (b) 10 (c) 12 (d) 11
  37. 37.What is the median of 40, 5, 32, 18, 1, 20 and 11? (a) 19 (b) 20 (c) 18 (d) 11
  38. 38.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 26 (b) 25 (c) 21 (d) 33
  39. 39.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 15
  40. 40.The mean of 9 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 49

Answer key

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

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