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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 178 · 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 13, 16, 31, 14 and 22? (a) 31 (b) 22 (c) 16 (d) 14
  2. 2.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 21 (b) 15 (c) 20 (d) 22
  3. 3.What is the median of 20, 13, 32, 24 and 5? (a) 32 (b) 13 (c) 24 (d) 20
  4. 4.What is the mode of 12, 8, 15, 12, 12, 18 and 15? (a) 8 (b) 15 (c) 12 (d) 18
  5. 5.What is the mean of 20, 13, 15, 15 and 7? (a) 15 (b) 16 (c) 14 (d) 13
  6. 6.What is the median of 27, 36, 14, 35, 5, 4 and 3? (a) 35 (b) 5 (c) 14 (d) 27
  7. 7.What is the mean of 13, 7, 8 and 20? (a) 13 (b) 11 (c) 12 (d) 16
  8. 8.What is the mode of 5, 10, 5, 1, 1, 14 and 1? (a) 1 (b) 14 (c) 5 (d) 10
  9. 9.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 36 (b) 45 (c) 37 (d) 33
  10. 10.What is the mean of 13, 20, 12 and 19? (a) 15 (b) 16 (c) 18 (d) 17
  11. 11.What is the mean of 14, 20, 5 and 9? (a) 16 (b) 13 (c) 11 (d) 12
  12. 12.What is the median of 23, 1, 31, 24, 3, 6 and 4? (a) 6 (b) 4 (c) 24 (d) 23
  13. 13.What is the mean of 8, 8, 18, 7, 3 and 10? (a) 10 (b) 9 (c) 8 (d) 11
  14. 14.What is the mean of 10, 16, 10, 19, 17 and 24? (a) 15 (b) 17 (c) 16 (d) 18
  15. 15.What is the mode of 11, 1, 1, 6, 11, 1 and 2? (a) 2 (b) 6 (c) 1 (d) 11
  16. 16.The mean of 4 numbers is 29. When the number 24 is added to them, what is the new mean? (a) 27 (b) 30 (c) 29 (d) 28
  17. 17.What is the mean of 19, 15, 9, 20 and 22? (a) 17 (b) 19 (c) 18 (d) 16
  18. 18.What is the mean of 8, 19, 11 and 6? (a) 11 (b) 12 (c) 13 (d) 10
  19. 19.The mean of 7 numbers is 32. When the number 64 is added to them, what is the new mean? (a) 32 (b) 48 (c) 37 (d) 36
  20. 20.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 21 (b) 24 (c) 23 (d) 25
  21. 21.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 28 (b) 20 (c) 29 (d) 27
  22. 22.What is the median of 2, 35, 40, 22 and 27? (a) 35 (b) 40 (c) 22 (d) 27
  23. 23.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 24 (b) 18 (c) 22 (d) 21
  24. 24.What is the median of 37, 13, 35, 23, 34, 12 and 7? (a) 13 (b) 23 (c) 24 (d) 34
  25. 25.What is the mean of 18, 8, 11, 10 and 18? (a) 15 (b) 14 (c) 12 (d) 13
  26. 26.What is the mean of 11, 2, 2, 19, 6 and 8? (a) 9 (b) 8 (c) 10 (d) 7
  27. 27.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 43 (b) 41 (c) 42 (d) 40
  28. 28.What is the mode of 15, 18, 9, 18, 15, 17 and 15? (a) 9 (b) 15 (c) 17 (d) 18
  29. 29.What is the mode of 14, 14, 9, 6, 9, 2 and 9? (a) 6 (b) 14 (c) 9 (d) 2
  30. 30.The mean of 4 numbers is 38. When the number 58 is added to them, what is the new mean? (a) 38 (b) 48 (c) 42 (d) 43
  31. 31.What is the mean of 19, 5, 2 and 2? (a) 8 (b) 6 (c) 7 (d) 9
  32. 32.The mean of 5 numbers is 32. When the number 56 is added to them, what is the new mean? (a) 37 (b) 32 (c) 44 (d) 36
  33. 33.The mean of 5 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 32 (b) 25 (c) 34 (d) 31
  34. 34.What is the mode of 17, 15, 10, 18, 15, 10 and 10? (a) 15 (b) 17 (c) 10 (d) 18
  35. 35.What is the mean of 15, 3, 6 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  36. 36.What is the median of 38, 37, 34, 24, 27, 17 and 2? (a) 24 (b) 34 (c) 28 (d) 27
  37. 37.What is the mean of 17, 2, 7, 18, 5 and 11? (a) 9 (b) 11 (c) 10 (d) 12
  38. 38.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 24 (b) 21 (c) 18 (d) 20
  39. 39.What is the mean of 4, 8, 20, 20 and 13? (a) 13 (b) 14 (c) 12 (d) 15
  40. 40.What is the mean of 19, 13, 5, 12 and 16? (a) 14 (b) 12 (c) 15 (d) 13

Answer key

  1. 16
  2. 20
  3. 20
  4. 12
  5. 14
  6. 14
  7. 12
  8. 1
  9. 36
  10. 16
  11. 12
  12. 6
  13. 9
  14. 16
  15. 1
  16. 28
  17. 17
  18. 11
  19. 36
  20. 23
  21. 27
  22. 27
  23. 21
  24. 23
  25. 13
  26. 8
  27. 41
  28. 15
  29. 9
  30. 42
  31. 7
  32. 36
  33. 31
  34. 10
  35. 8
  36. 27
  37. 10
  38. 20
  39. 13
  40. 13

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