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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 616 · 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 mode of 16, 3, 16, 10, 16, 10 and 7? (a) 3 (b) 7 (c) 10 (d) 16
  2. 2.What is the mode of 19, 3, 19, 19, 11, 11 and 8? (a) 3 (b) 8 (c) 19 (d) 11
  3. 3.What is the median of 15, 39, 17, 13 and 29? (a) 18 (b) 17 (c) 15 (d) 29
  4. 4.The mean of 3 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 29
  5. 5.What is the mode of 5, 8, 8, 10, 3, 3 and 8? (a) 8 (b) 10 (c) 5 (d) 3
  6. 6.What is the mean of 6, 3, 13 and 22? (a) 13 (b) 10 (c) 12 (d) 11
  7. 7.What is the median of 13, 27, 23, 32 and 14? (a) 14 (b) 27 (c) 24 (d) 23
  8. 8.What is the median of 30, 12, 14, 31, 20, 22 and 18? (a) 21 (b) 31 (c) 20 (d) 22
  9. 9.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 25 (b) 22 (c) 21 (d) 23
  10. 10.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14
  11. 11.What is the mode of 1, 13, 1, 13, 6, 13 and 7? (a) 6 (b) 1 (c) 7 (d) 13
  12. 12.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 28 (b) 27 (c) 23 (d) 29
  13. 13.What is the mean of 19, 5, 6 and 2? (a) 8 (b) 7 (c) 10 (d) 9
  14. 14.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 47 (b) 40 (c) 42 (d) 43
  15. 15.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 23 (b) 19 (c) 20 (d) 18
  16. 16.What is the mode of 9, 5, 6, 5, 6, 5 and 17? (a) 17 (b) 9 (c) 5 (d) 6
  17. 17.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 32
  18. 18.What is the median of 11, 5, 8, 31 and 36? (a) 11 (b) 31 (c) 8 (d) 12
  19. 19.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 42 (b) 41 (c) 44 (d) 38
  20. 20.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 15 (b) 25 (c) 16 (d) 11
  21. 21.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 32 (c) 29 (d) 30
  22. 22.What is the median of 27, 16, 13, 33, 10, 37 and 9? (a) 33 (b) 13 (c) 27 (d) 16
  23. 23.What is the median of 9, 38, 18, 39, 13, 32 and 21? (a) 32 (b) 21 (c) 39 (d) 18
  24. 24.What is the median of 3, 21, 8, 16 and 2? (a) 8 (b) 16 (c) 10 (d) 3
  25. 25.What is the median of 9, 33, 12, 35, 10, 31 and 6? (a) 12 (b) 35 (c) 31 (d) 10
  26. 26.What is the median of 29, 27, 37, 13, 28, 16 and 17? (a) 13 (b) 27 (c) 28 (d) 17
  27. 27.What is the mode of 6, 1, 1, 1, 15, 11 and 6? (a) 6 (b) 11 (c) 15 (d) 1
  28. 28.The mean of 7 numbers is 25. When the number 1 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 13
  29. 29.What is the median of 25, 14, 6, 36 and 20? (a) 14 (b) 25 (c) 6 (d) 20
  30. 30.What is the median of 31, 9, 38, 20 and 18? (a) 20 (b) 31 (c) 38 (d) 18
  31. 31.What is the median of 22, 27, 33, 1, 30, 2 and 8? (a) 27 (b) 1 (c) 8 (d) 22
  32. 32.What is the mode of 13, 11, 1, 11, 9, 9 and 11? (a) 1 (b) 13 (c) 11 (d) 9
  33. 33.The mean of 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 11
  34. 34.What is the mean of 14, 17, 7 and 6? (a) 10 (b) 12 (c) 13 (d) 11
  35. 35.What is the mode of 2, 3, 9, 2, 6, 6 and 2? (a) 6 (b) 9 (c) 3 (d) 2
  36. 36.What is the mode of 15, 8, 15, 14, 2, 2 and 2? (a) 14 (b) 8 (c) 2 (d) 15
  37. 37.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 15 (b) 14 (c) 18 (d) 16
  38. 38.What is the mode of 19, 4, 19, 10, 4, 1 and 4? (a) 19 (b) 10 (c) 1 (d) 4
  39. 39.What is the mean of 10, 2, 3, 6, 7 and 8? (a) 6 (b) 7 (c) 5 (d) 8
  40. 40.What is the mean of 8, 16, 5 and 7? (a) 12 (b) 10 (c) 8 (d) 9

Answer key

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

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