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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 248 · 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 15, 16, 17 and 12? (a) 20 (b) 12 (c) 15 (d) 16
  2. 2.What is the median of 32, 5, 28, 10, 14, 11 and 23? (a) 10 (b) 14 (c) 23 (d) 11
  3. 3.What is the median of 25, 23, 32, 20, 29, 3 and 24? (a) 20 (b) 24 (c) 25 (d) 23
  4. 4.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 30 (b) 29 (c) 26 (d) 32
  5. 5.What is the mode of 1, 13, 18, 13, 18, 5 and 13? (a) 13 (b) 1 (c) 18 (d) 5
  6. 6.What is the mean of 2, 8, 3, 3 and 24? (a) 8 (b) 7 (c) 10 (d) 9
  7. 7.What is the median of 4, 27, 1, 26 and 7? (a) 26 (b) 7 (c) 13 (d) 1
  8. 8.What is the mean of 4, 3, 6 and 7? (a) 7 (b) 6 (c) 4 (d) 5
  9. 9.The mean of 6 numbers is 17. When the number 31 is added to them, what is the new mean? (a) 19 (b) 17 (c) 24 (d) 20
  10. 10.What is the median of 26, 30, 24, 7 and 12? (a) 26 (b) 24 (c) 25 (d) 12
  11. 11.What is the mode of 20, 20, 18, 4, 14, 20 and 18? (a) 4 (b) 14 (c) 18 (d) 20
  12. 12.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 27 (b) 30 (c) 26 (d) 28
  13. 13.What is the mean of 20, 14, 15, 20, 5 and 10? (a) 12 (b) 15 (c) 13 (d) 14
  14. 14.What is the mean of 6, 15, 2, 9, 10 and 18? (a) 10 (b) 9 (c) 11 (d) 12
  15. 15.What is the mean of 16, 9, 8, 6 and 11? (a) 11 (b) 9 (c) 12 (d) 10
  16. 16.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 43 (b) 40 (c) 42 (d) 41
  17. 17.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 17 (c) 24 (d) 23
  18. 18.What is the mean of 13, 17, 13, 20, 4 and 17? (a) 13 (b) 15 (c) 12 (d) 14
  19. 19.What is the mean of 12, 12, 4, 18, 9 and 11? (a) 13 (b) 12 (c) 11 (d) 10
  20. 20.What is the mode of 1, 6, 13, 13, 13, 1 and 7? (a) 6 (b) 7 (c) 1 (d) 13
  21. 21.The mean of 7 numbers is 14. When the number 46 is added to them, what is the new mean? (a) 19 (b) 30 (c) 18 (d) 14
  22. 22.What is the median of 29, 31, 6, 27 and 26? (a) 29 (b) 27 (c) 26 (d) 6
  23. 23.What is the mean of 7, 10, 5, 18, 14 and 6? (a) 9 (b) 12 (c) 10 (d) 11
  24. 24.What is the median of 21, 40, 3, 23, 25, 11 and 8? (a) 22 (b) 21 (c) 11 (d) 23
  25. 25.What is the median of 1, 3, 35, 38, 28, 17 and 4? (a) 28 (b) 18 (c) 38 (d) 17
  26. 26.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 28 (b) 23 (c) 27 (d) 31
  27. 27.What is the mode of 14, 14, 6, 13, 8, 8 and 8? (a) 6 (b) 13 (c) 8 (d) 14
  28. 28.What is the mean of 7, 7, 4 and 2? (a) 5 (b) 6 (c) 4 (d) 7
  29. 29.What is the median of 25, 20, 16, 32 and 29? (a) 29 (b) 16 (c) 25 (d) 20
  30. 30.What is the mean of 19, 7, 14 and 20? (a) 20 (b) 15 (c) 12 (d) 16
  31. 31.The mean of 6 numbers is 28. When the number 56 is added to them, what is the new mean? (a) 33 (b) 32 (c) 42 (d) 28
  32. 32.What is the median of 40, 27, 24, 20, 12, 36 and 26? (a) 20 (b) 27 (c) 24 (d) 26
  33. 33.What is the median of 38, 11, 7, 34, 4, 8 and 14? (a) 8 (b) 34 (c) 14 (d) 11
  34. 34.What is the median of 40, 24, 38, 25 and 30? (a) 31 (b) 25 (c) 30 (d) 38
  35. 35.What is the mean of 18, 14, 18, 12 and 23? (a) 16 (b) 18 (c) 19 (d) 17
  36. 36.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 19 (c) 16 (d) 20
  37. 37.What is the mode of 8, 6, 5, 9, 8, 8 and 5? (a) 6 (b) 5 (c) 9 (d) 8
  38. 38.What is the mode of 20, 17, 14, 14, 3, 3 and 3? (a) 3 (b) 20 (c) 17 (d) 14
  39. 39.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 21 (d) 22
  40. 40.What is the mean of 2, 9, 11 and 6? (a) 9 (b) 6 (c) 7 (d) 8

Answer key

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

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