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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 7 · 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, 4, 26, 18 and 16? (a) 26 (b) 16 (c) 18 (d) 13
  2. 2.What is the mean of 17, 8, 3, 19 and 8? (a) 10 (b) 12 (c) 13 (d) 11
  3. 3.What is the median of 16, 31, 39, 12 and 36? (a) 16 (b) 39 (c) 36 (d) 31
  4. 4.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 13 (c) 9 (d) 12
  5. 5.The mean of 3 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 11 (b) 12 (c) 10 (d) 8
  6. 6.What is the median of 26, 16, 40, 1, 18, 3 and 14? (a) 16 (b) 14 (c) 1 (d) 18
  7. 7.What is the mode of 7, 3, 20, 20, 2, 3 and 20? (a) 2 (b) 7 (c) 3 (d) 20
  8. 8.What is the median of 31, 21, 24, 37 and 15? (a) 25 (b) 21 (c) 24 (d) 31
  9. 9.What is the mean of 16, 15, 16 and 17? (a) 15 (b) 16 (c) 18 (d) 17
  10. 10.What is the mode of 13, 13, 1, 10, 1, 9 and 13? (a) 9 (b) 1 (c) 13 (d) 10
  11. 11.What is the median of 24, 21, 18, 39 and 2? (a) 18 (b) 24 (c) 21 (d) 22
  12. 12.What is the mode of 20, 15, 18, 15, 2, 18 and 18? (a) 2 (b) 15 (c) 20 (d) 18
  13. 13.What is the mean of 5, 13, 12, 20 and 10? (a) 10 (b) 13 (c) 15 (d) 12
  14. 14.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 28
  15. 15.What is the median of 37, 19, 7, 40 and 34? (a) 37 (b) 19 (c) 7 (d) 34
  16. 16.What is the mode of 7, 7, 7, 8, 14, 11 and 14? (a) 11 (b) 8 (c) 7 (d) 14
  17. 17.What is the mode of 7, 16, 7, 17, 16, 12 and 7? (a) 16 (b) 12 (c) 7 (d) 17
  18. 18.What is the median of 3, 19, 27, 14, 2, 6 and 7? (a) 8 (b) 14 (c) 6 (d) 7
  19. 19.What is the median of 21, 10, 14, 32 and 8? (a) 10 (b) 21 (c) 14 (d) 17
  20. 20.The mean of 7 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 17 (b) 19 (c) 11 (d) 18
  21. 21.What is the median of 33, 19, 3, 26, 16, 25 and 6? (a) 19 (b) 16 (c) 25 (d) 26
  22. 22.What is the mean of 2, 4, 2, 12, 13 and 3? (a) 6 (b) 5 (c) 7 (d) 8
  23. 23.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 27
  24. 24.What is the mean of 14, 7, 17, 11 and 11? (a) 13 (b) 12 (c) 10 (d) 15
  25. 25.What is the mean of 19, 10, 2, 14, 14 and 7? (a) 12 (b) 10 (c) 13 (d) 11
  26. 26.What is the median of 16, 7, 8, 39, 13, 6 and 22? (a) 16 (b) 39 (c) 13 (d) 8
  27. 27.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 36
  28. 28.The mean of 3 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 14 (b) 18 (c) 17 (d) 16
  29. 29.What is the mean of 5, 20, 20, 10 and 15? (a) 15 (b) 13 (c) 14 (d) 16
  30. 30.What is the median of 20, 36, 8, 21, 18, 13 and 1? (a) 18 (b) 21 (c) 20 (d) 13
  31. 31.The mean of 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 27 (b) 32 (c) 37 (d) 31
  32. 32.What is the mean of 16, 17, 2, 7 and 8? (a) 9 (b) 11 (c) 12 (d) 10
  33. 33.What is the median of 13, 14, 11, 22, 36, 17 and 12? (a) 22 (b) 17 (c) 13 (d) 14
  34. 34.The mean of 9 numbers is 29. When the number 59 is added to them, what is the new mean? (a) 44 (b) 33 (c) 32 (d) 29
  35. 35.What is the mean of 18, 13, 15 and 14? (a) 15 (b) 12 (c) 20 (d) 16
  36. 36.The mean of 7 numbers is 37. When the number 5 is added to them, what is the new mean? (a) 34 (b) 37 (c) 21 (d) 33
  37. 37.What is the median of 27, 17, 33, 5, 6, 2 and 22? (a) 22 (b) 5 (c) 16 (d) 17
  38. 38.What is the mean of 2, 2, 8 and 20? (a) 7 (b) 8 (c) 10 (d) 9
  39. 39.What is the mean of 2, 2, 2, 5 and 14? (a) 7 (b) 5 (c) 4 (d) 6
  40. 40.What is the median of 11, 30, 34, 2 and 24? (a) 34 (b) 11 (c) 30 (d) 24

Answer key

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

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