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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 761 · 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 11, 7, 39, 4 and 1? (a) 7 (b) 11 (c) 4 (d) 39
  2. 2.What is the mean of 10, 9, 13 and 12? (a) 11 (b) 10 (c) 12 (d) 13
  3. 3.What is the mean of 3, 8, 2 and 7? (a) 6 (b) 5 (c) 7 (d) 4
  4. 4.What is the mode of 15, 9, 9, 2, 15, 18 and 9? (a) 15 (b) 18 (c) 9 (d) 2
  5. 5.What is the mode of 5, 5, 10, 17, 10, 1 and 10? (a) 10 (b) 1 (c) 5 (d) 17
  6. 6.What is the median of 7, 10, 39, 38 and 17? (a) 10 (b) 38 (c) 39 (d) 17
  7. 7.What is the median of 36, 16, 2, 3 and 33? (a) 2 (b) 16 (c) 33 (d) 18
  8. 8.What is the mode of 11, 18, 6, 5, 11, 11 and 5? (a) 5 (b) 6 (c) 18 (d) 11
  9. 9.What is the median of 28, 27, 38, 4, 5, 39 and 32? (a) 4 (b) 32 (c) 28 (d) 27
  10. 10.The mean of 7 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 23
  11. 11.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 42 (b) 41 (c) 39 (d) 43
  12. 12.The mean of 4 numbers is 39. When the number 44 is added to them, what is the new mean? (a) 41 (b) 40 (c) 39 (d) 42
  13. 13.The mean of 6 numbers is 29. When the number 1 is added to them, what is the new mean? (a) 15 (b) 25 (c) 26 (d) 29
  14. 14.What is the mode of 19, 3, 19, 3, 1, 19 and 20? (a) 20 (b) 1 (c) 3 (d) 19
  15. 15.What is the median of 20, 33, 7, 22, 5, 18 and 8? (a) 8 (b) 20 (c) 22 (d) 18
  16. 16.What is the mode of 14, 6, 6, 1, 8, 14 and 14? (a) 6 (b) 1 (c) 8 (d) 14
  17. 17.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 14 (b) 17 (c) 15 (d) 16
  18. 18.What is the mean of 20, 8, 2, 17, 3 and 22? (a) 14 (b) 13 (c) 12 (d) 11
  19. 19.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 16
  20. 20.What is the median of 19, 39, 8, 5 and 28? (a) 28 (b) 20 (c) 8 (d) 19
  21. 21.The mean of 3 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 24 (b) 32 (c) 29 (d) 28
  22. 22.What is the mode of 4, 4, 7, 7, 13, 17 and 7? (a) 13 (b) 17 (c) 7 (d) 4
  23. 23.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 20 (b) 35 (c) 33 (d) 32
  24. 24.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 33 (b) 30 (c) 32 (d) 31
  25. 25.What is the mean of 3, 14, 11 and 12? (a) 9 (b) 8 (c) 11 (d) 10
  26. 26.What is the median of 34, 18, 1, 40, 13, 7 and 24? (a) 18 (b) 24 (c) 40 (d) 13
  27. 27.What is the mode of 7, 5, 7, 5, 16, 7 and 8? (a) 8 (b) 7 (c) 16 (d) 5
  28. 28.What is the mode of 16, 16, 16, 8, 14, 2 and 14? (a) 8 (b) 14 (c) 16 (d) 2
  29. 29.What is the mode of 5, 11, 19, 15, 5, 11 and 11? (a) 15 (b) 5 (c) 19 (d) 11
  30. 30.What is the median of 18, 25, 13, 32 and 23? (a) 13 (b) 18 (c) 23 (d) 25
  31. 31.What is the mode of 2, 1, 3, 3, 15, 1 and 1? (a) 15 (b) 3 (c) 2 (d) 1
  32. 32.What is the mode of 10, 8, 6, 11, 8, 8 and 10? (a) 11 (b) 8 (c) 10 (d) 6
  33. 33.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 24 (b) 28 (c) 26 (d) 27
  34. 34.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 30
  35. 35.What is the median of 12, 4, 3, 8, 22, 35 and 40? (a) 13 (b) 12 (c) 8 (d) 22
  36. 36.The mean of 8 numbers is 37. When the number 1 is added to them, what is the new mean? (a) 19 (b) 37 (c) 34 (d) 33
  37. 37.What is the mean of 4, 14, 14, 12 and 21? (a) 15 (b) 12 (c) 13 (d) 14
  38. 38.What is the mode of 10, 16, 14, 13, 14, 14 and 10? (a) 13 (b) 10 (c) 14 (d) 16
  39. 39.What is the mode of 17, 17, 12, 12, 1, 14 and 17? (a) 1 (b) 14 (c) 17 (d) 12
  40. 40.The mean of 6 numbers is 29. When the number 8 is added to them, what is the new mean? (a) 26 (b) 29 (c) 25 (d) 27

Answer key

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

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