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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 853 · 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 10, 12, 8, 17, 11 and 8? (a) 10 (b) 12 (c) 13 (d) 11
  2. 2.What is the mean of 6, 13, 12, 7, 18 and 10? (a) 13 (b) 11 (c) 10 (d) 12
  3. 3.What is the median of 9, 4, 32, 20 and 35? (a) 21 (b) 9 (c) 20 (d) 32
  4. 4.The mean of 4 numbers is 39. When the number 24 is added to them, what is the new mean? (a) 36 (b) 37 (c) 39 (d) 35
  5. 5.What is the median of 15, 13, 17, 11 and 40? (a) 16 (b) 15 (c) 17 (d) 13
  6. 6.What is the median of 8, 26, 25, 2, 12, 15 and 6? (a) 12 (b) 15 (c) 8 (d) 2
  7. 7.What is the mean of 16, 6, 19 and 7? (a) 11 (b) 13 (c) 16 (d) 12
  8. 8.What is the mean of 14, 19, 18 and 13? (a) 15 (b) 16 (c) 17 (d) 18
  9. 9.The mean of 8 numbers is 37. When the number 19 is added to them, what is the new mean? (a) 35 (b) 36 (c) 37 (d) 28
  10. 10.What is the median of 3, 40, 22, 8 and 38? (a) 8 (b) 38 (c) 23 (d) 22
  11. 11.The mean of 6 numbers is 27. When the number 13 is added to them, what is the new mean? (a) 20 (b) 25 (c) 27 (d) 26
  12. 12.What is the mean of 7, 20, 4 and 5? (a) 12 (b) 8 (c) 9 (d) 10
  13. 13.What is the median of 26, 28, 3, 8 and 30? (a) 3 (b) 26 (c) 19 (d) 28
  14. 14.What is the mode of 3, 10, 11, 10, 8, 11 and 11? (a) 10 (b) 8 (c) 3 (d) 11
  15. 15.What is the mode of 3, 7, 18, 13, 18, 7 and 18? (a) 7 (b) 13 (c) 3 (d) 18
  16. 16.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 31 (b) 35 (c) 36 (d) 39
  17. 17.What is the mode of 16, 17, 14, 13, 14, 14 and 16? (a) 13 (b) 17 (c) 16 (d) 14
  18. 18.What is the mean of 9, 16, 17, 11, 13 and 6? (a) 12 (b) 11 (c) 14 (d) 13
  19. 19.What is the median of 29, 17, 4, 27, 38, 39 and 35? (a) 27 (b) 29 (c) 35 (d) 30
  20. 20.What is the mode of 6, 10, 17, 10, 6, 6 and 15? (a) 17 (b) 15 (c) 6 (d) 10
  21. 21.What is the median of 22, 8, 16, 28 and 3? (a) 22 (b) 16 (c) 8 (d) 17
  22. 22.What is the mean of 20, 18, 2, 7 and 23? (a) 16 (b) 14 (c) 13 (d) 15
  23. 23.The mean of 5 numbers is 14. When the number 20 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 17
  24. 24.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 18 (b) 22 (c) 26 (d) 23
  25. 25.What is the mean of 9, 5, 12 and 2? (a) 9 (b) 6 (c) 7 (d) 8
  26. 26.What is the mean of 7, 7, 12, 4, 2 and 16? (a) 8 (b) 9 (c) 10 (d) 7
  27. 27.What is the mode of 6, 8, 6, 16, 5, 6 and 5? (a) 6 (b) 16 (c) 5 (d) 8
  28. 28.The mean of 8 numbers is 40. When the number 58 is added to them, what is the new mean? (a) 43 (b) 42 (c) 49 (d) 40
  29. 29.What is the mode of 7, 3, 14, 14, 14, 11 and 7? (a) 11 (b) 3 (c) 7 (d) 14
  30. 30.What is the median of 27, 28, 2, 30, 12, 5 and 15? (a) 15 (b) 27 (c) 30 (d) 17
  31. 31.What is the median of 23, 7, 25, 19, 6, 32 and 29? (a) 23 (b) 19 (c) 24 (d) 25
  32. 32.What is the mean of 8, 9, 8 and 11? (a) 9 (b) 8 (c) 10 (d) 12
  33. 33.What is the median of 37, 9, 25, 29 and 33? (a) 25 (b) 30 (c) 29 (d) 33
  34. 34.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 20 (b) 17 (c) 15 (d) 18
  35. 35.What is the median of 6, 9, 27, 22, 1, 11 and 28? (a) 12 (b) 9 (c) 11 (d) 22
  36. 36.What is the mode of 6, 7, 15, 7, 15, 7 and 19? (a) 7 (b) 19 (c) 6 (d) 15
  37. 37.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 41 (b) 42 (c) 45 (d) 37
  38. 38.What is the mode of 15, 1, 5, 1, 1, 11 and 15? (a) 15 (b) 11 (c) 5 (d) 1
  39. 39.What is the mode of 1, 3, 1, 10, 3, 7 and 3? (a) 3 (b) 7 (c) 10 (d) 1
  40. 40.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 39 (b) 49 (c) 43 (d) 44

Answer key

  1. 11
  2. 11
  3. 20
  4. 36
  5. 15
  6. 12
  7. 12
  8. 16
  9. 35
  10. 22
  11. 25
  12. 9
  13. 26
  14. 11
  15. 18
  16. 35
  17. 14
  18. 12
  19. 29
  20. 6
  21. 16
  22. 14
  23. 15
  24. 22
  25. 7
  26. 8
  27. 6
  28. 42
  29. 14
  30. 15
  31. 23
  32. 9
  33. 29
  34. 17
  35. 11
  36. 7
  37. 41
  38. 1
  39. 3
  40. 43

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