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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 93 · 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 17, 15, 15 and 9? (a) 16 (b) 13 (c) 15 (d) 14
  2. 2.What is the mean of 14, 5, 9, 11 and 11? (a) 11 (b) 12 (c) 10 (d) 9
  3. 3.What is the mean of 3, 10, 5 and 14? (a) 10 (b) 7 (c) 9 (d) 8
  4. 4.What is the mean of 9, 4, 20, 10 and 12? (a) 12 (b) 10 (c) 11 (d) 13
  5. 5.What is the mean of 6, 19, 20 and 11? (a) 13 (b) 16 (c) 14 (d) 15
  6. 6.What is the mean of 6, 9, 9 and 12? (a) 10 (b) 9 (c) 12 (d) 8
  7. 7.The mean of 6 numbers is 14. When the number 21 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 15
  8. 8.What is the mode of 3, 15, 13, 15, 4, 4 and 15? (a) 3 (b) 15 (c) 4 (d) 13
  9. 9.What is the mode of 3, 14, 7, 12, 14, 14 and 12? (a) 14 (b) 3 (c) 7 (d) 12
  10. 10.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 33 (c) 37 (d) 38
  11. 11.The mean of 4 numbers is 31. When the number 36 is added to them, what is the new mean? (a) 34 (b) 32 (c) 31 (d) 33
  12. 12.What is the mean of 4, 9, 16 and 3? (a) 7 (b) 8 (c) 9 (d) 10
  13. 13.What is the median of 1, 26, 29, 30 and 18? (a) 18 (b) 29 (c) 26 (d) 27
  14. 14.What is the mode of 12, 12, 18, 3, 10, 10 and 10? (a) 3 (b) 18 (c) 12 (d) 10
  15. 15.What is the mean of 10, 9, 10 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  16. 16.The mean of 9 numbers is 13. When the number 43 is added to them, what is the new mean? (a) 17 (b) 28 (c) 16 (d) 13
  17. 17.The mean of 4 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 40 (b) 30 (c) 36 (d) 37
  18. 18.What is the median of 22, 24, 7, 29 and 33? (a) 24 (b) 29 (c) 7 (d) 23
  19. 19.What is the mean of 10, 12, 15 and 15? (a) 15 (b) 14 (c) 12 (d) 13
  20. 20.What is the median of 20, 12, 36, 29, 24, 15 and 4? (a) 15 (b) 29 (c) 20 (d) 24
  21. 21.The mean of 7 numbers is 15. When the number 47 is added to them, what is the new mean? (a) 15 (b) 31 (c) 19 (d) 20
  22. 22.What is the mode of 5, 7, 15, 15, 15, 2 and 5? (a) 15 (b) 5 (c) 2 (d) 7
  23. 23.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 28 (b) 32 (c) 44 (d) 33
  24. 24.The mean of 7 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 12 (b) 16 (c) 15 (d) 24
  25. 25.What is the mean of 7, 16, 19, 20 and 13? (a) 15 (b) 17 (c) 16 (d) 14
  26. 26.What is the mean of 14, 13, 3 and 6? (a) 8 (b) 9 (c) 12 (d) 10
  27. 27.What is the mean of 10, 20, 3 and 15? (a) 12 (b) 16 (c) 11 (d) 13
  28. 28.What is the mean of 8, 8, 7, 14, 17 and 18? (a) 11 (b) 13 (c) 14 (d) 12
  29. 29.What is the median of 22, 2, 3, 40, 9, 12 and 10? (a) 40 (b) 10 (c) 14 (d) 12
  30. 30.What is the mode of 1, 12, 5, 13, 5, 5 and 1? (a) 1 (b) 5 (c) 12 (d) 13
  31. 31.What is the mean of 17, 3, 19 and 21? (a) 12 (b) 20 (c) 16 (d) 15
  32. 32.What is the mode of 4, 5, 5, 19, 19, 1 and 19? (a) 4 (b) 19 (c) 5 (d) 1
  33. 33.The mean of 4 numbers is 13. When the number 28 is added to them, what is the new mean? (a) 13 (b) 17 (c) 15 (d) 16
  34. 34.What is the median of 31, 14, 17, 27, 28, 16 and 33? (a) 27 (b) 26 (c) 28 (d) 17
  35. 35.What is the mean of 13, 19, 15, 4 and 14? (a) 13 (b) 14 (c) 15 (d) 12
  36. 36.What is the median of 29, 12, 34, 36 and 39? (a) 30 (b) 36 (c) 29 (d) 34
  37. 37.What is the mean of 2, 17, 14 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  38. 38.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 14
  39. 39.What is the mean of 11, 2, 18, 16, 19 and 6? (a) 12 (b) 11 (c) 13 (d) 14
  40. 40.The mean of 4 numbers is 24. When the number 29 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 27

Answer key

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

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