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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 226 · 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 2, 3, 11, 2 and 12? (a) 7 (b) 8 (c) 5 (d) 6
  2. 2.What is the mean of 15, 16, 8 and 13? (a) 13 (b) 14 (c) 12 (d) 15
  3. 3.What is the mode of 17, 17, 2, 14, 10, 14 and 17? (a) 14 (b) 2 (c) 10 (d) 17
  4. 4.What is the mode of 3, 4, 3, 4, 3, 1 and 2? (a) 3 (b) 1 (c) 2 (d) 4
  5. 5.The mean of 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 21 (b) 12 (c) 22 (d) 20
  6. 6.What is the median of 24, 38, 5, 7, 20, 25 and 39? (a) 24 (b) 25 (c) 20 (d) 7
  7. 7.What is the mode of 19, 20, 14, 4, 4, 4 and 14? (a) 4 (b) 14 (c) 20 (d) 19
  8. 8.What is the mode of 8, 11, 8, 9, 19, 8 and 19? (a) 9 (b) 11 (c) 19 (d) 8
  9. 9.What is the mean of 2, 5, 11 and 2? (a) 5 (b) 7 (c) 6 (d) 4
  10. 10.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  11. 11.What is the mode of 17, 13, 3, 13, 6, 17 and 13? (a) 3 (b) 17 (c) 6 (d) 13
  12. 12.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 16 (b) 19 (c) 17 (d) 18
  13. 13.What is the mode of 11, 11, 20, 20, 1, 11 and 10? (a) 1 (b) 20 (c) 10 (d) 11
  14. 14.What is the median of 24, 10, 4, 13, 25, 18 and 16? (a) 13 (b) 18 (c) 16 (d) 17
  15. 15.The mean of 6 numbers is 20. When the number 13 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 18
  16. 16.What is the mode of 5, 16, 18, 14, 14, 14 and 18? (a) 5 (b) 14 (c) 16 (d) 18
  17. 17.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 16 (b) 14 (c) 12 (d) 15
  18. 18.What is the mode of 17, 17, 19, 14, 17, 19 and 8? (a) 17 (b) 19 (c) 14 (d) 8
  19. 19.What is the mode of 19, 19, 14, 17, 19, 10 and 14? (a) 14 (b) 19 (c) 10 (d) 17
  20. 20.The mean of 3 numbers is 19. When the number 3 is added to them, what is the new mean? (a) 11 (b) 15 (c) 16 (d) 19
  21. 21.The mean of 5 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 33 (b) 21 (c) 30 (d) 29
  22. 22.What is the mode of 15, 2, 7, 6, 2, 2 and 6? (a) 7 (b) 15 (c) 2 (d) 6
  23. 23.What is the mean of 7, 8, 6 and 7? (a) 8 (b) 7 (c) 9 (d) 6
  24. 24.What is the mean of 17, 11, 2, 16, 6 and 14? (a) 13 (b) 11 (c) 10 (d) 12
  25. 25.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 34 (b) 37 (c) 27 (d) 33
  26. 26.What is the mode of 5, 4, 11, 11, 4, 11 and 6? (a) 6 (b) 4 (c) 5 (d) 11
  27. 27.The mean of 7 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 38
  28. 28.The mean of 8 numbers is 22. When the number 58 is added to them, what is the new mean? (a) 27 (b) 26 (c) 40 (d) 22
  29. 29.What is the mode of 5, 16, 8, 5, 5, 3 and 8? (a) 8 (b) 5 (c) 3 (d) 16
  30. 30.What is the median of 6, 25, 39, 13, 36, 16 and 11? (a) 17 (b) 13 (c) 16 (d) 25
  31. 31.What is the mode of 15, 2, 2, 15, 15, 20 and 1? (a) 1 (b) 2 (c) 15 (d) 20
  32. 32.The mean of 4 numbers is 10. When the number 20 is added to them, what is the new mean? (a) 13 (b) 12 (c) 15 (d) 10
  33. 33.The mean of 3 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 37 (b) 39 (c) 36 (d) 33
  34. 34.What is the median of 24, 37, 28, 4 and 2? (a) 19 (b) 4 (c) 28 (d) 24
  35. 35.What is the median of 5, 40, 7, 20, 36, 2 and 34? (a) 34 (b) 21 (c) 20 (d) 7
  36. 36.What is the mean of 10, 8, 7, 13, 16 and 12? (a) 13 (b) 11 (c) 12 (d) 10
  37. 37.The mean of 7 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 26 (b) 27 (c) 23 (d) 35
  38. 38.What is the mode of 13, 16, 9, 18, 13, 13 and 9? (a) 16 (b) 9 (c) 18 (d) 13
  39. 39.What is the median of 9, 23, 12, 31, 14, 34 and 7? (a) 14 (b) 31 (c) 12 (d) 23
  40. 40.What is the mean of 5, 15, 2, 13, 3 and 10? (a) 9 (b) 10 (c) 7 (d) 8

Answer key

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

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