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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 713 · 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.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 11
  2. 2.What is the mean of 16, 10, 15, 20 and 14? (a) 17 (b) 15 (c) 16 (d) 14
  3. 3.What is the mode of 8, 15, 10, 4, 8, 8 and 10? (a) 15 (b) 8 (c) 10 (d) 4
  4. 4.What is the mean of 10, 18, 17, 3, 8 and 10? (a) 12 (b) 10 (c) 11 (d) 13
  5. 5.What is the mode of 7, 7, 7, 3, 11, 3 and 4? (a) 7 (b) 4 (c) 3 (d) 11
  6. 6.What is the mode of 11, 20, 20, 17, 11, 5 and 20? (a) 20 (b) 11 (c) 17 (d) 5
  7. 7.What is the mean of 10, 16, 18, 9 and 12? (a) 13 (b) 12 (c) 14 (d) 15
  8. 8.The mean of 9 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 17
  9. 9.What is the mean of 9, 20, 14 and 21? (a) 18 (b) 16 (c) 17 (d) 15
  10. 10.What is the median of 36, 21, 19, 29 and 18? (a) 22 (b) 19 (c) 21 (d) 29
  11. 11.What is the mean of 6, 7, 14, 9, 12 and 24? (a) 12 (b) 14 (c) 13 (d) 11
  12. 12.What is the mode of 3, 10, 10, 12, 18, 12 and 12? (a) 18 (b) 3 (c) 10 (d) 12
  13. 13.What is the median of 13, 34, 27, 40 and 7? (a) 28 (b) 34 (c) 13 (d) 27
  14. 14.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 26
  15. 15.What is the median of 9, 31, 28, 12, 34, 10 and 7? (a) 28 (b) 12 (c) 13 (d) 10
  16. 16.The mean of 6 numbers is 19. When the number 5 is added to them, what is the new mean? (a) 17 (b) 12 (c) 18 (d) 19
  17. 17.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 27 (b) 23 (c) 38 (d) 26
  18. 18.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 13
  19. 19.The mean of 9 numbers is 13. When the number 3 is added to them, what is the new mean? (a) 11 (b) 8 (c) 13 (d) 12
  20. 20.What is the mode of 8, 7, 4, 8, 4, 16 and 4? (a) 7 (b) 8 (c) 4 (d) 16
  21. 21.What is the median of 30, 19, 29, 21, 5, 2 and 10? (a) 20 (b) 10 (c) 19 (d) 21
  22. 22.What is the median of 2, 39, 11, 32 and 19? (a) 32 (b) 11 (c) 20 (d) 19
  23. 23.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 18 (b) 20 (c) 22 (d) 21
  24. 24.What is the mode of 11, 11, 15, 2, 11, 6 and 2? (a) 15 (b) 6 (c) 11 (d) 2
  25. 25.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 27
  26. 26.The mean of 4 numbers is 30. When the number 45 is added to them, what is the new mean? (a) 34 (b) 32 (c) 33 (d) 30
  27. 27.What is the median of 8, 5, 6, 12, 15, 35 and 39? (a) 8 (b) 13 (c) 12 (d) 15
  28. 28.What is the mode of 5, 15, 1, 15, 11, 11 and 15? (a) 11 (b) 15 (c) 5 (d) 1
  29. 29.What is the mode of 19, 10, 8, 13, 19, 8 and 8? (a) 19 (b) 10 (c) 13 (d) 8
  30. 30.What is the mode of 4, 4, 11, 11, 4, 15 and 7? (a) 15 (b) 11 (c) 7 (d) 4
  31. 31.What is the mode of 19, 13, 14, 13, 7, 14 and 14? (a) 13 (b) 14 (c) 7 (d) 19
  32. 32.What is the mode of 11, 8, 4, 8, 15, 15 and 15? (a) 8 (b) 15 (c) 4 (d) 11
  33. 33.What is the mean of 3, 11, 18, 10, 17 and 25? (a) 13 (b) 14 (c) 12 (d) 15
  34. 34.What is the mode of 16, 1, 4, 9, 4, 1 and 1? (a) 1 (b) 4 (c) 9 (d) 16
  35. 35.What is the mode of 16, 6, 14, 14, 16, 2 and 14? (a) 16 (b) 6 (c) 14 (d) 2
  36. 36.What is the mean of 4, 19, 6, 9 and 22? (a) 13 (b) 10 (c) 15 (d) 12
  37. 37.What is the median of 1, 27, 28, 7 and 34? (a) 28 (b) 27 (c) 26 (d) 7
  38. 38.What is the median of 37, 7, 4, 36, 30, 1 and 13? (a) 7 (b) 36 (c) 13 (d) 30
  39. 39.The mean of 5 numbers is 12. When the number 6 is added to them, what is the new mean? (a) 9 (b) 10 (c) 12 (d) 11
  40. 40.The mean of 7 numbers is 16. When the number 48 is added to them, what is the new mean? (a) 16 (b) 21 (c) 32 (d) 20

Answer key

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

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