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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 704 · 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 7 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 19 (b) 15 (c) 27 (d) 18
  2. 2.What is the mean of 3, 3, 18 and 12? (a) 10 (b) 9 (c) 8 (d) 12
  3. 3.The mean of 9 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 16 (b) 20 (c) 17 (d) 15
  4. 4.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 35 (b) 24 (c) 34 (d) 38
  5. 5.What is the median of 18, 12, 11, 40 and 24? (a) 11 (b) 18 (c) 21 (d) 24
  6. 6.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 11 (b) 7 (c) 13 (d) 10
  7. 7.What is the mean of 7, 7, 5, 5 and 11? (a) 9 (b) 8 (c) 6 (d) 7
  8. 8.What is the median of 17, 20, 3, 36 and 5? (a) 3 (b) 20 (c) 17 (d) 5
  9. 9.What is the mode of 4, 3, 6, 4, 6, 4 and 2? (a) 4 (b) 6 (c) 2 (d) 3
  10. 10.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  11. 11.The mean of 3 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 25 (b) 21 (c) 29 (d) 26
  12. 12.The mean of 4 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 36 (b) 31 (c) 26 (d) 30
  13. 13.What is the mean of 20, 2, 18 and 8? (a) 11 (b) 13 (c) 16 (d) 12
  14. 14.What is the mean of 11, 3, 8 and 18? (a) 10 (b) 8 (c) 11 (d) 9
  15. 15.What is the median of 28, 4, 12, 5 and 22? (a) 22 (b) 13 (c) 12 (d) 5
  16. 16.What is the mean of 17, 5, 2, 17 and 4? (a) 9 (b) 8 (c) 11 (d) 10
  17. 17.The mean of 5 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 18 (b) 24 (c) 23 (d) 22
  18. 18.What is the mode of 14, 18, 15, 14, 1, 15 and 14? (a) 1 (b) 14 (c) 18 (d) 15
  19. 19.What is the mean of 7, 16, 14, 7, 5 and 11? (a) 11 (b) 9 (c) 10 (d) 12
  20. 20.What is the median of 40, 3, 9, 7 and 31? (a) 31 (b) 9 (c) 7 (d) 18
  21. 21.What is the median of 33, 19, 7, 5 and 13? (a) 13 (b) 14 (c) 19 (d) 7
  22. 22.What is the mode of 15, 11, 3, 3, 11, 11 and 16? (a) 15 (b) 16 (c) 11 (d) 3
  23. 23.What is the mode of 14, 12, 12, 14, 8, 1 and 14? (a) 1 (b) 12 (c) 14 (d) 8
  24. 24.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 11 (b) 14 (c) 13 (d) 12
  25. 25.What is the mode of 2, 15, 11, 11, 5, 2 and 11? (a) 5 (b) 15 (c) 2 (d) 11
  26. 26.What is the median of 9, 31, 35, 5 and 8? (a) 31 (b) 9 (c) 35 (d) 8
  27. 27.The mean of 8 numbers is 21. When the number 57 is added to them, what is the new mean? (a) 21 (b) 26 (c) 39 (d) 25
  28. 28.What is the mode of 8, 10, 10, 3, 14, 14 and 14? (a) 3 (b) 10 (c) 8 (d) 14
  29. 29.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 9 (b) 13 (c) 14 (d) 15
  30. 30.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 18 (b) 34 (c) 31 (d) 30
  31. 31.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 12 (b) 13 (c) 9 (d) 14
  32. 32.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 14
  33. 33.What is the median of 26, 32, 24, 4, 31, 9 and 33? (a) 31 (b) 24 (c) 4 (d) 26
  34. 34.The mean of 3 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 20 (b) 24 (c) 26 (d) 23
  35. 35.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 27
  36. 36.What is the mode of 14, 14, 1, 1, 10, 13 and 14? (a) 14 (b) 1 (c) 10 (d) 13
  37. 37.What is the mean of 2, 20, 7 and 7? (a) 10 (b) 8 (c) 9 (d) 12
  38. 38.The mean of 6 numbers is 12. When the number 33 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 14
  39. 39.What is the mean of 20, 8, 13 and 19? (a) 12 (b) 15 (c) 16 (d) 20
  40. 40.What is the mean of 19, 6, 16 and 11? (a) 14 (b) 12 (c) 13 (d) 15

Answer key

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

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