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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 946 · 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 3 numbers is 23. When the number 19 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 22
  2. 2.What is the mode of 17, 17, 12, 17, 1, 9 and 12? (a) 17 (b) 1 (c) 9 (d) 12
  3. 3.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 48
  4. 4.What is the mean of 2, 10, 17, 14, 16 and 19? (a) 13 (b) 15 (c) 12 (d) 14
  5. 5.What is the mean of 6, 14, 15 and 5? (a) 10 (b) 9 (c) 11 (d) 8
  6. 6.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 34 (b) 30 (c) 20 (d) 31
  7. 7.What is the mean of 15, 6, 5 and 10? (a) 9 (b) 8 (c) 10 (d) 12
  8. 8.What is the mode of 2, 19, 2, 5, 19, 19 and 10? (a) 5 (b) 2 (c) 19 (d) 10
  9. 9.What is the median of 40, 33, 39, 19, 2, 35 and 16? (a) 35 (b) 33 (c) 19 (d) 34
  10. 10.What is the mode of 15, 2, 2, 9, 5, 15 and 15? (a) 9 (b) 15 (c) 5 (d) 2
  11. 11.What is the mean of 11, 2, 3 and 8? (a) 5 (b) 7 (c) 8 (d) 6
  12. 12.What is the mode of 13, 9, 7, 9, 5, 5 and 9? (a) 13 (b) 9 (c) 7 (d) 5
  13. 13.The mean of 3 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 21 (b) 19 (c) 15 (d) 18
  14. 14.What is the mode of 4, 20, 12, 20, 20, 12 and 5? (a) 20 (b) 12 (c) 5 (d) 4
  15. 15.What is the mean of 3, 10, 14 and 9? (a) 10 (b) 12 (c) 9 (d) 8
  16. 16.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 14 (b) 22 (c) 24 (d) 23
  17. 17.The mean of 4 numbers is 29. When the number 34 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 32
  18. 18.What is the mean of 18, 18, 7, 3 and 4? (a) 10 (b) 12 (c) 11 (d) 9
  19. 19.What is the median of 31, 8, 37, 11, 15, 9 and 21? (a) 11 (b) 21 (c) 15 (d) 16
  20. 20.What is the mean of 12, 15, 19, 19, 7 and 12? (a) 12 (b) 13 (c) 15 (d) 14
  21. 21.The mean of 3 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 36
  22. 22.What is the mean of 18, 16, 3, 10 and 8? (a) 10 (b) 13 (c) 12 (d) 11
  23. 23.What is the median of 25, 9, 3, 11 and 39? (a) 25 (b) 3 (c) 9 (d) 11
  24. 24.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 10
  25. 25.What is the mode of 13, 3, 12, 13, 19, 12 and 12? (a) 13 (b) 3 (c) 12 (d) 19
  26. 26.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 23 (b) 21 (c) 19 (d) 20
  27. 27.What is the mode of 15, 15, 1, 17, 19, 19 and 15? (a) 1 (b) 19 (c) 15 (d) 17
  28. 28.The mean of 5 numbers is 11. When the number 17 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
  29. 29.What is the median of 20, 16, 34, 38, 9, 32 and 10? (a) 32 (b) 38 (c) 16 (d) 20
  30. 30.What is the mean of 18, 5, 6, 8, 14 and 21? (a) 12 (b) 11 (c) 14 (d) 13
  31. 31.What is the mean of 17, 8, 17, 11, 18 and 19? (a) 14 (b) 18 (c) 16 (d) 15
  32. 32.What is the mode of 5, 6, 20, 8, 8, 8 and 5? (a) 6 (b) 20 (c) 5 (d) 8
  33. 33.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 20 (b) 17 (c) 18 (d) 19
  34. 34.What is the mean of 7, 10, 7 and 4? (a) 9 (b) 7 (c) 8 (d) 6
  35. 35.What is the median of 40, 7, 27, 2 and 34? (a) 34 (b) 22 (c) 7 (d) 27
  36. 36.What is the mean of 2, 14, 17, 17 and 15? (a) 12 (b) 15 (c) 14 (d) 13
  37. 37.What is the mean of 13, 19, 16, 12 and 5? (a) 13 (b) 12 (c) 14 (d) 15
  38. 38.What is the mean of 6, 19, 3 and 16? (a) 13 (b) 11 (c) 10 (d) 12
  39. 39.What is the mean of 14, 18, 6, 9 and 13? (a) 10 (b) 12 (c) 15 (d) 13
  40. 40.What is the mode of 15, 11, 20, 11, 15, 11 and 1? (a) 15 (b) 20 (c) 11 (d) 1

Answer key

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

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