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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 974 · 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 16, 14, 18, 17, 4 and 15? (a) 14 (b) 12 (c) 15 (d) 13
  2. 2.What is the median of 15, 13, 40, 2 and 18? (a) 15 (b) 13 (c) 18 (d) 40
  3. 3.What is the median of 4, 35, 24, 11 and 40? (a) 25 (b) 24 (c) 11 (d) 35
  4. 4.What is the median of 17, 24, 8, 37 and 22? (a) 22 (b) 8 (c) 17 (d) 24
  5. 5.What is the mode of 18, 7, 3, 3, 15, 15 and 3? (a) 3 (b) 15 (c) 18 (d) 7
  6. 6.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 29 (c) 27 (d) 28
  7. 7.What is the mean of 13, 8, 11 and 12? (a) 10 (b) 12 (c) 13 (d) 11
  8. 8.What is the median of 2, 30, 10, 18, 19, 35 and 21? (a) 19 (b) 21 (c) 20 (d) 18
  9. 9.What is the mean of 15, 4, 14 and 15? (a) 16 (b) 13 (c) 12 (d) 11
  10. 10.What is the median of 27, 9, 5, 17 and 8? (a) 17 (b) 9 (c) 8 (d) 5
  11. 11.What is the mean of 2, 2, 10 and 10? (a) 5 (b) 6 (c) 7 (d) 8
  12. 12.The mean of 3 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 10 (b) 9 (c) 6 (d) 8
  13. 13.What is the mean of 2, 17, 5, 9 and 2? (a) 7 (b) 8 (c) 9 (d) 6
  14. 14.What is the median of 40, 31, 37, 28, 8, 1 and 10? (a) 29 (b) 28 (c) 31 (d) 10
  15. 15.What is the median of 22, 20, 10, 24 and 12? (a) 10 (b) 12 (c) 20 (d) 22
  16. 16.The mean of 9 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 24 (b) 17 (c) 16 (d) 14
  17. 17.The mean of 9 numbers is 22. When the number 62 is added to them, what is the new mean? (a) 26 (b) 22 (c) 42 (d) 27
  18. 18.What is the median of 23, 26, 39, 24, 20, 19 and 15? (a) 24 (b) 20 (c) 22 (d) 23
  19. 19.What is the median of 27, 30, 10, 14, 16, 28 and 7? (a) 14 (b) 27 (c) 17 (d) 16
  20. 20.What is the mean of 6, 8, 3 and 19? (a) 10 (b) 8 (c) 12 (d) 9
  21. 21.The mean of 4 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 27 (b) 33 (c) 23 (d) 28
  22. 22.What is the mode of 12, 14, 12, 13, 12, 11 and 13? (a) 11 (b) 12 (c) 14 (d) 13
  23. 23.The mean of 9 numbers is 22. When the number 2 is added to them, what is the new mean? (a) 22 (b) 20 (c) 12 (d) 21
  24. 24.What is the mean of 11, 9, 19 and 21? (a) 12 (b) 16 (c) 15 (d) 20
  25. 25.What is the mean of 12, 8, 17 and 19? (a) 13 (b) 14 (c) 16 (d) 15
  26. 26.The mean of 3 numbers is 10. When the number 14 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
  27. 27.What is the mean of 20, 14, 13, 9 and 14? (a) 13 (b) 16 (c) 15 (d) 14
  28. 28.What is the median of 39, 16, 40, 8 and 30? (a) 39 (b) 40 (c) 16 (d) 30
  29. 29.What is the median of 13, 3, 32, 5, 25, 28 and 37? (a) 25 (b) 13 (c) 28 (d) 5
  30. 30.What is the mode of 2, 17, 8, 8, 12, 12 and 8? (a) 8 (b) 17 (c) 2 (d) 12
  31. 31.The mean of 6 numbers is 38. When the number 31 is added to them, what is the new mean? (a) 37 (b) 39 (c) 36 (d) 38
  32. 32.What is the median of 27, 23, 10, 1, 2, 11 and 24? (a) 1 (b) 11 (c) 14 (d) 23
  33. 33.What is the mean of 19, 5, 5, 11 and 10? (a) 11 (b) 10 (c) 12 (d) 9
  34. 34.What is the mean of 5, 15, 11, 8 and 16? (a) 11 (b) 10 (c) 13 (d) 12
  35. 35.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 36 (b) 29 (c) 37 (d) 38
  36. 36.What is the mean of 19, 13, 4, 19, 7 and 4? (a) 10 (b) 13 (c) 12 (d) 11
  37. 37.The mean of 8 numbers is 34. When the number 61 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 38
  38. 38.What is the mode of 3, 3, 14, 6, 14, 18 and 14? (a) 3 (b) 14 (c) 6 (d) 18
  39. 39.What is the mean of 2, 11, 15, 18, 17 and 21? (a) 12 (b) 13 (c) 14 (d) 15
  40. 40.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 24 (b) 23 (c) 26 (d) 25

Answer key

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

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