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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 991 · 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 7, 3, 14, 20, 3 and 13? (a) 9 (b) 11 (c) 12 (d) 10
  2. 2.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 35 (b) 31 (c) 36 (d) 45
  3. 3.What is the mode of 5, 10, 14, 14, 11, 14 and 5? (a) 10 (b) 11 (c) 5 (d) 14
  4. 4.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 31
  5. 5.What is the mean of 7, 11, 6, 15, 9 and 6? (a) 10 (b) 8 (c) 9 (d) 11
  6. 6.What is the mode of 16, 5, 7, 16, 20, 7 and 16? (a) 5 (b) 16 (c) 20 (d) 7
  7. 7.What is the mode of 3, 3, 16, 12, 3, 5 and 16? (a) 12 (b) 3 (c) 16 (d) 5
  8. 8.What is the mean of 8, 10, 4, 8, 12 and 6? (a) 9 (b) 7 (c) 10 (d) 8
  9. 9.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 32
  10. 10.What is the median of 10, 27, 35, 36, 23, 2 and 22? (a) 36 (b) 23 (c) 22 (d) 27
  11. 11.What is the mean of 12, 3, 5, 4, 4 and 20? (a) 7 (b) 10 (c) 8 (d) 9
  12. 12.What is the mode of 9, 9, 16, 7, 14, 16 and 16? (a) 7 (b) 9 (c) 16 (d) 14
  13. 13.The mean of 7 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 15 (b) 16 (c) 17 (d) 19
  14. 14.What is the median of 21, 7, 37, 9 and 5? (a) 21 (b) 37 (c) 7 (d) 9
  15. 15.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 27
  16. 16.What is the mean of 3, 4, 14, 5 and 14? (a) 9 (b) 7 (c) 8 (d) 10
  17. 17.What is the median of 15, 20, 23, 11, 16, 18 and 31? (a) 11 (b) 16 (c) 18 (d) 20
  18. 18.What is the mode of 16, 16, 12, 20, 19, 16 and 12? (a) 16 (b) 19 (c) 12 (d) 20
  19. 19.The mean of 6 numbers is 18. When the number 46 is added to them, what is the new mean? (a) 32 (b) 22 (c) 18 (d) 23
  20. 20.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 14 (b) 10 (c) 15 (d) 13
  21. 21.What is the median of 39, 12, 15, 38 and 16? (a) 15 (b) 16 (c) 24 (d) 38
  22. 22.What is the mode of 1, 3, 3, 1, 15, 6 and 3? (a) 15 (b) 6 (c) 3 (d) 1
  23. 23.The mean of 9 numbers is 38. When the number 8 is added to them, what is the new mean? (a) 23 (b) 36 (c) 35 (d) 38
  24. 24.What is the mean of 14, 3, 20, 20 and 18? (a) 14 (b) 15 (c) 16 (d) 17
  25. 25.What is the median of 37, 8, 39, 2 and 5? (a) 8 (b) 5 (c) 39 (d) 37
  26. 26.What is the mean of 12, 4, 16, 4 and 19? (a) 10 (b) 11 (c) 12 (d) 13
  27. 27.What is the mean of 9, 20, 17, 14 and 20? (a) 20 (b) 15 (c) 17 (d) 16
  28. 28.What is the mode of 19, 13, 13, 18, 13, 14 and 14? (a) 13 (b) 14 (c) 19 (d) 18
  29. 29.What is the mode of 7, 7, 7, 8, 17, 1 and 17? (a) 8 (b) 17 (c) 7 (d) 1
  30. 30.What is the mode of 4, 6, 5, 14, 14, 4 and 4? (a) 6 (b) 4 (c) 14 (d) 5
  31. 31.What is the mean of 15, 7, 3, 9, 4 and 4? (a) 6 (b) 8 (c) 7 (d) 9
  32. 32.What is the mean of 15, 5, 11 and 17? (a) 11 (b) 16 (c) 13 (d) 12
  33. 33.What is the mean of 11, 18, 14, 13 and 14? (a) 13 (b) 14 (c) 16 (d) 15
  34. 34.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 16
  35. 35.The mean of 8 numbers is 32. When the number 59 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 32
  36. 36.What is the mode of 17, 8, 17, 9, 11, 11 and 11? (a) 9 (b) 17 (c) 8 (d) 11
  37. 37.What is the mean of 2, 14, 17, 5 and 17? (a) 12 (b) 11 (c) 10 (d) 13
  38. 38.What is the median of 22, 18, 12, 36 and 3? (a) 22 (b) 18 (c) 19 (d) 12
  39. 39.What is the mean of 9, 18, 16, 8 and 9? (a) 12 (b) 15 (c) 13 (d) 10
  40. 40.The mean of 8 numbers is 28. When the number 37 is added to them, what is the new mean? (a) 28 (b) 31 (c) 29 (d) 30

Answer key

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

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