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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 960 · 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 median of 38, 29, 26, 24, 1, 17 and 39? (a) 29 (b) 24 (c) 26 (d) 27
  2. 2.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 40 (b) 28 (c) 36 (d) 37
  3. 3.What is the median of 24, 5, 6, 15 and 37? (a) 6 (b) 24 (c) 15 (d) 16
  4. 4.What is the median of 30, 19, 1, 10 and 29? (a) 19 (b) 10 (c) 1 (d) 29
  5. 5.What is the median of 16, 5, 38, 30, 10, 35 and 2? (a) 16 (b) 30 (c) 17 (d) 10
  6. 6.What is the median of 22, 18, 31, 6, 38, 11 and 40? (a) 22 (b) 6 (c) 31 (d) 18
  7. 7.The mean of 4 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 37 (b) 33 (c) 38 (d) 43
  8. 8.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 16 (c) 23 (d) 22
  9. 9.What is the median of 36, 22, 4, 30, 37, 14 and 24? (a) 22 (b) 24 (c) 30 (d) 25
  10. 10.What is the median of 2, 23, 24, 30 and 40? (a) 23 (b) 25 (c) 24 (d) 30
  11. 11.What is the mean of 2, 11, 18 and 21? (a) 13 (b) 14 (c) 15 (d) 12
  12. 12.What is the mode of 6, 10, 5, 10, 6, 12 and 6? (a) 6 (b) 10 (c) 12 (d) 5
  13. 13.The mean of 7 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 33 (b) 36 (c) 24 (d) 34
  14. 14.What is the median of 30, 3, 23, 40, 18, 17 and 36? (a) 30 (b) 18 (c) 40 (d) 23
  15. 15.What is the median of 28, 22, 8, 39 and 27? (a) 22 (b) 27 (c) 8 (d) 28
  16. 16.What is the median of 20, 27, 25, 31 and 39? (a) 27 (b) 28 (c) 31 (d) 25
  17. 17.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 31 (b) 22 (c) 17 (d) 21
  18. 18.What is the mode of 14, 3, 14, 17, 18, 14 and 3? (a) 18 (b) 17 (c) 14 (d) 3
  19. 19.What is the median of 39, 13, 35, 26, 7, 32 and 1? (a) 26 (b) 27 (c) 32 (d) 13
  20. 20.What is the mean of 8, 3, 12 and 21? (a) 12 (b) 11 (c) 10 (d) 13
  21. 21.What is the median of 28, 1, 14, 20 and 23? (a) 20 (b) 14 (c) 23 (d) 21
  22. 22.What is the mean of 14, 17, 20, 5 and 4? (a) 12 (b) 10 (c) 15 (d) 13
  23. 23.What is the mean of 11, 3, 18 and 20? (a) 13 (b) 14 (c) 15 (d) 12
  24. 24.The mean of 8 numbers is 19. When the number 1 is added to them, what is the new mean? (a) 19 (b) 10 (c) 18 (d) 17
  25. 25.The mean of 4 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 23 (b) 30 (c) 33 (d) 29
  26. 26.The mean of 5 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 24 (b) 27 (c) 23 (d) 15
  27. 27.The mean of 5 numbers is 22. When the number 28 is added to them, what is the new mean? (a) 24 (b) 22 (c) 25 (d) 23
  28. 28.What is the mean of 12, 20, 15 and 13? (a) 20 (b) 15 (c) 16 (d) 12
  29. 29.The mean of 8 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 39 (b) 40 (c) 37 (d) 46
  30. 30.What is the mode of 16, 12, 2, 12, 15, 15 and 15? (a) 2 (b) 12 (c) 15 (d) 16
  31. 31.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 19 (b) 18 (c) 16 (d) 17
  32. 32.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 11
  33. 33.The mean of 4 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 28
  34. 34.What is the mode of 15, 4, 4, 8, 12, 4 and 8? (a) 15 (b) 12 (c) 8 (d) 4
  35. 35.What is the mean of 19, 14, 2, 6, 19 and 12? (a) 14 (b) 11 (c) 12 (d) 13
  36. 36.The mean of 4 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 33 (b) 27 (c) 34 (d) 37
  37. 37.What is the mode of 1, 16, 6, 11, 16, 16 and 11? (a) 11 (b) 16 (c) 6 (d) 1
  38. 38.What is the mode of 9, 3, 13, 3, 13, 13 and 2? (a) 13 (b) 9 (c) 3 (d) 2
  39. 39.What is the median of 40, 39, 10, 14, 38, 22 and 15? (a) 14 (b) 15 (c) 22 (d) 38
  40. 40.What is the mean of 3, 16, 8, 8, 13 and 12? (a) 11 (b) 12 (c) 10 (d) 9

Answer key

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

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