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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 937 · 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 mode of 6, 9, 18, 18, 18, 15 and 9? (a) 6 (b) 15 (c) 18 (d) 9
  2. 2.What is the median of 1, 23, 33, 30 and 27? (a) 33 (b) 30 (c) 23 (d) 27
  3. 3.What is the mean of 10, 13, 4 and 9? (a) 8 (b) 9 (c) 10 (d) 12
  4. 4.What is the mode of 13, 14, 14, 14, 4, 15 and 13? (a) 15 (b) 13 (c) 4 (d) 14
  5. 5.The mean of 7 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 38 (b) 41 (c) 42 (d) 50
  6. 6.What is the mean of 12, 8, 13, 2 and 20? (a) 11 (b) 12 (c) 13 (d) 10
  7. 7.What is the mode of 5, 5, 7, 1, 7, 5 and 6? (a) 5 (b) 1 (c) 7 (d) 6
  8. 8.The mean of 7 numbers is 20. When the number 28 is added to them, what is the new mean? (a) 24 (b) 20 (c) 22 (d) 21
  9. 9.The mean of 4 numbers is 23. When the number 13 is added to them, what is the new mean? (a) 23 (b) 22 (c) 18 (d) 21
  10. 10.What is the mean of 19, 18, 6, 17, 17 and 19? (a) 15 (b) 16 (c) 17 (d) 18
  11. 11.What is the mean of 2, 2, 15, 4, 15 and 10? (a) 8 (b) 9 (c) 10 (d) 7
  12. 12.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17
  13. 13.What is the mean of 3, 12, 2, 10, 20 and 13? (a) 10 (b) 11 (c) 12 (d) 9
  14. 14.What is the mean of 5, 10, 20 and 5? (a) 9 (b) 11 (c) 8 (d) 10
  15. 15.What is the median of 38, 6, 22, 21 and 27? (a) 21 (b) 22 (c) 23 (d) 27
  16. 16.The mean of 3 numbers is 26. When the number 10 is added to them, what is the new mean? (a) 26 (b) 18 (c) 23 (d) 22
  17. 17.What is the mode of 4, 5, 4, 5, 4, 11 and 16? (a) 11 (b) 4 (c) 5 (d) 16
  18. 18.What is the mode of 2, 13, 17, 17, 2, 16 and 17? (a) 16 (b) 2 (c) 17 (d) 13
  19. 19.What is the mode of 6, 15, 9, 6, 11, 11 and 11? (a) 9 (b) 6 (c) 11 (d) 15
  20. 20.What is the median of 40, 26, 32, 15 and 23? (a) 27 (b) 23 (c) 26 (d) 32
  21. 21.What is the median of 4, 28, 8, 23 and 15? (a) 23 (b) 8 (c) 15 (d) 16
  22. 22.What is the mean of 18, 9, 14, 2, 20 and 21? (a) 12 (b) 14 (c) 15 (d) 13
  23. 23.What is the mode of 20, 17, 7, 7, 2, 7 and 17? (a) 7 (b) 17 (c) 2 (d) 20
  24. 24.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 42 (b) 34 (c) 39 (d) 38
  25. 25.The mean of 8 numbers is 18. When the number 54 is added to them, what is the new mean? (a) 36 (b) 22 (c) 23 (d) 18
  26. 26.What is the median of 6, 24, 34, 38 and 10? (a) 25 (b) 24 (c) 34 (d) 10
  27. 27.What is the median of 38, 36, 13, 34 and 40? (a) 34 (b) 36 (c) 38 (d) 13
  28. 28.What is the mode of 20, 20, 12, 4, 7, 4 and 4? (a) 4 (b) 12 (c) 7 (d) 20
  29. 29.What is the mode of 17, 10, 10, 10, 5, 17 and 2? (a) 10 (b) 17 (c) 2 (d) 5
  30. 30.What is the mode of 3, 12, 3, 6, 6, 16 and 3? (a) 12 (b) 6 (c) 3 (d) 16
  31. 31.What is the mode of 20, 15, 9, 15, 2, 15 and 20? (a) 15 (b) 9 (c) 2 (d) 20
  32. 32.What is the median of 11, 39, 2, 13 and 36? (a) 11 (b) 13 (c) 2 (d) 36
  33. 33.What is the median of 9, 26, 36, 34 and 35? (a) 34 (b) 36 (c) 28 (d) 35
  34. 34.What is the mode of 8, 3, 4, 3, 8, 7 and 3? (a) 8 (b) 4 (c) 3 (d) 7
  35. 35.What is the median of 9, 10, 28, 38 and 5? (a) 9 (b) 28 (c) 18 (d) 10
  36. 36.What is the mode of 6, 2, 11, 13, 6, 6 and 13? (a) 2 (b) 13 (c) 11 (d) 6
  37. 37.What is the median of 7, 5, 9, 21, 40, 19 and 34? (a) 20 (b) 21 (c) 9 (d) 19
  38. 38.What is the mean of 18, 11, 11 and 8? (a) 13 (b) 12 (c) 16 (d) 11
  39. 39.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 38 (b) 35 (c) 39 (d) 40
  40. 40.The mean of 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 20

Answer key

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

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