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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 959 · 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 7, 18, 3, 7, 3, 17 and 7? (a) 3 (b) 17 (c) 7 (d) 18
  2. 2.What is the mode of 17, 4, 5, 17, 5, 5 and 11? (a) 5 (b) 17 (c) 4 (d) 11
  3. 3.What is the mean of 17, 3, 14, 17, 19 and 14? (a) 15 (b) 14 (c) 12 (d) 13
  4. 4.What is the mode of 1, 1, 15, 3, 15, 19 and 15? (a) 15 (b) 1 (c) 3 (d) 19
  5. 5.What is the median of 21, 1, 31, 39, 3, 7 and 2? (a) 21 (b) 7 (c) 3 (d) 39
  6. 6.What is the mode of 5, 4, 5, 15, 4, 12 and 4? (a) 5 (b) 4 (c) 15 (d) 12
  7. 7.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 23 (b) 15 (c) 25 (d) 24
  8. 8.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 11
  9. 9.What is the mean of 7, 9, 13 and 11? (a) 8 (b) 11 (c) 10 (d) 9
  10. 10.What is the median of 33, 20, 34, 19 and 15? (a) 20 (b) 19 (c) 33 (d) 34
  11. 11.What is the mean of 9, 6, 18 and 7? (a) 8 (b) 10 (c) 9 (d) 11
  12. 12.What is the median of 7, 3, 11, 21, 30, 10 and 39? (a) 12 (b) 10 (c) 21 (d) 11
  13. 13.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 38 (b) 28 (c) 24 (d) 29
  14. 14.What is the median of 2, 17, 38, 8 and 28? (a) 8 (b) 17 (c) 38 (d) 28
  15. 15.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 38 (b) 25 (c) 24 (d) 20
  16. 16.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 10 (b) 11 (c) 13 (d) 12
  17. 17.What is the median of 8, 30, 10, 24, 26, 31 and 37? (a) 30 (b) 24 (c) 27 (d) 26
  18. 18.What is the mean of 14, 8, 14, 11, 15 and 10? (a) 13 (b) 11 (c) 12 (d) 14
  19. 19.What is the median of 6, 3, 26, 23, 21, 35 and 25? (a) 23 (b) 24 (c) 25 (d) 21
  20. 20.What is the mode of 3, 3, 16, 6, 16, 3 and 11? (a) 3 (b) 11 (c) 6 (d) 16
  21. 21.The mean of 5 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 31 (b) 27 (c) 32 (d) 33
  22. 22.The mean of 3 numbers is 18. When the number 22 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 18
  23. 23.What is the mean of 20, 6, 18 and 8? (a) 14 (b) 13 (c) 15 (d) 12
  24. 24.What is the mean of 5, 19, 16, 15, 15 and 20? (a) 18 (b) 16 (c) 14 (d) 15
  25. 25.The mean of 8 numbers is 16. When the number 43 is added to them, what is the new mean? (a) 20 (b) 19 (c) 16 (d) 18
  26. 26.What is the median of 22, 4, 35, 23 and 1? (a) 35 (b) 23 (c) 17 (d) 22
  27. 27.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 9
  28. 28.The mean of 8 numbers is 19. When the number 28 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 20
  29. 29.What is the mean of 3, 6, 13, 18, 19 and 25? (a) 13 (b) 15 (c) 14 (d) 12
  30. 30.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 22
  31. 31.What is the mean of 6, 4, 3 and 11? (a) 5 (b) 6 (c) 8 (d) 7
  32. 32.What is the mean of 6, 4, 3, 14, 13 and 20? (a) 10 (b) 9 (c) 11 (d) 12
  33. 33.What is the mean of 10, 5, 7, 2 and 16? (a) 9 (b) 10 (c) 8 (d) 7
  34. 34.What is the mode of 2, 10, 1, 1, 14, 2 and 2? (a) 1 (b) 14 (c) 10 (d) 2
  35. 35.What is the mode of 12, 9, 9, 11, 15, 9 and 12? (a) 15 (b) 12 (c) 9 (d) 11
  36. 36.What is the mean of 5, 7, 14, 15, 3 and 4? (a) 10 (b) 7 (c) 8 (d) 9
  37. 37.What is the median of 34, 26, 1, 39 and 14? (a) 34 (b) 1 (c) 26 (d) 14
  38. 38.What is the mode of 7, 14, 4, 14, 11, 7 and 14? (a) 4 (b) 11 (c) 14 (d) 7
  39. 39.What is the mode of 6, 20, 6, 20, 11, 17 and 6? (a) 20 (b) 11 (c) 17 (d) 6
  40. 40.What is the mean of 20, 4, 7, 4, 2 and 17? (a) 8 (b) 11 (c) 9 (d) 10

Answer key

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

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