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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 970 · 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.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 15 (b) 22 (c) 10 (d) 14
  2. 2.What is the median of 30, 3, 26, 28 and 31? (a) 30 (b) 26 (c) 28 (d) 29
  3. 3.What is the median of 34, 40, 14, 31 and 26? (a) 14 (b) 34 (c) 29 (d) 31
  4. 4.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 27 (b) 25 (c) 28 (d) 26
  5. 5.What is the median of 34, 30, 27, 2 and 32? (a) 27 (b) 25 (c) 30 (d) 32
  6. 6.What is the mode of 7, 14, 8, 12, 8, 8 and 12? (a) 8 (b) 7 (c) 12 (d) 14
  7. 7.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 15
  8. 8.What is the mean of 16, 3, 20 and 17? (a) 13 (b) 16 (c) 14 (d) 15
  9. 9.What is the mode of 16, 6, 16, 8, 14, 16 and 6? (a) 8 (b) 16 (c) 14 (d) 6
  10. 10.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 35 (b) 33 (c) 32 (d) 34
  11. 11.What is the mode of 11, 20, 12, 15, 20, 20 and 12? (a) 15 (b) 11 (c) 20 (d) 12
  12. 12.What is the mode of 2, 1, 1, 2, 19, 17 and 1? (a) 1 (b) 2 (c) 19 (d) 17
  13. 13.What is the median of 30, 16, 22, 24, 4, 23 and 31? (a) 25 (b) 23 (c) 24 (d) 22
  14. 14.The mean of 6 numbers is 35. When the number 49 is added to them, what is the new mean? (a) 42 (b) 35 (c) 38 (d) 37
  15. 15.What is the mode of 17, 20, 8, 20, 8, 2 and 20? (a) 17 (b) 20 (c) 8 (d) 2
  16. 16.What is the mean of 20, 14, 17, 20, 20 and 11? (a) 17 (b) 16 (c) 18 (d) 19
  17. 17.What is the mode of 1, 15, 1, 9, 11, 9 and 1? (a) 15 (b) 11 (c) 1 (d) 9
  18. 18.What is the mean of 15, 19, 3, 13 and 20? (a) 14 (b) 15 (c) 13 (d) 16
  19. 19.What is the median of 19, 31, 21, 22 and 33? (a) 21 (b) 22 (c) 23 (d) 31
  20. 20.What is the median of 22, 15, 38, 17, 19, 10 and 2? (a) 18 (b) 17 (c) 19 (d) 15
  21. 21.What is the median of 35, 32, 1, 12 and 27? (a) 12 (b) 32 (c) 1 (d) 27
  22. 22.What is the mode of 14, 1, 10, 1, 13, 1 and 13? (a) 13 (b) 1 (c) 10 (d) 14
  23. 23.What is the mode of 6, 6, 3, 3, 14, 6 and 11? (a) 11 (b) 3 (c) 14 (d) 6
  24. 24.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 30 (d) 22
  25. 25.What is the mean of 8, 5, 14, 19, 9 and 5? (a) 10 (b) 11 (c) 9 (d) 12
  26. 26.What is the median of 5, 1, 16, 18 and 22? (a) 5 (b) 18 (c) 16 (d) 17
  27. 27.What is the mean of 9, 5, 11, 6, 6 and 11? (a) 9 (b) 8 (c) 10 (d) 7
  28. 28.What is the mean of 11, 5, 20, 20, 4 and 6? (a) 10 (b) 11 (c) 13 (d) 12
  29. 29.What is the median of 18, 37, 35, 1 and 15? (a) 15 (b) 19 (c) 35 (d) 18
  30. 30.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 14 (b) 21 (c) 19 (d) 20
  31. 31.What is the mean of 13, 15, 15, 13 and 9? (a) 15 (b) 14 (c) 12 (d) 13
  32. 32.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 15 (b) 18 (c) 16 (d) 17
  33. 33.What is the median of 18, 17, 22, 2, 31, 38 and 1? (a) 2 (b) 17 (c) 18 (d) 22
  34. 34.What is the mode of 13, 15, 13, 2, 17, 15 and 13? (a) 15 (b) 13 (c) 2 (d) 17
  35. 35.What is the median of 26, 14, 8, 10, 9, 30 and 7? (a) 10 (b) 14 (c) 9 (d) 11
  36. 36.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 25 (b) 15 (c) 22 (d) 21
  37. 37.What is the median of 30, 21, 7, 16 and 4? (a) 21 (b) 17 (c) 16 (d) 7
  38. 38.What is the mean of 8, 17, 18, 19, 5 and 5? (a) 11 (b) 14 (c) 12 (d) 13
  39. 39.What is the mean of 10, 17, 9, 6, 18 and 12? (a) 14 (b) 12 (c) 11 (d) 13
  40. 40.What is the mean of 3, 6, 3 and 16? (a) 6 (b) 9 (c) 7 (d) 8

Answer key

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

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