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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 944 · 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 4, 14, 2, 15, 4, 4 and 2? (a) 4 (b) 14 (c) 15 (d) 2
  2. 2.What is the mode of 2, 8, 18, 3, 3, 18 and 18? (a) 3 (b) 8 (c) 18 (d) 2
  3. 3.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 35
  4. 4.What is the mean of 14, 7, 10 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  5. 5.The mean of 4 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 37 (b) 42 (c) 36 (d) 32
  6. 6.What is the mode of 3, 15, 15, 11, 3, 2 and 3? (a) 11 (b) 15 (c) 2 (d) 3
  7. 7.What is the mode of 15, 19, 12, 1, 15, 12 and 15? (a) 15 (b) 19 (c) 12 (d) 1
  8. 8.What is the mode of 5, 6, 5, 4, 20, 6 and 5? (a) 6 (b) 5 (c) 4 (d) 20
  9. 9.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 38 (b) 42 (c) 44 (d) 41
  10. 10.What is the mode of 20, 1, 20, 17, 1, 19 and 1? (a) 19 (b) 20 (c) 17 (d) 1
  11. 11.The mean of 7 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 30 (c) 29 (d) 32
  12. 12.What is the mean of 17, 13, 4, 12 and 14? (a) 13 (b) 15 (c) 12 (d) 10
  13. 13.The mean of 9 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 42 (b) 49 (c) 41 (d) 39
  14. 14.What is the median of 19, 5, 39, 25 and 3? (a) 19 (b) 25 (c) 39 (d) 5
  15. 15.What is the mean of 4, 12, 6 and 18? (a) 10 (b) 9 (c) 11 (d) 8
  16. 16.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 23 (b) 30 (c) 25 (d) 26
  17. 17.What is the mean of 4, 16, 6 and 6? (a) 9 (b) 8 (c) 7 (d) 10
  18. 18.What is the mode of 20, 4, 6, 4, 4, 20 and 3? (a) 20 (b) 3 (c) 6 (d) 4
  19. 19.What is the mode of 4, 19, 19, 2, 1, 2 and 2? (a) 4 (b) 2 (c) 19 (d) 1
  20. 20.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 14
  21. 21.What is the median of 10, 6, 14, 16 and 1? (a) 6 (b) 11 (c) 10 (d) 14
  22. 22.What is the mode of 11, 1, 11, 20, 20, 3 and 11? (a) 1 (b) 11 (c) 20 (d) 3
  23. 23.What is the mode of 4, 17, 18, 17, 2, 2 and 17? (a) 17 (b) 2 (c) 18 (d) 4
  24. 24.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 35 (b) 38 (c) 26 (d) 34
  25. 25.What is the mean of 14, 4, 7 and 15? (a) 10 (b) 8 (c) 9 (d) 11
  26. 26.What is the median of 38, 23, 18, 26, 8, 37 and 32? (a) 26 (b) 23 (c) 32 (d) 27
  27. 27.What is the mean of 7, 11, 2 and 12? (a) 10 (b) 9 (c) 8 (d) 7
  28. 28.What is the mean of 17, 6, 17, 5 and 20? (a) 14 (b) 12 (c) 15 (d) 13
  29. 29.What is the median of 6, 9, 32, 4 and 18? (a) 18 (b) 32 (c) 6 (d) 9
  30. 30.What is the mode of 10, 1, 15, 15, 15, 10 and 5? (a) 15 (b) 1 (c) 5 (d) 10
  31. 31.What is the median of 38, 39, 9, 23 and 31? (a) 38 (b) 31 (c) 28 (d) 9
  32. 32.What is the mean of 3, 17, 2, 6, 20 and 12? (a) 12 (b) 9 (c) 11 (d) 10
  33. 33.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 38 (b) 35 (c) 22 (d) 34
  34. 34.What is the mean of 17, 12, 17, 19 and 15? (a) 15 (b) 16 (c) 17 (d) 20
  35. 35.What is the median of 39, 27, 32, 2 and 22? (a) 22 (b) 28 (c) 27 (d) 32
  36. 36.What is the median of 24, 21, 23, 6 and 3? (a) 21 (b) 22 (c) 6 (d) 23
  37. 37.What is the median of 26, 4, 34, 27 and 31? (a) 27 (b) 34 (c) 31 (d) 26
  38. 38.What is the mode of 3, 16, 4, 16, 16, 6 and 4? (a) 6 (b) 3 (c) 16 (d) 4
  39. 39.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 36 (b) 22 (c) 40 (d) 37
  40. 40.The mean of 7 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 35 (b) 33 (c) 31 (d) 32

Answer key

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

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