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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 702 · 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, 1, 4, 4, 3, 3 and 3? (a) 6 (b) 1 (c) 4 (d) 3
  2. 2.What is the mode of 8, 8, 8, 1, 12, 1 and 4? (a) 4 (b) 1 (c) 12 (d) 8
  3. 3.What is the median of 6, 7, 15, 40 and 3? (a) 15 (b) 7 (c) 8 (d) 6
  4. 4.What is the mean of 2, 7, 2, 6 and 13? (a) 8 (b) 7 (c) 6 (d) 5
  5. 5.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 30 (b) 18 (c) 23 (d) 22
  6. 6.What is the mode of 15, 9, 4, 15, 9, 9 and 18? (a) 9 (b) 4 (c) 15 (d) 18
  7. 7.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 33 (b) 36 (c) 27 (d) 34
  8. 8.What is the mean of 20, 11, 4, 9, 8 and 14? (a) 12 (b) 11 (c) 10 (d) 13
  9. 9.What is the mode of 4, 11, 17, 16, 4, 4 and 11? (a) 17 (b) 11 (c) 16 (d) 4
  10. 10.What is the mode of 18, 3, 8, 20, 3, 3 and 8? (a) 3 (b) 8 (c) 18 (d) 20
  11. 11.What is the median of 22, 27, 18, 11, 40, 30 and 1? (a) 18 (b) 27 (c) 11 (d) 22
  12. 12.What is the mean of 4, 13, 19, 13, 9 and 14? (a) 14 (b) 11 (c) 12 (d) 13
  13. 13.The mean of 7 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 23 (b) 20 (c) 24 (d) 32
  14. 14.What is the median of 33, 39, 14, 28 and 19? (a) 19 (b) 33 (c) 14 (d) 28
  15. 15.What is the median of 30, 29, 23, 38 and 8? (a) 30 (b) 29 (c) 23 (d) 28
  16. 16.What is the mean of 8, 18, 2, 10, 9 and 7? (a) 11 (b) 9 (c) 10 (d) 8
  17. 17.What is the median of 30, 3, 27, 11 and 20? (a) 11 (b) 27 (c) 20 (d) 21
  18. 18.What is the median of 8, 3, 12, 2 and 18? (a) 12 (b) 9 (c) 8 (d) 3
  19. 19.What is the median of 22, 13, 7, 39, 18, 15 and 1? (a) 39 (b) 18 (c) 13 (d) 15
  20. 20.What is the mode of 14, 12, 18, 9, 18, 12 and 12? (a) 14 (b) 12 (c) 18 (d) 9
  21. 21.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 28 (b) 24 (c) 25 (d) 26
  22. 22.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 19 (b) 15 (c) 13 (d) 16
  23. 23.What is the mode of 17, 17, 19, 20, 17, 15 and 20? (a) 20 (b) 19 (c) 17 (d) 15
  24. 24.What is the mean of 18, 20, 9, 3, 9 and 13? (a) 12 (b) 11 (c) 14 (d) 13
  25. 25.What is the median of 12, 19, 10, 9, 25, 36 and 3? (a) 10 (b) 12 (c) 9 (d) 19
  26. 26.What is the median of 4, 34, 3, 32, 1, 10 and 6? (a) 6 (b) 32 (c) 10 (d) 4
  27. 27.What is the mode of 15, 4, 3, 4, 17, 3 and 3? (a) 3 (b) 4 (c) 15 (d) 17
  28. 28.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  29. 29.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 30 (b) 33 (c) 19 (d) 29
  30. 30.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 14 (b) 20 (c) 17 (d) 16
  31. 31.What is the mean of 8, 12, 7 and 13? (a) 9 (b) 8 (c) 10 (d) 11
  32. 32.What is the median of 27, 35, 25, 8, 10, 23 and 39? (a) 23 (b) 8 (c) 25 (d) 27
  33. 33.What is the mean of 3, 16, 7, 4, 15 and 15? (a) 10 (b) 9 (c) 12 (d) 11
  34. 34.What is the mean of 2, 17, 2, 5, 18 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  35. 35.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 32 (b) 35 (c) 36 (d) 34
  36. 36.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 33 (b) 20 (c) 35 (d) 32
  37. 37.What is the mean of 10, 9, 13, 18 and 10? (a) 15 (b) 12 (c) 10 (d) 13
  38. 38.What is the mode of 3, 15, 6, 16, 16, 16 and 6? (a) 6 (b) 16 (c) 15 (d) 3
  39. 39.What is the mean of 7, 6, 13, 14 and 20? (a) 13 (b) 12 (c) 10 (d) 15
  40. 40.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 24

Answer key

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

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