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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 732 · 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 1, 7, 1, 7, 17, 7 and 6? (a) 7 (b) 17 (c) 1 (d) 6
  2. 2.What is the mode of 17, 20, 1, 2, 2, 2 and 17? (a) 17 (b) 20 (c) 1 (d) 2
  3. 3.What is the median of 36, 3, 8, 1 and 30? (a) 30 (b) 9 (c) 3 (d) 8
  4. 4.What is the median of 16, 25, 24, 33 and 28? (a) 24 (b) 26 (c) 28 (d) 25
  5. 5.What is the median of 12, 40, 19, 21, 6, 31 and 1? (a) 12 (b) 20 (c) 19 (d) 21
  6. 6.What is the mode of 6, 1, 7, 17, 1, 7 and 1? (a) 7 (b) 17 (c) 6 (d) 1
  7. 7.What is the mode of 1, 11, 11, 1, 7, 12 and 11? (a) 12 (b) 7 (c) 1 (d) 11
  8. 8.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 20 (b) 18 (c) 17 (d) 19
  9. 9.What is the mode of 6, 5, 5, 6, 1, 6 and 11? (a) 11 (b) 5 (c) 1 (d) 6
  10. 10.What is the median of 19, 7, 15, 5, 9, 2 and 4? (a) 7 (b) 8 (c) 9 (d) 5
  11. 11.The mean of 6 numbers is 38. When the number 31 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 39
  12. 12.What is the median of 11, 33, 14, 9, 38, 2 and 4? (a) 14 (b) 11 (c) 9 (d) 12
  13. 13.What is the median of 19, 16, 31, 28, 3, 20 and 38? (a) 20 (b) 28 (c) 21 (d) 19
  14. 14.What is the mean of 8, 18, 5 and 13? (a) 13 (b) 12 (c) 10 (d) 11
  15. 15.What is the median of 25, 2, 27, 7, 13, 3 and 11? (a) 13 (b) 11 (c) 12 (d) 7
  16. 16.What is the mode of 10, 6, 18, 10, 6, 2 and 10? (a) 2 (b) 18 (c) 10 (d) 6
  17. 17.The mean of 8 numbers is 31. When the number 4 is added to them, what is the new mean? (a) 27 (b) 31 (c) 29 (d) 28
  18. 18.What is the mode of 11, 20, 20, 10, 13, 13 and 20? (a) 13 (b) 11 (c) 20 (d) 10
  19. 19.What is the mean of 12, 4, 17, 16 and 21? (a) 14 (b) 13 (c) 15 (d) 16
  20. 20.What is the mean of 10, 10, 2, 2, 5 and 13? (a) 8 (b) 6 (c) 7 (d) 9
  21. 21.What is the mean of 2, 15, 16, 19 and 23? (a) 16 (b) 17 (c) 14 (d) 15
  22. 22.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 30 (b) 22 (c) 27 (d) 26
  23. 23.What is the median of 29, 8, 1, 26, 27, 22 and 20? (a) 19 (b) 26 (c) 20 (d) 22
  24. 24.What is the median of 16, 12, 14, 11, 35, 18 and 29? (a) 11 (b) 14 (c) 18 (d) 16
  25. 25.The mean of 3 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 21 (b) 24 (c) 18 (d) 22
  26. 26.What is the median of 9, 15, 39, 17 and 32? (a) 15 (b) 17 (c) 39 (d) 32
  27. 27.The mean of 3 numbers is 39. When the number 23 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 31
  28. 28.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 31 (b) 28 (c) 27 (d) 23
  29. 29.What is the median of 37, 33, 35, 10 and 28? (a) 33 (b) 28 (c) 35 (d) 34
  30. 30.What is the mode of 5, 6, 18, 7, 5, 7 and 5? (a) 5 (b) 18 (c) 6 (d) 7
  31. 31.What is the median of 17, 35, 15, 14, 3, 9 and 16? (a) 16 (b) 17 (c) 15 (d) 14
  32. 32.What is the mode of 10, 8, 11, 8, 11, 6 and 11? (a) 11 (b) 6 (c) 10 (d) 8
  33. 33.What is the mode of 7, 17, 2, 2, 2, 18 and 18? (a) 18 (b) 17 (c) 2 (d) 7
  34. 34.What is the mean of 4, 13, 16, 19, 18 and 8? (a) 15 (b) 12 (c) 13 (d) 14
  35. 35.What is the mode of 7, 7, 17, 7, 12, 1 and 17? (a) 17 (b) 12 (c) 7 (d) 1
  36. 36.What is the mean of 19, 9, 3, 5 and 19? (a) 11 (b) 13 (c) 12 (d) 10
  37. 37.The mean of 7 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 21 (b) 28 (c) 29 (d) 27
  38. 38.What is the mode of 13, 20, 7, 20, 14, 14 and 14? (a) 7 (b) 20 (c) 13 (d) 14
  39. 39.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 15 (b) 18 (c) 17 (d) 20
  40. 40.What is the mode of 12, 12, 12, 3, 9, 9 and 6? (a) 9 (b) 6 (c) 12 (d) 3

Answer key

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

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