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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 392 · 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 mean of 12, 4, 12 and 16? (a) 12 (b) 13 (c) 11 (d) 10
  2. 2.What is the mean of 19, 2, 14 and 5? (a) 9 (b) 8 (c) 10 (d) 11
  3. 3.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 40 (b) 38 (c) 37 (d) 39
  4. 4.What is the median of 27, 39, 15, 38, 14, 36 and 13? (a) 36 (b) 27 (c) 26 (d) 38
  5. 5.The mean of 8 numbers is 38. When the number 65 is added to them, what is the new mean? (a) 42 (b) 41 (c) 38 (d) 40
  6. 6.What is the mean of 14, 17, 9, 20, 3 and 21? (a) 13 (b) 12 (c) 14 (d) 15
  7. 7.What is the mean of 6, 6, 13 and 19? (a) 10 (b) 13 (c) 12 (d) 11
  8. 8.What is the mean of 13, 3, 16, 2 and 6? (a) 7 (b) 10 (c) 8 (d) 9
  9. 9.What is the mode of 20, 6, 9, 9, 6, 9 and 3? (a) 3 (b) 6 (c) 9 (d) 20
  10. 10.The mean of 3 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 31 (b) 32 (c) 28 (d) 34
  11. 11.What is the mode of 6, 6, 1, 6, 1, 10 and 7? (a) 6 (b) 1 (c) 7 (d) 10
  12. 12.What is the mean of 4, 2, 7, 20, 7 and 8? (a) 9 (b) 7 (c) 8 (d) 10
  13. 13.What is the mode of 13, 13, 4, 2, 4, 10 and 4? (a) 10 (b) 2 (c) 13 (d) 4
  14. 14.What is the mode of 15, 7, 12, 15, 15, 20 and 12? (a) 15 (b) 20 (c) 7 (d) 12
  15. 15.What is the mean of 20, 13, 17, 19 and 21? (a) 15 (b) 19 (c) 18 (d) 17
  16. 16.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 45 (b) 40 (c) 50 (d) 44
  17. 17.What is the median of 22, 15, 8, 39, 40, 31 and 36? (a) 36 (b) 22 (c) 39 (d) 31
  18. 18.The mean of 4 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 16 (b) 18 (c) 19 (d) 21
  19. 19.What is the median of 26, 15, 18, 28 and 1? (a) 19 (b) 15 (c) 18 (d) 26
  20. 20.What is the mean of 10, 6, 17, 12, 20 and 7? (a) 14 (b) 11 (c) 12 (d) 13
  21. 21.What is the mean of 9, 16, 2 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  22. 22.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 19 (b) 16 (c) 20 (d) 18
  23. 23.What is the mode of 19, 12, 2, 19, 20, 19 and 2? (a) 20 (b) 19 (c) 12 (d) 2
  24. 24.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 24 (b) 23 (c) 21 (d) 22
  25. 25.What is the median of 7, 13, 36, 8 and 37? (a) 8 (b) 36 (c) 13 (d) 14
  26. 26.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 15
  27. 27.What is the median of 10, 39, 30, 14, 1, 2 and 5? (a) 14 (b) 11 (c) 5 (d) 10
  28. 28.What is the mode of 18, 16, 2, 16, 13, 13 and 13? (a) 13 (b) 16 (c) 2 (d) 18
  29. 29.What is the mean of 3, 10, 17 and 14? (a) 12 (b) 11 (c) 10 (d) 13
  30. 30.What is the mode of 18, 17, 13, 17, 2, 17 and 2? (a) 17 (b) 13 (c) 18 (d) 2
  31. 31.What is the mean of 6, 4, 15, 2, 4 and 5? (a) 7 (b) 8 (c) 6 (d) 5
  32. 32.What is the mean of 11, 14, 15 and 4? (a) 13 (b) 12 (c) 10 (d) 11
  33. 33.What is the mode of 5, 15, 12, 5, 5, 3 and 12? (a) 15 (b) 3 (c) 12 (d) 5
  34. 34.What is the mode of 8, 17, 18, 10, 10, 10 and 8? (a) 17 (b) 10 (c) 18 (d) 8
  35. 35.What is the mode of 12, 8, 7, 4, 8, 12 and 12? (a) 4 (b) 12 (c) 8 (d) 7
  36. 36.What is the median of 27, 36, 17, 11 and 30? (a) 30 (b) 28 (c) 17 (d) 27
  37. 37.What is the mode of 9, 5, 3, 5, 18, 5 and 9? (a) 18 (b) 3 (c) 5 (d) 9
  38. 38.What is the median of 13, 18, 23, 12, 27, 26 and 33? (a) 26 (b) 23 (c) 12 (d) 18
  39. 39.What is the mode of 15, 15, 17, 17, 4, 16 and 17? (a) 4 (b) 17 (c) 16 (d) 15
  40. 40.What is the mode of 16, 5, 20, 5, 5, 16 and 13? (a) 5 (b) 13 (c) 20 (d) 16

Answer key

  1. 11
  2. 10
  3. 38
  4. 27
  5. 41
  6. 14
  7. 11
  8. 8
  9. 9
  10. 31
  11. 6
  12. 8
  13. 4
  14. 15
  15. 18
  16. 44
  17. 31
  18. 18
  19. 18
  20. 12
  21. 8
  22. 18
  23. 19
  24. 22
  25. 13
  26. 15
  27. 10
  28. 13
  29. 11
  30. 17
  31. 6
  32. 11
  33. 5
  34. 10
  35. 12
  36. 27
  37. 5
  38. 23
  39. 17
  40. 5

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