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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 774 · 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 median of 10, 16, 38, 11, 30, 1 and 15? (a) 14 (b) 15 (c) 16 (d) 11
  2. 2.What is the median of 32, 14, 26, 3, 36, 4 and 15? (a) 3 (b) 26 (c) 14 (d) 15
  3. 3.The mean of 6 numbers is 21. When the number 42 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 21
  4. 4.What is the mean of 18, 19, 20, 8 and 20? (a) 17 (b) 16 (c) 19 (d) 18
  5. 5.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 30
  6. 6.What is the median of 18, 26, 13, 25, 1, 4 and 24? (a) 13 (b) 18 (c) 24 (d) 25
  7. 7.What is the mean of 4, 11, 10, 5, 20 and 10? (a) 9 (b) 12 (c) 10 (d) 11
  8. 8.What is the mode of 16, 1, 13, 16, 4, 1 and 16? (a) 4 (b) 13 (c) 1 (d) 16
  9. 9.What is the mean of 10, 8, 8, 4, 20 and 22? (a) 11 (b) 14 (c) 12 (d) 13
  10. 10.What is the mean of 10, 7, 2, 20 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  11. 11.What is the median of 35, 19, 23, 32 and 21? (a) 23 (b) 26 (c) 21 (d) 32
  12. 12.What is the mean of 10, 17, 6, 9, 13 and 5? (a) 10 (b) 12 (c) 9 (d) 11
  13. 13.What is the median of 35, 28, 20, 2, 8, 37 and 1? (a) 8 (b) 28 (c) 2 (d) 20
  14. 14.What is the mode of 1, 17, 20, 8, 17, 8 and 17? (a) 20 (b) 8 (c) 1 (d) 17
  15. 15.What is the median of 35, 14, 37, 11 and 2? (a) 11 (b) 35 (c) 14 (d) 37
  16. 16.What is the mean of 14, 11, 8 and 15? (a) 16 (b) 12 (c) 13 (d) 11
  17. 17.What is the mode of 11, 11, 12, 9, 12, 12 and 5? (a) 5 (b) 12 (c) 11 (d) 9
  18. 18.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 16 (c) 18 (d) 17
  19. 19.What is the mode of 17, 14, 14, 17, 1, 16 and 14? (a) 16 (b) 14 (c) 1 (d) 17
  20. 20.What is the median of 19, 3, 38, 25, 7, 30 and 40? (a) 19 (b) 25 (c) 26 (d) 30
  21. 21.What is the mean of 6, 18, 11, 4 and 6? (a) 10 (b) 8 (c) 9 (d) 11
  22. 22.What is the median of 27, 2, 7, 3, 32, 40 and 17? (a) 7 (b) 17 (c) 27 (d) 3
  23. 23.What is the mean of 9, 2, 4, 19, 15 and 5? (a) 10 (b) 11 (c) 8 (d) 9
  24. 24.What is the median of 17, 13, 27, 31 and 11? (a) 18 (b) 17 (c) 13 (d) 27
  25. 25.What is the mean of 9, 15, 17 and 7? (a) 16 (b) 13 (c) 11 (d) 12
  26. 26.What is the mean of 17, 6, 4 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  27. 27.What is the mode of 2, 5, 1, 7, 1, 2 and 1? (a) 7 (b) 1 (c) 5 (d) 2
  28. 28.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 20
  29. 29.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 16 (b) 12 (c) 15 (d) 21
  30. 30.What is the mean of 13, 2, 9, 9, 3 and 12? (a) 9 (b) 10 (c) 8 (d) 7
  31. 31.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 20 (b) 30 (c) 34 (d) 31
  32. 32.What is the mean of 7, 10, 4 and 7? (a) 7 (b) 6 (c) 9 (d) 8
  33. 33.What is the mode of 11, 19, 16, 11, 14, 14 and 11? (a) 19 (b) 14 (c) 16 (d) 11
  34. 34.What is the median of 11, 31, 7, 16, 10, 19 and 6? (a) 12 (b) 10 (c) 11 (d) 16
  35. 35.What is the mean of 10, 13, 7, 2, 5 and 23? (a) 10 (b) 12 (c) 9 (d) 11
  36. 36.What is the mean of 3, 7, 7, 14 and 14? (a) 10 (b) 9 (c) 8 (d) 11
  37. 37.What is the mode of 20, 9, 2, 9, 9, 2 and 11? (a) 11 (b) 20 (c) 2 (d) 9
  38. 38.What is the mean of 2, 19, 2, 7 and 15? (a) 10 (b) 9 (c) 11 (d) 8
  39. 39.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 31 (c) 35 (d) 34
  40. 40.The mean of 8 numbers is 12. When the number 48 is added to them, what is the new mean? (a) 17 (b) 30 (c) 12 (d) 16

Answer key

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

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