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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 376 · 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 8, 2, 5 and 5? (a) 4 (b) 5 (c) 6 (d) 7
  2. 2.What is the mode of 3, 11, 9, 6, 11, 9 and 9? (a) 3 (b) 9 (c) 11 (d) 6
  3. 3.What is the mean of 20, 12, 7, 2, 4 and 15? (a) 12 (b) 10 (c) 11 (d) 9
  4. 4.What is the mean of 6, 10, 4, 9, 16 and 15? (a) 11 (b) 10 (c) 12 (d) 9
  5. 5.What is the mean of 6, 7, 7, 6, 2 and 14? (a) 6 (b) 9 (c) 8 (d) 7
  6. 6.The mean of 5 numbers is 31. When the number 37 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 33
  7. 7.What is the mean of 16, 2, 16 and 22? (a) 16 (b) 14 (c) 13 (d) 15
  8. 8.What is the mode of 2, 14, 15, 15, 2, 7 and 2? (a) 15 (b) 14 (c) 2 (d) 7
  9. 9.What is the mode of 17, 17, 16, 5, 5, 5 and 8? (a) 16 (b) 8 (c) 17 (d) 5
  10. 10.What is the median of 32, 5, 18, 23 and 19? (a) 19 (b) 20 (c) 18 (d) 23
  11. 11.What is the mode of 16, 13, 16, 13, 13, 12 and 20? (a) 20 (b) 13 (c) 16 (d) 12
  12. 12.What is the mode of 8, 10, 17, 17, 17, 8 and 6? (a) 10 (b) 8 (c) 6 (d) 17
  13. 13.What is the median of 19, 27, 6, 32, 9, 28 and 12? (a) 32 (b) 27 (c) 19 (d) 12
  14. 14.What is the median of 3, 22, 4, 2 and 14? (a) 3 (b) 14 (c) 4 (d) 9
  15. 15.The mean of 8 numbers is 34. When the number 7 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 34
  16. 16.What is the mean of 15, 5, 4, 3 and 13? (a) 9 (b) 8 (c) 10 (d) 7
  17. 17.What is the mean of 19, 15, 11 and 11? (a) 16 (b) 15 (c) 13 (d) 14
  18. 18.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 21 (c) 22 (d) 25
  19. 19.What is the median of 19, 28, 34, 29, 10, 6 and 20? (a) 28 (b) 20 (c) 29 (d) 19
  20. 20.What is the mean of 13, 3, 8, 20, 20 and 8? (a) 11 (b) 13 (c) 14 (d) 12
  21. 21.What is the mean of 12, 4, 13, 4 and 17? (a) 11 (b) 9 (c) 10 (d) 12
  22. 22.What is the mode of 3, 11, 7, 7, 1, 11 and 11? (a) 1 (b) 3 (c) 11 (d) 7
  23. 23.What is the mode of 15, 1, 17, 3, 1, 1 and 3? (a) 1 (b) 17 (c) 15 (d) 3
  24. 24.What is the mean of 6, 12, 12 and 6? (a) 12 (b) 8 (c) 9 (d) 10
  25. 25.What is the median of 15, 28, 20, 34, 10, 39 and 16? (a) 16 (b) 34 (c) 28 (d) 20
  26. 26.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 34 (b) 26 (c) 27 (d) 24
  27. 27.What is the mode of 6, 8, 8, 14, 15, 6 and 6? (a) 8 (b) 6 (c) 15 (d) 14
  28. 28.What is the mean of 3, 12, 13 and 8? (a) 10 (b) 9 (c) 12 (d) 8
  29. 29.What is the mode of 5, 15, 15, 19, 15, 19 and 8? (a) 5 (b) 19 (c) 8 (d) 15
  30. 30.The mean of 8 numbers is 26. When the number 53 is added to them, what is the new mean? (a) 26 (b) 29 (c) 30 (d) 28
  31. 31.What is the mean of 11, 4, 19 and 10? (a) 11 (b) 10 (c) 13 (d) 12
  32. 32.What is the median of 38, 24, 5, 40 and 1? (a) 38 (b) 25 (c) 24 (d) 5
  33. 33.What is the median of 13, 22, 40, 12 and 11? (a) 22 (b) 13 (c) 40 (d) 12
  34. 34.What is the median of 4, 2, 35, 11, 27, 3 and 22? (a) 12 (b) 4 (c) 11 (d) 22
  35. 35.What is the mean of 14, 2, 4 and 8? (a) 6 (b) 8 (c) 7 (d) 9
  36. 36.What is the median of 17, 32, 40, 5, 30, 12 and 1? (a) 17 (b) 30 (c) 5 (d) 12
  37. 37.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 33 (b) 31 (c) 26 (d) 32
  38. 38.What is the median of 11, 12, 20, 27 and 40? (a) 22 (b) 12 (c) 20 (d) 27
  39. 39.What is the mean of 20, 3, 8 and 9? (a) 8 (b) 9 (c) 11 (d) 10
  40. 40.The mean of 5 numbers is 21. When the number 3 is added to them, what is the new mean? (a) 21 (b) 12 (c) 18 (d) 19

Answer key

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

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