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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 828 · 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.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 33 (c) 38 (d) 37
  2. 2.The mean of 9 numbers is 22. When the number 32 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 27
  3. 3.What is the mean of 10, 13, 16, 19 and 12? (a) 13 (b) 14 (c) 16 (d) 15
  4. 4.What is the median of 39, 26, 6, 22, 13, 33 and 3? (a) 23 (b) 22 (c) 26 (d) 13
  5. 5.What is the mean of 18, 17, 9 and 12? (a) 13 (b) 14 (c) 15 (d) 16
  6. 6.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 34 (b) 31 (c) 30 (d) 26
  7. 7.What is the mean of 2, 15, 4, 10 and 9? (a) 10 (b) 9 (c) 7 (d) 8
  8. 8.What is the mean of 17, 7, 19, 10 and 7? (a) 15 (b) 10 (c) 13 (d) 12
  9. 9.What is the mode of 2, 5, 16, 2, 5, 18 and 2? (a) 16 (b) 5 (c) 18 (d) 2
  10. 10.What is the mean of 7, 4, 4 and 21? (a) 8 (b) 9 (c) 10 (d) 12
  11. 11.What is the mode of 7, 7, 19, 17, 17, 17 and 13? (a) 17 (b) 7 (c) 19 (d) 13
  12. 12.What is the mean of 5, 7, 7, 10 and 21? (a) 11 (b) 9 (c) 10 (d) 12
  13. 13.What is the mean of 2, 12, 8, 14 and 4? (a) 10 (b) 9 (c) 8 (d) 7
  14. 14.What is the mean of 10, 6, 3, 17, 16 and 14? (a) 12 (b) 10 (c) 13 (d) 11
  15. 15.What is the mean of 2, 16, 8, 8, 6 and 20? (a) 12 (b) 9 (c) 11 (d) 10
  16. 16.What is the median of 22, 4, 8, 37, 32, 25 and 10? (a) 37 (b) 22 (c) 25 (d) 10
  17. 17.What is the mean of 2, 3, 12, 8 and 15? (a) 10 (b) 9 (c) 8 (d) 7
  18. 18.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 32 (b) 28 (c) 29 (d) 30
  19. 19.What is the median of 36, 11, 19, 12, 22, 39 and 25? (a) 19 (b) 22 (c) 25 (d) 12
  20. 20.What is the median of 13, 32, 1, 23 and 33? (a) 13 (b) 23 (c) 32 (d) 1
  21. 21.What is the mean of 13, 8, 6, 11, 18 and 16? (a) 12 (b) 13 (c) 11 (d) 14
  22. 22.What is the mean of 8, 5, 17, 15 and 10? (a) 13 (b) 10 (c) 12 (d) 11
  23. 23.What is the median of 13, 27, 19, 38 and 12? (a) 19 (b) 13 (c) 20 (d) 27
  24. 24.What is the mode of 13, 13, 2, 1, 5, 13 and 2? (a) 2 (b) 13 (c) 1 (d) 5
  25. 25.What is the mode of 11, 17, 11, 18, 18, 18 and 4? (a) 17 (b) 11 (c) 18 (d) 4
  26. 26.What is the mean of 19, 5, 10, 2 and 4? (a) 8 (b) 10 (c) 7 (d) 9
  27. 27.What is the median of 11, 35, 8, 34 and 28? (a) 28 (b) 34 (c) 8 (d) 11
  28. 28.The mean of 8 numbers is 34. When the number 16 is added to them, what is the new mean? (a) 25 (b) 32 (c) 34 (d) 33
  29. 29.The mean of 6 numbers is 33. When the number 26 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 34
  30. 30.What is the mode of 1, 2, 11, 11, 2, 11 and 14? (a) 14 (b) 2 (c) 1 (d) 11
  31. 31.What is the mean of 15, 18, 9, 18, 17 and 13? (a) 16 (b) 15 (c) 14 (d) 18
  32. 32.What is the mode of 3, 3, 13, 3, 20, 7 and 7? (a) 3 (b) 7 (c) 13 (d) 20
  33. 33.What is the mode of 9, 8, 8, 18, 5, 5 and 8? (a) 9 (b) 8 (c) 5 (d) 18
  34. 34.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 17
  35. 35.What is the mean of 3, 18, 14 and 17? (a) 14 (b) 15 (c) 13 (d) 12
  36. 36.What is the mode of 14, 10, 8, 10, 8, 10 and 17? (a) 14 (b) 10 (c) 17 (d) 8
  37. 37.The mean of 7 numbers is 34. When the number 58 is added to them, what is the new mean? (a) 38 (b) 34 (c) 37 (d) 46
  38. 38.What is the mode of 4, 15, 7, 10, 7, 7 and 10? (a) 4 (b) 7 (c) 15 (d) 10
  39. 39.What is the median of 12, 8, 20, 7 and 31? (a) 12 (b) 20 (c) 13 (d) 8
  40. 40.What is the mode of 19, 7, 19, 18, 8, 18 and 18? (a) 18 (b) 19 (c) 7 (d) 8

Answer key

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

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