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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 524 · 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 6, 13, 11 and 6? (a) 12 (b) 8 (c) 9 (d) 10
  2. 2.The mean of 4 numbers is 14. When the number 29 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 18
  3. 3.What is the mode of 6, 6, 12, 12, 10, 18 and 12? (a) 18 (b) 10 (c) 6 (d) 12
  4. 4.What is the median of 28, 29, 20, 10, 4, 2 and 7? (a) 20 (b) 7 (c) 11 (d) 10
  5. 5.What is the mean of 9, 12, 17 and 6? (a) 13 (b) 12 (c) 11 (d) 10
  6. 6.What is the median of 24, 12, 38, 8, 1, 34 and 4? (a) 13 (b) 8 (c) 12 (d) 24
  7. 7.What is the mode of 1, 6, 15, 1, 6, 13 and 6? (a) 6 (b) 13 (c) 1 (d) 15
  8. 8.What is the mean of 2, 16, 15 and 3? (a) 9 (b) 10 (c) 12 (d) 8
  9. 9.What is the mean of 3, 14, 14, 16, 6 and 7? (a) 11 (b) 10 (c) 9 (d) 12
  10. 10.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 13 (b) 11 (c) 10 (d) 12
  11. 11.What is the mean of 14, 5, 10 and 15? (a) 12 (b) 11 (c) 10 (d) 13
  12. 12.The mean of 4 numbers is 15. When the number 10 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  13. 13.What is the mean of 2, 16, 5, 4, 7 and 8? (a) 8 (b) 6 (c) 9 (d) 7
  14. 14.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 13
  15. 15.What is the median of 2, 29, 35, 1, 21, 19 and 14? (a) 14 (b) 21 (c) 19 (d) 1
  16. 16.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 35 (b) 30 (c) 29 (d) 25
  17. 17.What is the mean of 3, 19, 13, 19, 12 and 24? (a) 15 (b) 16 (c) 14 (d) 18
  18. 18.What is the mode of 13, 4, 13, 12, 12, 13 and 9? (a) 9 (b) 12 (c) 4 (d) 13
  19. 19.What is the median of 8, 18, 7, 39, 17, 14 and 35? (a) 39 (b) 14 (c) 18 (d) 17
  20. 20.What is the median of 32, 35, 14, 26, 3, 9 and 36? (a) 32 (b) 26 (c) 14 (d) 27
  21. 21.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  22. 22.What is the mode of 16, 4, 16, 5, 20, 16 and 4? (a) 20 (b) 16 (c) 4 (d) 5
  23. 23.What is the mean of 18, 14, 17, 15 and 6? (a) 15 (b) 13 (c) 16 (d) 14
  24. 24.What is the mean of 4, 18, 12, 12, 3 and 17? (a) 10 (b) 11 (c) 12 (d) 13
  25. 25.What is the mode of 18, 15, 2, 2, 16, 15 and 15? (a) 18 (b) 15 (c) 2 (d) 16
  26. 26.What is the mean of 8, 18, 3, 5, 16 and 4? (a) 9 (b) 11 (c) 10 (d) 8
  27. 27.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 15
  28. 28.What is the mean of 4, 5, 18 and 21? (a) 12 (b) 16 (c) 13 (d) 11
  29. 29.What is the median of 11, 1, 5, 12 and 33? (a) 5 (b) 11 (c) 10 (d) 12
  30. 30.What is the median of 17, 22, 16, 1 and 11? (a) 11 (b) 15 (c) 16 (d) 17
  31. 31.What is the median of 11, 6, 27, 36, 34, 31 and 39? (a) 31 (b) 27 (c) 34 (d) 36
  32. 32.What is the mean of 14, 13, 18, 4 and 6? (a) 11 (b) 13 (c) 12 (d) 10
  33. 33.What is the mode of 10, 10, 10, 9, 9, 7 and 1? (a) 9 (b) 1 (c) 7 (d) 10
  34. 34.The mean of 7 numbers is 30. When the number 62 is added to them, what is the new mean? (a) 35 (b) 46 (c) 34 (d) 30
  35. 35.What is the mode of 20, 4, 5, 7, 7, 5 and 5? (a) 4 (b) 7 (c) 20 (d) 5
  36. 36.What is the median of 38, 4, 6, 5, 37, 34 and 17? (a) 5 (b) 34 (c) 6 (d) 17
  37. 37.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 33 (b) 34 (c) 36 (d) 35
  38. 38.What is the mean of 20, 2, 12, 6 and 10? (a) 11 (b) 12 (c) 9 (d) 10
  39. 39.What is the mean of 6, 11, 8 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  40. 40.What is the mean of 11, 13, 8 and 16? (a) 16 (b) 11 (c) 13 (d) 12

Answer key

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

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