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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 791 · 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 4 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 42 (b) 41 (c) 47 (d) 37
  2. 2.What is the mode of 7, 8, 3, 15, 3, 8 and 3? (a) 15 (b) 8 (c) 7 (d) 3
  3. 3.What is the median of 2, 1, 38, 31, 25, 24 and 5? (a) 31 (b) 25 (c) 18 (d) 24
  4. 4.What is the median of 38, 9, 16, 12 and 34? (a) 34 (b) 12 (c) 17 (d) 16
  5. 5.What is the median of 11, 39, 1, 26, 27, 9 and 24? (a) 24 (b) 25 (c) 26 (d) 11
  6. 6.What is the mode of 5, 6, 6, 8, 5, 15 and 6? (a) 8 (b) 15 (c) 5 (d) 6
  7. 7.What is the mean of 10, 19, 4 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  8. 8.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 13 (b) 16 (c) 17 (d) 15
  9. 9.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 21 (b) 31 (c) 26 (d) 25
  10. 10.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 28 (b) 29 (c) 32 (d) 22
  11. 11.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 17 (b) 26 (c) 25 (d) 27
  12. 12.What is the median of 21, 37, 25, 18 and 34? (a) 27 (b) 21 (c) 34 (d) 25
  13. 13.What is the mode of 11, 4, 12, 10, 10, 10 and 11? (a) 4 (b) 10 (c) 11 (d) 12
  14. 14.What is the median of 38, 8, 27, 11 and 14? (a) 11 (b) 27 (c) 15 (d) 14
  15. 15.What is the mean of 3, 19, 12, 12, 4 and 22? (a) 14 (b) 12 (c) 13 (d) 11
  16. 16.What is the median of 32, 30, 37, 20 and 35? (a) 37 (b) 35 (c) 32 (d) 30
  17. 17.What is the median of 5, 34, 9, 21 and 3? (a) 5 (b) 10 (c) 21 (d) 9
  18. 18.What is the mode of 7, 7, 14, 16, 14, 14 and 2? (a) 16 (b) 2 (c) 14 (d) 7
  19. 19.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 14
  20. 20.What is the mode of 14, 15, 15, 13, 7, 15 and 14? (a) 7 (b) 14 (c) 15 (d) 13
  21. 21.What is the median of 29, 3, 10, 22 and 30? (a) 23 (b) 29 (c) 10 (d) 22
  22. 22.What is the mean of 13, 16, 4, 10 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  23. 23.The mean of 3 numbers is 33. When the number 37 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 36
  24. 24.What is the median of 31, 11, 28, 18 and 33? (a) 31 (b) 29 (c) 28 (d) 18
  25. 25.What is the mode of 7, 5, 17, 7, 17, 7 and 1? (a) 7 (b) 1 (c) 5 (d) 17
  26. 26.What is the median of 18, 26, 39, 6, 9, 15 and 2? (a) 6 (b) 9 (c) 18 (d) 15
  27. 27.What is the mean of 12, 16, 10, 19 and 23? (a) 20 (b) 15 (c) 17 (d) 16
  28. 28.What is the mean of 6, 10, 18, 17, 12 and 21? (a) 15 (b) 13 (c) 14 (d) 12
  29. 29.What is the median of 11, 24, 36, 13 and 1? (a) 17 (b) 36 (c) 13 (d) 24
  30. 30.What is the median of 35, 34, 18, 28, 16, 5 and 19? (a) 20 (b) 18 (c) 19 (d) 28
  31. 31.What is the mean of 2, 13, 7, 18 and 10? (a) 12 (b) 11 (c) 10 (d) 9
  32. 32.What is the median of 8, 36, 21, 4 and 10? (a) 21 (b) 11 (c) 8 (d) 10
  33. 33.What is the median of 13, 12, 19, 34 and 39? (a) 34 (b) 20 (c) 13 (d) 19
  34. 34.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 28 (b) 24 (c) 40 (d) 29
  35. 35.What is the median of 6, 1, 3, 33 and 37? (a) 3 (b) 16 (c) 33 (d) 6
  36. 36.What is the median of 17, 6, 4, 1 and 15? (a) 7 (b) 4 (c) 15 (d) 6
  37. 37.The mean of 5 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 37 (b) 33 (c) 38 (d) 45
  38. 38.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 12 (b) 11 (c) 9 (d) 10
  39. 39.What is the mean of 2, 20, 10, 13 and 15? (a) 15 (b) 10 (c) 12 (d) 13
  40. 40.What is the mode of 7, 10, 12, 7, 12, 4 and 12? (a) 10 (b) 7 (c) 4 (d) 12

Answer key

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

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