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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 506 · 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 7 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 23
  2. 2.What is the mean of 5, 3, 20 and 8? (a) 9 (b) 12 (c) 8 (d) 10
  3. 3.What is the mean of 18, 6, 15, 2 and 9? (a) 12 (b) 9 (c) 11 (d) 10
  4. 4.What is the mode of 3, 19, 10, 10, 10, 12 and 12? (a) 10 (b) 19 (c) 12 (d) 3
  5. 5.The mean of 6 numbers is 38. When the number 24 is added to them, what is the new mean? (a) 37 (b) 36 (c) 31 (d) 38
  6. 6.The mean of 9 numbers is 26. When the number 56 is added to them, what is the new mean? (a) 29 (b) 30 (c) 26 (d) 41
  7. 7.What is the mean of 3, 18, 12 and 11? (a) 12 (b) 13 (c) 11 (d) 10
  8. 8.What is the median of 24, 3, 32, 10, 40, 36 and 34? (a) 34 (b) 24 (c) 10 (d) 32
  9. 9.The mean of 8 numbers is 14. When the number 50 is added to them, what is the new mean? (a) 19 (b) 14 (c) 18 (d) 32
  10. 10.What is the median of 36, 12, 4, 13 and 20? (a) 17 (b) 13 (c) 4 (d) 20
  11. 11.What is the mode of 10, 12, 5, 18, 18, 12 and 12? (a) 5 (b) 12 (c) 18 (d) 10
  12. 12.The mean of 8 numbers is 11. When the number 29 is added to them, what is the new mean? (a) 20 (b) 13 (c) 14 (d) 11
  13. 13.The mean of 7 numbers is 22. When the number 54 is added to them, what is the new mean? (a) 26 (b) 22 (c) 27 (d) 38
  14. 14.What is the mode of 5, 17, 9, 12, 12, 9 and 9? (a) 12 (b) 17 (c) 9 (d) 5
  15. 15.What is the mean of 14, 16, 19 and 11? (a) 20 (b) 15 (c) 16 (d) 12
  16. 16.What is the median of 18, 26, 22, 4 and 8? (a) 8 (b) 18 (c) 19 (d) 22
  17. 17.What is the mean of 8, 15, 18 and 3? (a) 10 (b) 12 (c) 13 (d) 11
  18. 18.What is the mean of 9, 17, 16, 13 and 10? (a) 12 (b) 13 (c) 15 (d) 14
  19. 19.What is the median of 7, 40, 8, 39 and 2? (a) 9 (b) 7 (c) 39 (d) 8
  20. 20.What is the median of 30, 4, 28, 13 and 6? (a) 14 (b) 13 (c) 28 (d) 6
  21. 21.What is the mode of 18, 18, 9, 15, 15, 15 and 8? (a) 18 (b) 8 (c) 9 (d) 15
  22. 22.What is the median of 10, 7, 5, 17 and 32? (a) 5 (b) 17 (c) 10 (d) 7
  23. 23.What is the mean of 16, 2, 5 and 5? (a) 9 (b) 6 (c) 7 (d) 8
  24. 24.The mean of 5 numbers is 23. When the number 29 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  25. 25.What is the median of 30, 18, 12, 13 and 11? (a) 18 (b) 12 (c) 14 (d) 13
  26. 26.What is the mean of 16, 13, 4 and 19? (a) 12 (b) 13 (c) 14 (d) 15
  27. 27.The mean of 7 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 31
  28. 28.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 16 (b) 25 (c) 24 (d) 23
  29. 29.The mean of 8 numbers is 21. When the number 12 is added to them, what is the new mean? (a) 22 (b) 19 (c) 20 (d) 21
  30. 30.What is the mode of 18, 6, 16, 16, 5, 18 and 16? (a) 18 (b) 6 (c) 16 (d) 5
  31. 31.The mean of 4 numbers is 24. When the number 34 is added to them, what is the new mean? (a) 24 (b) 29 (c) 27 (d) 26
  32. 32.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 33 (b) 37 (c) 34 (d) 35
  33. 33.What is the mean of 9, 12, 16 and 7? (a) 10 (b) 12 (c) 11 (d) 13
  34. 34.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 33 (c) 37 (d) 38
  35. 35.What is the median of 15, 11, 31, 6 and 5? (a) 31 (b) 11 (c) 15 (d) 6
  36. 36.What is the mode of 6, 3, 6, 13, 6, 2 and 2? (a) 3 (b) 13 (c) 2 (d) 6
  37. 37.What is the mean of 11, 20, 13 and 4? (a) 13 (b) 12 (c) 11 (d) 16
  38. 38.What is the mean of 5, 8, 4, 15, 6 and 10? (a) 9 (b) 10 (c) 8 (d) 7
  39. 39.What is the mode of 18, 1, 14, 18, 9, 9 and 9? (a) 18 (b) 14 (c) 1 (d) 9
  40. 40.What is the mode of 4, 9, 19, 3, 9, 9 and 4? (a) 9 (b) 4 (c) 19 (d) 3

Answer key

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

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