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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 52 · 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 6 numbers is 20. When the number 27 is added to them, what is the new mean? (a) 21 (b) 22 (c) 23 (d) 20
  2. 2.What is the mode of 19, 19, 6, 20, 19, 20 and 1? (a) 20 (b) 1 (c) 19 (d) 6
  3. 3.The mean of 7 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 12 (b) 15 (c) 16 (d) 14
  4. 4.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 23 (b) 22 (c) 19 (d) 25
  5. 5.What is the mean of 8, 19, 2 and 7? (a) 12 (b) 10 (c) 8 (d) 9
  6. 6.What is the mean of 19, 16, 3 and 10? (a) 12 (b) 13 (c) 16 (d) 11
  7. 7.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 45 (b) 40 (c) 44 (d) 50
  8. 8.What is the mean of 3, 5, 11 and 13? (a) 10 (b) 8 (c) 9 (d) 7
  9. 9.What is the mean of 19, 7, 19, 7 and 18? (a) 15 (b) 13 (c) 14 (d) 16
  10. 10.What is the mode of 20, 8, 12, 18, 12, 18 and 12? (a) 18 (b) 8 (c) 20 (d) 12
  11. 11.What is the mean of 4, 18, 7 and 3? (a) 10 (b) 9 (c) 7 (d) 8
  12. 12.What is the mode of 8, 8, 3, 8, 6, 2 and 3? (a) 8 (b) 2 (c) 3 (d) 6
  13. 13.What is the mode of 4, 11, 4, 4, 14, 11 and 1? (a) 1 (b) 11 (c) 14 (d) 4
  14. 14.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 31
  15. 15.What is the mean of 13, 4, 17, 10 and 11? (a) 11 (b) 13 (c) 10 (d) 12
  16. 16.What is the mean of 14, 10, 6 and 18? (a) 16 (b) 12 (c) 11 (d) 13
  17. 17.What is the mean of 12, 8, 7, 10, 16 and 13? (a) 11 (b) 13 (c) 12 (d) 10
  18. 18.The mean of 5 numbers is 14. When the number 20 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 14
  19. 19.What is the median of 20, 28, 24, 1 and 33? (a) 25 (b) 20 (c) 24 (d) 28
  20. 20.What is the mean of 8, 3, 10 and 11? (a) 10 (b) 8 (c) 9 (d) 7
  21. 21.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 22 (b) 21 (c) 24 (d) 23
  22. 22.What is the mean of 6, 17, 16 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  23. 23.What is the mean of 15, 6, 15 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  24. 24.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 21 (b) 26 (c) 25 (d) 31
  25. 25.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 22
  26. 26.What is the mean of 16, 8, 10, 14 and 2? (a) 12 (b) 11 (c) 10 (d) 9
  27. 27.What is the mean of 11, 3, 20, 6, 6 and 8? (a) 8 (b) 9 (c) 10 (d) 11
  28. 28.What is the mean of 2, 10, 10, 8, 10 and 20? (a) 10 (b) 12 (c) 11 (d) 9
  29. 29.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 20 (b) 21 (c) 28 (d) 18
  30. 30.What is the median of 3, 24, 5, 38 and 2? (a) 5 (b) 6 (c) 3 (d) 24
  31. 31.The mean of 7 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 35 (b) 40 (c) 32 (d) 34
  32. 32.The mean of 9 numbers is 38. When the number 18 is added to them, what is the new mean? (a) 28 (b) 37 (c) 36 (d) 38
  33. 33.The mean of 5 numbers is 20. When the number 44 is added to them, what is the new mean? (a) 25 (b) 32 (c) 20 (d) 24
  34. 34.What is the mode of 7, 5, 5, 7, 16, 13 and 7? (a) 16 (b) 13 (c) 7 (d) 5
  35. 35.What is the mean of 9, 4, 18, 20, 17 and 4? (a) 13 (b) 14 (c) 11 (d) 12
  36. 36.What is the mode of 20, 16, 16, 10, 10, 16 and 2? (a) 10 (b) 20 (c) 2 (d) 16
  37. 37.What is the mode of 12, 12, 13, 13, 12, 15 and 7? (a) 15 (b) 13 (c) 7 (d) 12
  38. 38.The mean of 5 numbers is 39. When the number 33 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 39
  39. 39.What is the mean of 6, 19, 19, 15, 2 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  40. 40.The mean of 3 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 25 (b) 29 (c) 30 (d) 33

Answer key

  1. 21
  2. 19
  3. 15
  4. 22
  5. 9
  6. 12
  7. 44
  8. 8
  9. 14
  10. 12
  11. 8
  12. 8
  13. 4
  14. 31
  15. 11
  16. 12
  17. 11
  18. 15
  19. 24
  20. 8
  21. 22
  22. 11
  23. 11
  24. 25
  25. 20
  26. 10
  27. 9
  28. 10
  29. 20
  30. 5
  31. 34
  32. 36
  33. 24
  34. 7
  35. 12
  36. 16
  37. 12
  38. 38
  39. 11
  40. 29

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