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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 199 · 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 15. When the number 35 is added to them, what is the new mean? (a) 15 (b) 25 (c) 20 (d) 19
  2. 2.What is the mean of 9, 10, 8 and 13? (a) 9 (b) 8 (c) 10 (d) 11
  3. 3.What is the mean of 7, 3, 12, 13, 5 and 20? (a) 11 (b) 9 (c) 10 (d) 12
  4. 4.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 13
  5. 5.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 32 (b) 30 (c) 34 (d) 33
  6. 6.What is the mode of 17, 20, 19, 19, 17, 17 and 7? (a) 19 (b) 7 (c) 20 (d) 17
  7. 7.What is the median of 17, 20, 22, 14 and 7? (a) 22 (b) 20 (c) 16 (d) 17
  8. 8.The mean of 5 numbers is 28. When the number 40 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 34
  9. 9.The mean of 6 numbers is 27. When the number 48 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 27
  10. 10.What is the median of 23, 9, 36, 12, 5, 18 and 10? (a) 13 (b) 12 (c) 18 (d) 10
  11. 11.What is the mode of 10, 18, 15, 15, 10, 9 and 10? (a) 10 (b) 18 (c) 15 (d) 9
  12. 12.What is the median of 33, 8, 16, 10 and 26? (a) 26 (b) 10 (c) 16 (d) 17
  13. 13.What is the mean of 20, 12, 8, 4, 16 and 6? (a) 11 (b) 12 (c) 10 (d) 13
  14. 14.The mean of 9 numbers is 36. When the number 26 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 31
  15. 15.What is the mode of 20, 4, 1, 10, 10, 10 and 4? (a) 1 (b) 4 (c) 20 (d) 10
  16. 16.What is the mean of 9, 5, 10 and 16? (a) 9 (b) 10 (c) 11 (d) 8
  17. 17.What is the median of 18, 22, 7, 4 and 24? (a) 15 (b) 22 (c) 7 (d) 18
  18. 18.The mean of 4 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 13 (b) 16 (c) 18 (d) 17
  19. 19.What is the mean of 5, 16, 11 and 12? (a) 12 (b) 11 (c) 10 (d) 13
  20. 20.What is the median of 6, 17, 14, 29, 8, 22 and 12? (a) 12 (b) 17 (c) 29 (d) 14
  21. 21.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 12 (b) 18 (c) 15 (d) 16
  22. 22.The mean of 6 numbers is 34. When the number 48 is added to them, what is the new mean? (a) 37 (b) 36 (c) 41 (d) 34
  23. 23.The mean of 3 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 15 (c) 14 (d) 10
  24. 24.What is the median of 16, 12, 39, 27 and 1? (a) 19 (b) 39 (c) 16 (d) 27
  25. 25.What is the mode of 3, 5, 3, 7, 12, 12 and 12? (a) 3 (b) 5 (c) 12 (d) 7
  26. 26.What is the mean of 13, 20, 2, 13 and 12? (a) 10 (b) 12 (c) 15 (d) 13
  27. 27.What is the mean of 16, 19, 5, 11 and 14? (a) 15 (b) 13 (c) 14 (d) 12
  28. 28.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 48 (b) 33 (c) 37 (d) 36
  29. 29.The mean of 8 numbers is 18. When the number 45 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 18
  30. 30.What is the mean of 6, 18, 20 and 8? (a) 15 (b) 12 (c) 13 (d) 14
  31. 31.What is the median of 22, 6, 3, 21 and 34? (a) 21 (b) 22 (c) 3 (d) 6
  32. 32.What is the median of 19, 33, 4, 23 and 5? (a) 19 (b) 4 (c) 23 (d) 5
  33. 33.What is the mode of 15, 4, 10, 2, 10, 15 and 10? (a) 15 (b) 10 (c) 2 (d) 4
  34. 34.What is the mean of 17, 14, 12 and 21? (a) 16 (b) 17 (c) 15 (d) 18
  35. 35.What is the mean of 14, 4, 2 and 20? (a) 8 (b) 11 (c) 9 (d) 10
  36. 36.The mean of 9 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 31
  37. 37.What is the mean of 15, 6, 19, 2 and 18? (a) 15 (b) 10 (c) 13 (d) 12
  38. 38.What is the mean of 16, 17, 7 and 12? (a) 15 (b) 14 (c) 12 (d) 13
  39. 39.What is the mode of 10, 19, 10, 18, 18, 10 and 11? (a) 19 (b) 18 (c) 10 (d) 11
  40. 40.What is the mean of 6, 19, 6, 14, 8 and 13? (a) 13 (b) 11 (c) 10 (d) 12

Answer key

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

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