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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 344 · 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 7, 5, 10, 17 and 6? (a) 10 (b) 8 (c) 11 (d) 9
  2. 2.The mean of 3 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 18
  3. 3.What is the median of 11, 20, 13, 10, 2, 30 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  4. 4.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 18 (b) 19 (c) 22 (d) 20
  5. 5.What is the mean of 7, 7, 19 and 7? (a) 9 (b) 11 (c) 10 (d) 8
  6. 6.What is the mean of 14, 18, 18, 18, 17 and 11? (a) 17 (b) 15 (c) 18 (d) 16
  7. 7.What is the median of 14, 15, 9, 26 and 17? (a) 15 (b) 9 (c) 14 (d) 17
  8. 8.What is the mean of 18, 7, 13 and 14? (a) 14 (b) 12 (c) 15 (d) 13
  9. 9.What is the mean of 11, 13, 13, 2 and 16? (a) 12 (b) 13 (c) 11 (d) 10
  10. 10.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 18 (b) 26 (c) 17 (d) 14
  11. 11.What is the mode of 20, 15, 5, 10, 5, 15 and 5? (a) 20 (b) 15 (c) 5 (d) 10
  12. 12.What is the mean of 5, 3, 13 and 7? (a) 8 (b) 6 (c) 9 (d) 7
  13. 13.What is the mean of 3, 11, 19, 5, 16 and 18? (a) 11 (b) 14 (c) 13 (d) 12
  14. 14.What is the median of 9, 36, 32, 40 and 25? (a) 32 (b) 36 (c) 25 (d) 33
  15. 15.What is the mean of 8, 2, 7, 11, 6 and 14? (a) 9 (b) 7 (c) 8 (d) 10
  16. 16.The mean of 4 numbers is 28. When the number 13 is added to them, what is the new mean? (a) 28 (b) 26 (c) 24 (d) 25
  17. 17.What is the median of 5, 20, 22, 28 and 6? (a) 21 (b) 22 (c) 20 (d) 6
  18. 18.What is the mean of 16, 20, 19, 2 and 18? (a) 16 (b) 14 (c) 17 (d) 15
  19. 19.The mean of 4 numbers is 27. When the number 12 is added to them, what is the new mean? (a) 25 (b) 27 (c) 23 (d) 24
  20. 20.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 16 (c) 12 (d) 17
  21. 21.What is the median of 24, 33, 4, 11 and 1? (a) 11 (b) 24 (c) 4 (d) 12
  22. 22.The mean of 9 numbers is 13. When the number 53 is added to them, what is the new mean? (a) 17 (b) 13 (c) 18 (d) 33
  23. 23.What is the median of 31, 23, 10, 3 and 17? (a) 23 (b) 18 (c) 17 (d) 10
  24. 24.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 20
  25. 25.What is the mean of 11, 18, 18, 7, 5 and 19? (a) 13 (b) 14 (c) 15 (d) 12
  26. 26.What is the mean of 4, 3, 5, 15, 5 and 10? (a) 6 (b) 8 (c) 7 (d) 9
  27. 27.What is the mean of 11, 19, 19 and 15? (a) 17 (b) 15 (c) 18 (d) 16
  28. 28.What is the mode of 6, 13, 13, 19, 18, 19 and 19? (a) 6 (b) 19 (c) 13 (d) 18
  29. 29.What is the median of 4, 32, 15, 33 and 25? (a) 25 (b) 15 (c) 32 (d) 26
  30. 30.What is the mean of 19, 18, 10 and 21? (a) 19 (b) 17 (c) 16 (d) 18
  31. 31.What is the mean of 7, 6, 12, 10 and 15? (a) 10 (b) 11 (c) 9 (d) 12
  32. 32.What is the mode of 3, 19, 16, 20, 16, 19 and 16? (a) 16 (b) 3 (c) 19 (d) 20
  33. 33.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 31 (b) 35 (c) 34 (d) 33
  34. 34.What is the mean of 9, 8, 9, 16, 6 and 18? (a) 13 (b) 11 (c) 10 (d) 12
  35. 35.What is the mean of 15, 20, 2, 20 and 13? (a) 15 (b) 14 (c) 13 (d) 16
  36. 36.What is the median of 3, 12, 16, 36 and 35? (a) 17 (b) 35 (c) 12 (d) 16
  37. 37.The mean of 8 numbers is 31. When the number 40 is added to them, what is the new mean? (a) 34 (b) 32 (c) 33 (d) 31
  38. 38.What is the median of 26, 14, 2, 9 and 5? (a) 5 (b) 14 (c) 9 (d) 2
  39. 39.What is the mode of 4, 13, 14, 3, 3, 13 and 3? (a) 3 (b) 14 (c) 13 (d) 4
  40. 40.What is the mean of 16, 18, 9, 3 and 9? (a) 12 (b) 10 (c) 13 (d) 11

Answer key

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

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