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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 416 · 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 median of 13, 6, 5, 23 and 8? (a) 5 (b) 11 (c) 13 (d) 8
  2. 2.The mean of 4 numbers is 28. When the number 33 is added to them, what is the new mean? (a) 28 (b) 31 (c) 29 (d) 30
  3. 3.What is the mean of 4, 4, 5 and 11? (a) 5 (b) 8 (c) 6 (d) 7
  4. 4.What is the mean of 6, 9, 4 and 17? (a) 10 (b) 12 (c) 9 (d) 8
  5. 5.What is the mean of 20, 10, 13, 11 and 21? (a) 14 (b) 16 (c) 15 (d) 17
  6. 6.What is the mean of 3, 11, 16 and 2? (a) 10 (b) 9 (c) 8 (d) 7
  7. 7.The mean of 9 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 21 (b) 14 (c) 11 (d) 13
  8. 8.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 31
  9. 9.What is the mean of 3, 3, 12, 19, 4 and 13? (a) 11 (b) 8 (c) 9 (d) 10
  10. 10.The mean of 8 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 26 (b) 35 (c) 34 (d) 33
  11. 11.What is the median of 32, 28, 23, 22 and 34? (a) 32 (b) 23 (c) 29 (d) 28
  12. 12.What is the mean of 2, 18, 3 and 5? (a) 8 (b) 9 (c) 7 (d) 6
  13. 13.The mean of 6 numbers is 28. When the number 35 is added to them, what is the new mean? (a) 31 (b) 29 (c) 30 (d) 28
  14. 14.What is the median of 24, 27, 10, 16, 31, 39 and 9? (a) 27 (b) 16 (c) 25 (d) 24
  15. 15.What is the mean of 7, 9, 12 and 8? (a) 9 (b) 8 (c) 10 (d) 12
  16. 16.What is the mean of 2, 2, 15, 18 and 3? (a) 7 (b) 8 (c) 9 (d) 10
  17. 17.The mean of 3 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 40 (b) 36 (c) 41 (d) 44
  18. 18.What is the median of 40, 9, 33, 7 and 6? (a) 7 (b) 9 (c) 19 (d) 33
  19. 19.What is the mode of 16, 7, 16, 13, 7, 16 and 1? (a) 16 (b) 1 (c) 7 (d) 13
  20. 20.What is the mean of 18, 12, 6, 14 and 10? (a) 10 (b) 12 (c) 13 (d) 15
  21. 21.What is the mean of 2, 18, 3 and 13? (a) 9 (b) 12 (c) 10 (d) 8
  22. 22.What is the mean of 6, 17, 3, 17 and 17? (a) 13 (b) 12 (c) 10 (d) 15
  23. 23.What is the mean of 3, 5, 13, 4 and 10? (a) 7 (b) 8 (c) 9 (d) 6
  24. 24.The mean of 4 numbers is 10. When the number 25 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 10
  25. 25.What is the mode of 10, 2, 2, 20, 1, 1 and 1? (a) 2 (b) 20 (c) 10 (d) 1
  26. 26.What is the mean of 19, 5, 8, 19, 7 and 8? (a) 13 (b) 11 (c) 10 (d) 12
  27. 27.The mean of 6 numbers is 22. When the number 36 is added to them, what is the new mean? (a) 22 (b) 29 (c) 24 (d) 25
  28. 28.What is the median of 1, 38, 33, 4, 29, 40 and 11? (a) 4 (b) 29 (c) 11 (d) 33
  29. 29.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 17
  30. 30.What is the mean of 2, 3, 12, 18, 19 and 6? (a) 9 (b) 11 (c) 10 (d) 12
  31. 31.The mean of 6 numbers is 36. When the number 15 is added to them, what is the new mean? (a) 34 (b) 33 (c) 36 (d) 32
  32. 32.The mean of 9 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 34
  33. 33.What is the mean of 15, 3, 4, 15 and 18? (a) 12 (b) 10 (c) 11 (d) 13
  34. 34.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 30 (b) 19 (c) 29 (d) 33
  35. 35.What is the mode of 6, 3, 3, 7, 6, 6 and 17? (a) 3 (b) 7 (c) 17 (d) 6
  36. 36.What is the mean of 19, 13, 13, 8, 15 and 16? (a) 14 (b) 15 (c) 13 (d) 12
  37. 37.The mean of 5 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 28
  38. 38.What is the mode of 17, 7, 1, 1, 17, 1 and 18? (a) 18 (b) 1 (c) 7 (d) 17
  39. 39.What is the mode of 1, 5, 12, 12, 12, 1 and 16? (a) 5 (b) 16 (c) 12 (d) 1
  40. 40.What is the mean of 6, 16, 20, 3 and 10? (a) 11 (b) 12 (c) 10 (d) 13

Answer key

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

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