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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 465 · 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 mode of 11, 5, 6, 5, 13, 5 and 13? (a) 13 (b) 6 (c) 11 (d) 5
  2. 2.What is the mean of 10, 2, 20 and 16? (a) 16 (b) 13 (c) 11 (d) 12
  3. 3.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 39 (b) 42 (c) 46 (d) 41
  4. 4.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 22 (b) 17 (c) 31 (d) 21
  5. 5.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 37 (b) 34 (c) 33 (d) 29
  6. 6.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 30 (b) 29 (c) 31 (d) 28
  7. 7.What is the median of 20, 9, 34, 23, 28, 26 and 36? (a) 27 (b) 28 (c) 23 (d) 26
  8. 8.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 30 (b) 31 (c) 28 (d) 29
  9. 9.The mean of 3 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 46
  10. 10.What is the mean of 7, 15, 6, 3 and 14? (a) 9 (b) 10 (c) 11 (d) 8
  11. 11.What is the median of 20, 30, 25, 15, 17, 12 and 6? (a) 15 (b) 18 (c) 17 (d) 20
  12. 12.The mean of 4 numbers is 26. When the number 11 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 22
  13. 13.What is the median of 18, 23, 2, 11, 17, 15 and 25? (a) 18 (b) 15 (c) 11 (d) 17
  14. 14.What is the mode of 7, 14, 14, 7, 14, 2 and 19? (a) 2 (b) 14 (c) 7 (d) 19
  15. 15.What is the median of 33, 5, 1, 39, 13, 9 and 25? (a) 25 (b) 9 (c) 13 (d) 39
  16. 16.What is the median of 1, 39, 28, 5, 10, 16 and 18? (a) 16 (b) 5 (c) 18 (d) 10
  17. 17.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 16 (b) 15 (c) 14 (d) 18
  18. 18.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 21 (c) 30 (d) 29
  19. 19.What is the mean of 9, 2, 4, 4 and 6? (a) 7 (b) 4 (c) 6 (d) 5
  20. 20.What is the mean of 15, 6, 13 and 10? (a) 10 (b) 13 (c) 11 (d) 12
  21. 21.What is the mode of 9, 17, 17, 6, 6, 11 and 6? (a) 6 (b) 9 (c) 11 (d) 17
  22. 22.The mean of 9 numbers is 30. When the number 70 is added to them, what is the new mean? (a) 50 (b) 34 (c) 30 (d) 35
  23. 23.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 20 (b) 21 (c) 17 (d) 22
  24. 24.What is the median of 17, 37, 18, 28 and 31? (a) 31 (b) 18 (c) 29 (d) 28
  25. 25.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 39 (b) 40 (c) 41 (d) 38
  26. 26.What is the median of 30, 5, 31, 7 and 36? (a) 31 (b) 29 (c) 7 (d) 30
  27. 27.What is the mean of 16, 15, 4, 4 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  28. 28.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 33
  29. 29.What is the median of 20, 40, 16, 21 and 3? (a) 20 (b) 16 (c) 19 (d) 21
  30. 30.What is the mode of 20, 7, 2, 2, 7, 7 and 1? (a) 20 (b) 7 (c) 2 (d) 1
  31. 31.The mean of 8 numbers is 22. When the number 4 is added to them, what is the new mean? (a) 21 (b) 13 (c) 20 (d) 22
  32. 32.What is the median of 21, 34, 18, 32, 16, 28 and 23? (a) 21 (b) 32 (c) 28 (d) 23
  33. 33.What is the median of 24, 12, 33, 7, 6, 29 and 17? (a) 24 (b) 12 (c) 7 (d) 17
  34. 34.The mean of 9 numbers is 34. When the number 74 is added to them, what is the new mean? (a) 54 (b) 39 (c) 38 (d) 34
  35. 35.What is the mean of 7, 3, 3 and 15? (a) 6 (b) 7 (c) 8 (d) 9
  36. 36.What is the median of 32, 23, 4, 37 and 21? (a) 32 (b) 23 (c) 4 (d) 21
  37. 37.What is the mean of 4, 10, 19, 4 and 3? (a) 10 (b) 7 (c) 9 (d) 8
  38. 38.What is the mode of 2, 8, 6, 8, 8, 18 and 2? (a) 2 (b) 18 (c) 6 (d) 8
  39. 39.What is the median of 15, 19, 38, 3 and 9? (a) 9 (b) 38 (c) 19 (d) 15
  40. 40.What is the mode of 20, 6, 20, 6, 15, 17 and 20? (a) 15 (b) 17 (c) 20 (d) 6

Answer key

  1. 5
  2. 12
  3. 41
  4. 21
  5. 33
  6. 29
  7. 26
  8. 29
  9. 43
  10. 9
  11. 17
  12. 23
  13. 17
  14. 14
  15. 13
  16. 16
  17. 15
  18. 29
  19. 5
  20. 11
  21. 6
  22. 34
  23. 20
  24. 28
  25. 39
  26. 30
  27. 9
  28. 37
  29. 20
  30. 7
  31. 20
  32. 23
  33. 17
  34. 38
  35. 7
  36. 23
  37. 8
  38. 8
  39. 15
  40. 20

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