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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 878 · 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 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 24 (b) 17 (c) 12 (d) 16
  2. 2.The mean of 8 numbers is 13. When the number 40 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 17
  3. 3.What is the mean of 7, 5, 6 and 6? (a) 7 (b) 6 (c) 5 (d) 8
  4. 4.What is the mode of 14, 6, 15, 6, 14, 11 and 6? (a) 14 (b) 6 (c) 11 (d) 15
  5. 5.What is the mean of 12, 10, 7, 10 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  6. 6.What is the mode of 1, 5, 1, 17, 17, 3 and 17? (a) 1 (b) 5 (c) 3 (d) 17
  7. 7.The mean of 4 numbers is 33. When the number 38 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 33
  8. 8.What is the mean of 12, 6, 4, 8, 13 and 23? (a) 11 (b) 10 (c) 12 (d) 13
  9. 9.What is the median of 33, 3, 27, 21 and 13? (a) 27 (b) 13 (c) 21 (d) 22
  10. 10.What is the median of 1, 12, 33, 21 and 9? (a) 21 (b) 9 (c) 33 (d) 12
  11. 11.What is the mean of 4, 14, 6 and 12? (a) 10 (b) 9 (c) 8 (d) 12
  12. 12.What is the median of 4, 9, 21, 37, 3, 26 and 13? (a) 37 (b) 9 (c) 13 (d) 21
  13. 13.What is the median of 36, 39, 14, 11 and 30? (a) 14 (b) 36 (c) 30 (d) 26
  14. 14.What is the median of 27, 8, 32, 17, 7, 11 and 33? (a) 11 (b) 18 (c) 27 (d) 17
  15. 15.The mean of 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 14
  16. 16.What is the mode of 16, 16, 14, 14, 4, 14 and 1? (a) 1 (b) 14 (c) 4 (d) 16
  17. 17.The mean of 7 numbers is 17. When the number 49 is added to them, what is the new mean? (a) 33 (b) 17 (c) 22 (d) 21
  18. 18.What is the median of 9, 28, 39, 40, 1, 31 and 13? (a) 31 (b) 40 (c) 28 (d) 23
  19. 19.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 20 (b) 17 (c) 19 (d) 21
  20. 20.What is the median of 21, 27, 28, 37 and 29? (a) 30 (b) 28 (c) 29 (d) 27
  21. 21.What is the mode of 16, 4, 9, 9, 4, 8 and 9? (a) 4 (b) 8 (c) 16 (d) 9
  22. 22.What is the mean of 11, 16, 7, 12 and 9? (a) 12 (b) 10 (c) 11 (d) 13
  23. 23.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 21 (b) 16 (c) 20 (d) 26
  24. 24.What is the median of 7, 16, 17, 26 and 3? (a) 17 (b) 16 (c) 15 (d) 7
  25. 25.The mean of 5 numbers is 19. When the number 25 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 22
  26. 26.What is the mode of 15, 1, 6, 6, 2, 6 and 2? (a) 6 (b) 15 (c) 2 (d) 1
  27. 27.What is the mode of 13, 3, 3, 2, 13, 13 and 17? (a) 17 (b) 3 (c) 2 (d) 13
  28. 28.What is the median of 10, 8, 36, 5 and 28? (a) 36 (b) 8 (c) 28 (d) 10
  29. 29.What is the mode of 16, 16, 14, 20, 14, 14 and 3? (a) 16 (b) 3 (c) 20 (d) 14
  30. 30.What is the mode of 1, 19, 19, 2, 2, 2 and 17? (a) 2 (b) 17 (c) 19 (d) 1
  31. 31.What is the median of 40, 35, 3, 6, 29, 2 and 20? (a) 20 (b) 21 (c) 6 (d) 29
  32. 32.What is the mean of 11, 7, 14, 17 and 16? (a) 13 (b) 14 (c) 15 (d) 12
  33. 33.What is the mode of 15, 5, 5, 2, 17, 17 and 17? (a) 17 (b) 15 (c) 5 (d) 2
  34. 34.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 34 (b) 33 (c) 30 (d) 32
  35. 35.What is the mode of 15, 3, 3, 2, 3, 4 and 2? (a) 4 (b) 2 (c) 3 (d) 15
  36. 36.What is the mean of 8, 10, 18, 3, 7 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  37. 37.What is the median of 13, 12, 4, 17 and 23? (a) 4 (b) 17 (c) 12 (d) 13
  38. 38.What is the mean of 5, 17, 12, 9 and 17? (a) 10 (b) 13 (c) 15 (d) 12
  39. 39.What is the mean of 3, 2, 7 and 8? (a) 7 (b) 4 (c) 6 (d) 5
  40. 40.What is the mode of 18, 18, 9, 9, 5, 2 and 9? (a) 9 (b) 5 (c) 18 (d) 2

Answer key

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

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