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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 211 · 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, 7, 13, 10 and 13? (a) 12 (b) 11 (c) 9 (d) 10
  2. 2.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 13
  3. 3.What is the mean of 16, 15, 10 and 3? (a) 11 (b) 10 (c) 12 (d) 13
  4. 4.The mean of 5 numbers is 10. When the number 4 is added to them, what is the new mean? (a) 10 (b) 7 (c) 9 (d) 8
  5. 5.The mean of 3 numbers is 35. When the number 39 is added to them, what is the new mean? (a) 38 (b) 37 (c) 35 (d) 36
  6. 6.What is the median of 17, 38, 30, 23, 28, 7 and 9? (a) 23 (b) 28 (c) 17 (d) 24
  7. 7.What is the mode of 18, 10, 18, 10, 13, 18 and 3? (a) 18 (b) 13 (c) 3 (d) 10
  8. 8.The mean of 4 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 23 (b) 30 (c) 33 (d) 29
  9. 9.What is the mode of 4, 3, 3, 6, 8, 6 and 3? (a) 4 (b) 6 (c) 3 (d) 8
  10. 10.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 33
  11. 11.What is the mean of 9, 6, 4, 6, 10 and 13? (a) 10 (b) 9 (c) 7 (d) 8
  12. 12.What is the median of 2, 8, 10, 36, 35, 9 and 17? (a) 9 (b) 36 (c) 10 (d) 17
  13. 13.The mean of 6 numbers is 34. When the number 13 is added to them, what is the new mean? (a) 34 (b) 31 (c) 32 (d) 30
  14. 14.What is the mean of 15, 10, 15 and 16? (a) 14 (b) 13 (c) 16 (d) 15
  15. 15.What is the median of 18, 4, 2, 10 and 1? (a) 10 (b) 2 (c) 4 (d) 7
  16. 16.What is the median of 3, 21, 24, 23, 14, 1 and 36? (a) 23 (b) 22 (c) 21 (d) 14
  17. 17.What is the mean of 7, 6, 14, 11 and 12? (a) 10 (b) 9 (c) 12 (d) 11
  18. 18.What is the median of 4, 9, 22, 34 and 24? (a) 24 (b) 23 (c) 22 (d) 9
  19. 19.What is the median of 12, 30, 35, 6, 13, 9 and 21? (a) 21 (b) 18 (c) 6 (d) 13
  20. 20.What is the mean of 13, 20, 15 and 12? (a) 15 (b) 12 (c) 20 (d) 16
  21. 21.What is the mode of 15, 4, 4, 13, 18, 4 and 15? (a) 15 (b) 13 (c) 18 (d) 4
  22. 22.The mean of 9 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 21 (b) 22 (c) 25 (d) 20
  23. 23.What is the mode of 12, 10, 14, 10, 10, 3 and 14? (a) 12 (b) 14 (c) 3 (d) 10
  24. 24.What is the mean of 2, 5, 3, 13 and 17? (a) 8 (b) 9 (c) 10 (d) 7
  25. 25.What is the mean of 2, 13, 6, 16 and 13? (a) 9 (b) 10 (c) 12 (d) 11
  26. 26.What is the mode of 10, 2, 16, 2, 2, 10 and 6? (a) 16 (b) 6 (c) 2 (d) 10
  27. 27.The mean of 5 numbers is 35. When the number 11 is added to them, what is the new mean? (a) 31 (b) 32 (c) 23 (d) 35
  28. 28.What is the median of 4, 8, 5, 22, 19, 9 and 36? (a) 9 (b) 22 (c) 19 (d) 8
  29. 29.What is the mode of 3, 10, 3, 3, 1, 10 and 9? (a) 9 (b) 1 (c) 3 (d) 10
  30. 30.What is the median of 21, 12, 32, 15, 30, 16 and 29? (a) 21 (b) 16 (c) 15 (d) 29
  31. 31.What is the mode of 20, 14, 20, 14, 19, 16 and 20? (a) 19 (b) 20 (c) 14 (d) 16
  32. 32.What is the mean of 7, 13, 4, 6, 10 and 2? (a) 7 (b) 6 (c) 8 (d) 9
  33. 33.The mean of 4 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 21 (b) 27 (c) 28 (d) 31
  34. 34.What is the mean of 4, 20, 4, 4, 8 and 8? (a) 7 (b) 9 (c) 8 (d) 10
  35. 35.What is the median of 17, 32, 33, 19 and 6? (a) 17 (b) 32 (c) 19 (d) 33
  36. 36.What is the mean of 16, 6, 20 and 6? (a) 11 (b) 12 (c) 16 (d) 13
  37. 37.What is the median of 18, 24, 8, 9, 30, 7 and 37? (a) 24 (b) 9 (c) 18 (d) 19
  38. 38.What is the mode of 2, 1, 2, 1, 6, 1 and 13? (a) 1 (b) 13 (c) 6 (d) 2
  39. 39.What is the mode of 19, 11, 19, 1, 11, 11 and 18? (a) 11 (b) 19 (c) 1 (d) 18
  40. 40.What is the mode of 5, 15, 11, 15, 11, 15 and 8? (a) 5 (b) 15 (c) 8 (d) 11

Answer key

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

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