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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 579 · 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 1, 31, 2, 3, 14, 5 and 40? (a) 5 (b) 6 (c) 3 (d) 14
  2. 2.What is the mean of 6, 6, 20 and 12? (a) 11 (b) 10 (c) 13 (d) 12
  3. 3.What is the mode of 12, 9, 9, 17, 17, 16 and 9? (a) 17 (b) 9 (c) 12 (d) 16
  4. 4.What is the mean of 8, 9, 10 and 13? (a) 11 (b) 9 (c) 8 (d) 10
  5. 5.What is the mean of 9, 11, 16 and 12? (a) 13 (b) 11 (c) 16 (d) 12
  6. 6.What is the median of 24, 16, 28, 37, 11, 10 and 5? (a) 37 (b) 24 (c) 16 (d) 11
  7. 7.What is the mean of 13, 15, 8, 13 and 16? (a) 12 (b) 13 (c) 15 (d) 14
  8. 8.What is the mean of 5, 13, 19, 5 and 3? (a) 8 (b) 10 (c) 11 (d) 9
  9. 9.The mean of 3 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 25 (b) 24 (c) 22 (d) 26
  10. 10.The mean of 7 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 25 (b) 19 (c) 20 (d) 17
  11. 11.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 38 (b) 40 (c) 39 (d) 32
  12. 12.The mean of 7 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 22
  13. 13.What is the median of 36, 25, 3, 19, 20, 21 and 24? (a) 21 (b) 19 (c) 20 (d) 24
  14. 14.What is the mode of 5, 3, 5, 17, 5, 9 and 17? (a) 3 (b) 5 (c) 9 (d) 17
  15. 15.What is the mean of 6, 11, 18, 6 and 14? (a) 12 (b) 13 (c) 11 (d) 10
  16. 16.What is the median of 21, 30, 27, 39 and 14? (a) 30 (b) 21 (c) 28 (d) 27
  17. 17.What is the mode of 3, 2, 2, 13, 2, 11 and 11? (a) 3 (b) 11 (c) 13 (d) 2
  18. 18.What is the mean of 9, 4, 6, 2 and 9? (a) 8 (b) 7 (c) 6 (d) 5
  19. 19.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 29 (b) 28 (c) 19 (d) 31
  20. 20.What is the mean of 6, 17, 20 and 21? (a) 17 (b) 15 (c) 18 (d) 16
  21. 21.The mean of 4 numbers is 34. When the number 39 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 37
  22. 22.What is the mode of 8, 8, 20, 8, 4, 18 and 20? (a) 8 (b) 20 (c) 4 (d) 18
  23. 23.What is the mean of 17, 9, 4, 6, 4 and 8? (a) 8 (b) 10 (c) 7 (d) 9
  24. 24.What is the mode of 4, 14, 9, 9, 9, 14 and 20? (a) 9 (b) 20 (c) 14 (d) 4
  25. 25.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 26 (b) 24 (c) 34 (d) 27
  26. 26.What is the mean of 10, 15, 5, 2, 2 and 8? (a) 6 (b) 7 (c) 9 (d) 8
  27. 27.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 17 (b) 14 (c) 20 (d) 18
  28. 28.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 16 (b) 31 (c) 15 (d) 11
  29. 29.What is the mean of 18, 13, 13, 15 and 6? (a) 15 (b) 14 (c) 13 (d) 12
  30. 30.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 24 (b) 16 (c) 21 (d) 20
  31. 31.What is the median of 6, 27, 24, 16, 10, 40 and 7? (a) 17 (b) 16 (c) 10 (d) 24
  32. 32.The mean of 7 numbers is 33. When the number 17 is added to them, what is the new mean? (a) 33 (b) 31 (c) 25 (d) 32
  33. 33.The mean of 5 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 27 (b) 33 (c) 31 (d) 32
  34. 34.What is the mean of 17, 5, 20 and 10? (a) 13 (b) 15 (c) 14 (d) 12
  35. 35.What is the mode of 14, 6, 1, 8, 6, 6 and 14? (a) 1 (b) 6 (c) 14 (d) 8
  36. 36.What is the mean of 18, 12, 19 and 19? (a) 17 (b) 16 (c) 18 (d) 19
  37. 37.What is the mean of 13, 14, 20, 3 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  38. 38.What is the mode of 9, 9, 3, 3, 16, 11 and 9? (a) 9 (b) 11 (c) 16 (d) 3
  39. 39.What is the mode of 13, 17, 14, 17, 13, 13 and 7? (a) 17 (b) 13 (c) 7 (d) 14
  40. 40.What is the mean of 17, 5, 11 and 19? (a) 14 (b) 15 (c) 13 (d) 12

Answer key

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

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