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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 118 · 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 10, 16, 1, 15, 17, 9 and 2? (a) 10 (b) 15 (c) 11 (d) 9
  2. 2.The mean of 9 numbers is 26. When the number 56 is added to them, what is the new mean? (a) 41 (b) 30 (c) 29 (d) 26
  3. 3.The mean of 8 numbers is 34. When the number 25 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  4. 4.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 14 (b) 13 (c) 16 (d) 12
  5. 5.What is the median of 3, 9, 13, 35 and 14? (a) 14 (b) 13 (c) 12 (d) 9
  6. 6.What is the median of 18, 25, 40, 14 and 10? (a) 18 (b) 40 (c) 25 (d) 14
  7. 7.What is the mean of 6, 5, 4, 8, 3 and 16? (a) 7 (b) 8 (c) 6 (d) 9
  8. 8.What is the mode of 14, 3, 5, 2, 5, 14 and 14? (a) 2 (b) 14 (c) 5 (d) 3
  9. 9.What is the mean of 17, 6, 19, 17, 12 and 7? (a) 12 (b) 15 (c) 14 (d) 13
  10. 10.What is the median of 28, 8, 9, 15, 23, 33 and 32? (a) 15 (b) 28 (c) 23 (d) 24
  11. 11.What is the mode of 13, 10, 5, 19, 10, 19 and 10? (a) 19 (b) 13 (c) 5 (d) 10
  12. 12.What is the mean of 5, 14, 9, 2, 5 and 19? (a) 11 (b) 9 (c) 10 (d) 8
  13. 13.What is the mode of 9, 15, 15, 15, 3, 16 and 16? (a) 16 (b) 3 (c) 15 (d) 9
  14. 14.What is the median of 8, 23, 25, 18 and 27? (a) 18 (b) 25 (c) 24 (d) 23
  15. 15.What is the mean of 3, 17, 15 and 5? (a) 8 (b) 11 (c) 9 (d) 10
  16. 16.What is the median of 21, 30, 13, 2 and 37? (a) 13 (b) 21 (c) 30 (d) 22
  17. 17.What is the mean of 15, 16, 5, 4, 5 and 21? (a) 11 (b) 10 (c) 12 (d) 13
  18. 18.What is the mode of 11, 1, 11, 16, 20, 11 and 20? (a) 20 (b) 11 (c) 16 (d) 1
  19. 19.The mean of 9 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 33 (b) 38 (c) 37 (d) 36
  20. 20.What is the median of 20, 8, 26, 5 and 40? (a) 21 (b) 26 (c) 8 (d) 20
  21. 21.What is the mean of 9, 12, 13, 3, 2 and 9? (a) 7 (b) 9 (c) 8 (d) 10
  22. 22.What is the mode of 10, 7, 10, 7, 3, 10 and 15? (a) 7 (b) 10 (c) 15 (d) 3
  23. 23.What is the median of 11, 29, 36, 27 and 24? (a) 24 (b) 27 (c) 29 (d) 36
  24. 24.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 21 (c) 28 (d) 27
  25. 25.What is the median of 18, 7, 10, 31, 36, 20 and 19? (a) 18 (b) 20 (c) 19 (d) 31
  26. 26.What is the mode of 6, 15, 16, 11, 16, 15 and 15? (a) 11 (b) 16 (c) 15 (d) 6
  27. 27.What is the mean of 17, 13, 4 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  28. 28.What is the mode of 11, 16, 6, 6, 7, 6 and 11? (a) 7 (b) 16 (c) 6 (d) 11
  29. 29.What is the mode of 16, 5, 16, 17, 12, 5 and 5? (a) 16 (b) 17 (c) 12 (d) 5
  30. 30.What is the mean of 16, 17, 11, 17 and 9? (a) 15 (b) 13 (c) 14 (d) 16
  31. 31.The mean of 4 numbers is 26. When the number 41 is added to them, what is the new mean? (a) 26 (b) 29 (c) 28 (d) 30
  32. 32.What is the mean of 7, 10, 13 and 6? (a) 12 (b) 10 (c) 8 (d) 9
  33. 33.What is the mean of 16, 4, 5, 19, 14 and 20? (a) 14 (b) 12 (c) 13 (d) 15
  34. 34.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 18 (b) 17 (c) 15 (d) 16
  35. 35.What is the mean of 6, 17, 5, 10, 6 and 16? (a) 12 (b) 9 (c) 10 (d) 11
  36. 36.What is the mean of 13, 4, 16, 7, 8 and 18? (a) 12 (b) 11 (c) 10 (d) 13
  37. 37.What is the mode of 5, 10, 5, 10, 12, 10 and 17? (a) 12 (b) 5 (c) 17 (d) 10
  38. 38.What is the mode of 8, 8, 6, 6, 11, 6 and 17? (a) 6 (b) 11 (c) 17 (d) 8
  39. 39.What is the mean of 5, 18, 3 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  40. 40.What is the mean of 15, 18, 18, 20, 8 and 11? (a) 18 (b) 16 (c) 15 (d) 14

Answer key

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

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