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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 870 · 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 5, 14, 5, 6, 4 and 14? (a) 8 (b) 10 (c) 7 (d) 9
  2. 2.What is the mode of 3, 3, 7, 7, 3, 20 and 1? (a) 3 (b) 20 (c) 1 (d) 7
  3. 3.What is the median of 20, 18, 28, 23 and 9? (a) 18 (b) 28 (c) 23 (d) 20
  4. 4.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 9 (b) 13 (c) 15 (d) 14
  5. 5.What is the median of 6, 5, 40, 23 and 13? (a) 23 (b) 13 (c) 6 (d) 40
  6. 6.The mean of 3 numbers is 37. When the number 53 is added to them, what is the new mean? (a) 41 (b) 45 (c) 37 (d) 42
  7. 7.What is the median of 37, 6, 11, 20 and 15? (a) 15 (b) 20 (c) 11 (d) 16
  8. 8.What is the median of 25, 34, 5, 10 and 14? (a) 5 (b) 10 (c) 25 (d) 14
  9. 9.What is the mode of 15, 15, 14, 15, 1, 18 and 18? (a) 14 (b) 18 (c) 15 (d) 1
  10. 10.The mean of 5 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 22 (b) 18 (c) 21 (d) 27
  11. 11.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 18 (b) 21 (c) 11 (d) 17
  12. 12.What is the mode of 1, 4, 12, 1, 6, 1 and 12? (a) 4 (b) 6 (c) 12 (d) 1
  13. 13.What is the mode of 20, 2, 18, 20, 15, 15 and 15? (a) 18 (b) 2 (c) 15 (d) 20
  14. 14.What is the mean of 16, 7, 17 and 8? (a) 12 (b) 13 (c) 11 (d) 16
  15. 15.What is the median of 7, 32, 27, 23 and 24? (a) 24 (b) 23 (c) 27 (d) 25
  16. 16.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 24 (b) 16 (c) 20 (d) 21
  17. 17.What is the median of 33, 5, 22, 28 and 1? (a) 5 (b) 23 (c) 22 (d) 28
  18. 18.What is the median of 9, 3, 18, 39 and 5? (a) 5 (b) 10 (c) 9 (d) 18
  19. 19.What is the median of 15, 12, 32, 8 and 24? (a) 32 (b) 15 (c) 24 (d) 12
  20. 20.What is the mean of 5, 14, 16, 8, 6 and 5? (a) 10 (b) 11 (c) 8 (d) 9
  21. 21.What is the mean of 5, 17, 17 and 13? (a) 12 (b) 15 (c) 13 (d) 14
  22. 22.What is the median of 26, 16, 6, 25, 3, 18 and 2? (a) 6 (b) 18 (c) 16 (d) 25
  23. 23.The mean of 6 numbers is 40. When the number 19 is added to them, what is the new mean? (a) 37 (b) 38 (c) 40 (d) 36
  24. 24.What is the mean of 12, 3, 3, 7, 7 and 22? (a) 9 (b) 8 (c) 11 (d) 10
  25. 25.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 13 (b) 14 (c) 15 (d) 12
  26. 26.What is the median of 26, 36, 33, 30, 29, 6 and 13? (a) 28 (b) 30 (c) 26 (d) 29
  27. 27.What is the mean of 9, 16, 9, 7, 5 and 14? (a) 11 (b) 9 (c) 10 (d) 12
  28. 28.What is the median of 39, 2, 26, 3 and 12? (a) 12 (b) 26 (c) 3 (d) 13
  29. 29.What is the median of 40, 10, 4, 36 and 20? (a) 36 (b) 4 (c) 20 (d) 22
  30. 30.The mean of 4 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 31 (b) 34 (c) 32 (d) 29
  31. 31.What is the median of 35, 27, 36, 22, 28, 38 and 14? (a) 28 (b) 22 (c) 27 (d) 35
  32. 32.What is the mode of 5, 20, 2, 2, 2, 13 and 5? (a) 20 (b) 5 (c) 2 (d) 13
  33. 33.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) 11 (d) 15
  34. 34.What is the mode of 11, 18, 12, 14, 14, 12 and 14? (a) 14 (b) 11 (c) 12 (d) 18
  35. 35.What is the mode of 7, 8, 5, 8, 6, 8 and 5? (a) 5 (b) 6 (c) 7 (d) 8
  36. 36.The mean of 3 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 10
  37. 37.What is the mean of 10, 10, 8 and 8? (a) 9 (b) 10 (c) 8 (d) 12
  38. 38.What is the mode of 19, 13, 7, 4, 7, 7 and 4? (a) 13 (b) 7 (c) 19 (d) 4
  39. 39.What is the median of 16, 33, 19, 37, 40, 4 and 38? (a) 37 (b) 19 (c) 34 (d) 33
  40. 40.The mean of 4 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 15 (b) 25 (c) 21 (d) 22

Answer key

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

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