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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 380 · 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 8, 14, 5 and 9? (a) 9 (b) 8 (c) 12 (d) 10
  2. 2.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 31 (b) 26 (c) 33 (d) 32
  3. 3.What is the median of 19, 7, 37, 36, 14, 10 and 8? (a) 14 (b) 19 (c) 36 (d) 10
  4. 4.What is the median of 25, 11, 9, 35 and 15? (a) 9 (b) 15 (c) 19 (d) 25
  5. 5.The mean of 3 numbers is 34. When the number 42 is added to them, what is the new mean? (a) 37 (b) 34 (c) 38 (d) 36
  6. 6.What is the mean of 7, 3, 11, 8, 5 and 14? (a) 10 (b) 7 (c) 8 (d) 9
  7. 7.What is the mode of 1, 3, 16, 11, 3, 11 and 11? (a) 3 (b) 16 (c) 11 (d) 1
  8. 8.What is the mean of 10, 7, 8, 7 and 3? (a) 9 (b) 6 (c) 8 (d) 7
  9. 9.What is the mode of 13, 5, 20, 5, 1, 13 and 13? (a) 20 (b) 1 (c) 13 (d) 5
  10. 10.What is the median of 33, 31, 17, 39 and 25? (a) 31 (b) 33 (c) 17 (d) 29
  11. 11.What is the mean of 17, 8, 19, 8, 18 and 8? (a) 13 (b) 14 (c) 15 (d) 12
  12. 12.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 32 (b) 31 (c) 30 (d) 27
  13. 13.What is the mean of 3, 10, 17, 7 and 18? (a) 11 (b) 10 (c) 13 (d) 12
  14. 14.What is the median of 26, 22, 16, 36 and 28? (a) 28 (b) 16 (c) 26 (d) 22
  15. 15.What is the mean of 4, 16, 20, 4, 14 and 20? (a) 12 (b) 14 (c) 15 (d) 13
  16. 16.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 36 (b) 37 (c) 38 (d) 39
  17. 17.What is the mean of 10, 17, 7, 16, 2 and 8? (a) 9 (b) 12 (c) 11 (d) 10
  18. 18.The mean of 5 numbers is 32. When the number 14 is added to them, what is the new mean? (a) 32 (b) 30 (c) 29 (d) 23
  19. 19.What is the mean of 8, 20, 3, 15 and 4? (a) 11 (b) 12 (c) 10 (d) 9
  20. 20.What is the mean of 17, 10, 15, 13 and 20? (a) 14 (b) 17 (c) 15 (d) 16
  21. 21.What is the mode of 3, 9, 11, 8, 8, 3 and 8? (a) 9 (b) 8 (c) 3 (d) 11
  22. 22.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 30
  23. 23.The mean of 8 numbers is 18. When the number 54 is added to them, what is the new mean? (a) 36 (b) 23 (c) 18 (d) 22
  24. 24.What is the mode of 8, 5, 5, 9, 5, 18 and 9? (a) 9 (b) 18 (c) 5 (d) 8
  25. 25.What is the mode of 16, 16, 14, 9, 8, 16 and 9? (a) 14 (b) 8 (c) 9 (d) 16
  26. 26.What is the median of 8, 28, 15, 22 and 19? (a) 15 (b) 20 (c) 22 (d) 19
  27. 27.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 20 (b) 27 (c) 19 (d) 17
  28. 28.What is the mode of 9, 20, 20, 9, 17, 8 and 9? (a) 17 (b) 8 (c) 9 (d) 20
  29. 29.The mean of 5 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 38 (b) 34 (c) 35 (d) 26
  30. 30.What is the mean of 11, 17, 2 and 6? (a) 10 (b) 8 (c) 9 (d) 12
  31. 31.What is the median of 27, 40, 3, 37 and 13? (a) 37 (b) 3 (c) 24 (d) 27
  32. 32.What is the mode of 10, 7, 9, 7, 7, 4 and 4? (a) 10 (b) 4 (c) 7 (d) 9
  33. 33.What is the mean of 20, 15, 11, 14 and 5? (a) 13 (b) 14 (c) 15 (d) 12
  34. 34.What is the mode of 14, 13, 9, 9, 9, 10 and 10? (a) 10 (b) 14 (c) 13 (d) 9
  35. 35.What is the mean of 18, 2, 18, 5 and 22? (a) 12 (b) 14 (c) 13 (d) 15
  36. 36.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 26
  37. 37.What is the mean of 2, 9, 11, 3, 18 and 11? (a) 8 (b) 10 (c) 11 (d) 9
  38. 38.What is the median of 3, 7, 1, 38 and 4? (a) 3 (b) 7 (c) 1 (d) 4
  39. 39.What is the median of 38, 15, 28, 25 and 22? (a) 25 (b) 22 (c) 28 (d) 26
  40. 40.What is the median of 15, 32, 27, 36 and 23? (a) 28 (b) 27 (c) 23 (d) 32

Answer key

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

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