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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 751 · 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 20, 15, 11, 19 and 1? (a) 15 (b) 11 (c) 16 (d) 19
  2. 2.The mean of 7 numbers is 35. When the number 67 is added to them, what is the new mean? (a) 40 (b) 51 (c) 35 (d) 39
  3. 3.The mean of 6 numbers is 39. When the number 25 is added to them, what is the new mean? (a) 32 (b) 38 (c) 39 (d) 37
  4. 4.What is the mean of 14, 12, 12, 18, 17 and 23? (a) 15 (b) 16 (c) 18 (d) 17
  5. 5.What is the median of 19, 8, 24, 31, 32, 14 and 37? (a) 19 (b) 25 (c) 31 (d) 24
  6. 6.What is the mode of 18, 19, 19, 4, 17, 18 and 18? (a) 19 (b) 18 (c) 17 (d) 4
  7. 7.What is the mean of 12, 15, 8, 7, 5 and 19? (a) 12 (b) 13 (c) 10 (d) 11
  8. 8.What is the median of 18, 9, 30, 7 and 23? (a) 18 (b) 23 (c) 9 (d) 30
  9. 9.What is the mode of 5, 5, 13, 1, 13, 9 and 13? (a) 9 (b) 1 (c) 13 (d) 5
  10. 10.What is the mean of 13, 19, 4, 17 and 17? (a) 13 (b) 14 (c) 16 (d) 15
  11. 11.What is the mean of 6, 2, 3, 16 and 23? (a) 12 (b) 9 (c) 11 (d) 10
  12. 12.What is the median of 6, 29, 16, 19 and 35? (a) 16 (b) 19 (c) 21 (d) 29
  13. 13.The mean of 3 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 28 (b) 25 (c) 27 (d) 29
  14. 14.What is the mean of 15, 18, 10 and 9? (a) 15 (b) 12 (c) 14 (d) 13
  15. 15.What is the median of 21, 37, 35, 20, 33, 3 and 7? (a) 21 (b) 22 (c) 33 (d) 20
  16. 16.What is the mean of 16, 2, 8, 14 and 15? (a) 13 (b) 12 (c) 11 (d) 10
  17. 17.The mean of 8 numbers is 31. When the number 22 is added to them, what is the new mean? (a) 32 (b) 29 (c) 31 (d) 30
  18. 18.What is the mode of 17, 16, 16, 16, 9, 9 and 3? (a) 9 (b) 17 (c) 16 (d) 3
  19. 19.The mean of 4 numbers is 21. When the number 1 is added to them, what is the new mean? (a) 21 (b) 11 (c) 18 (d) 17
  20. 20.What is the median of 6, 8, 2, 7, 39, 24 and 1? (a) 8 (b) 6 (c) 9 (d) 7
  21. 21.The mean of 6 numbers is 28. When the number 42 is added to them, what is the new mean? (a) 31 (b) 30 (c) 28 (d) 35
  22. 22.The mean of 6 numbers is 19. When the number 47 is added to them, what is the new mean? (a) 19 (b) 24 (c) 33 (d) 23
  23. 23.What is the median of 26, 9, 14, 33, 31, 24 and 30? (a) 26 (b) 30 (c) 33 (d) 24
  24. 24.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 28 (b) 27 (c) 24 (d) 26
  25. 25.What is the mode of 17, 4, 17, 6, 3, 3 and 3? (a) 6 (b) 17 (c) 4 (d) 3
  26. 26.The mean of 5 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 42 (b) 46 (c) 40 (d) 43
  27. 27.What is the median of 13, 19, 3, 9, 1, 35 and 34? (a) 19 (b) 9 (c) 14 (d) 13
  28. 28.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 39 (b) 48 (c) 42 (d) 43
  29. 29.What is the mean of 15, 13, 13 and 7? (a) 16 (b) 11 (c) 12 (d) 13
  30. 30.What is the mean of 6, 2, 3, 15, 2 and 20? (a) 10 (b) 9 (c) 8 (d) 7
  31. 31.The mean of 5 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 24 (b) 19 (c) 25 (d) 23
  32. 32.What is the mean of 6, 2, 5, 4, 20 and 23? (a) 9 (b) 11 (c) 12 (d) 10
  33. 33.What is the mode of 1, 1, 5, 1, 19, 5 and 4? (a) 5 (b) 4 (c) 19 (d) 1
  34. 34.The mean of 8 numbers is 32. When the number 41 is added to them, what is the new mean? (a) 35 (b) 32 (c) 33 (d) 34
  35. 35.What is the mean of 14, 17, 17 and 12? (a) 12 (b) 16 (c) 20 (d) 15
  36. 36.What is the median of 21, 7, 1, 22, 5, 20 and 24? (a) 7 (b) 20 (c) 22 (d) 21
  37. 37.What is the median of 13, 34, 23, 37 and 24? (a) 34 (b) 25 (c) 23 (d) 24
  38. 38.What is the mode of 2, 4, 2, 19, 4, 4 and 7? (a) 4 (b) 2 (c) 7 (d) 19
  39. 39.What is the mean of 4, 20, 18, 2, 18 and 4? (a) 13 (b) 11 (c) 10 (d) 12
  40. 40.What is the mode of 5, 3, 8, 5, 5, 9 and 3? (a) 5 (b) 8 (c) 3 (d) 9

Answer key

  1. 15
  2. 39
  3. 37
  4. 16
  5. 24
  6. 18
  7. 11
  8. 18
  9. 13
  10. 14
  11. 10
  12. 19
  13. 27
  14. 13
  15. 21
  16. 11
  17. 30
  18. 16
  19. 17
  20. 7
  21. 30
  22. 23
  23. 26
  24. 27
  25. 3
  26. 42
  27. 13
  28. 42
  29. 12
  30. 8
  31. 23
  32. 10
  33. 1
  34. 33
  35. 15
  36. 20
  37. 24
  38. 4
  39. 11
  40. 5

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