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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 329 · 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 29, 17, 27, 8 and 39? (a) 24 (b) 27 (c) 29 (d) 17
  2. 2.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 25
  3. 3.The mean of 5 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 17 (b) 15 (c) 21 (d) 18
  4. 4.What is the mode of 8, 18, 8, 20, 18, 4 and 18? (a) 4 (b) 8 (c) 20 (d) 18
  5. 5.What is the mode of 15, 16, 9, 15, 15, 1 and 9? (a) 1 (b) 16 (c) 9 (d) 15
  6. 6.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 32 (b) 30 (c) 28 (d) 31
  7. 7.What is the mean of 16, 3, 6, 16, 18 and 7? (a) 11 (b) 10 (c) 12 (d) 13
  8. 8.What is the mode of 17, 6, 6, 6, 3, 3 and 9? (a) 17 (b) 9 (c) 3 (d) 6
  9. 9.The mean of 5 numbers is 40. When the number 46 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 40
  10. 10.What is the mean of 18, 15, 17, 17, 14 and 9? (a) 14 (b) 18 (c) 15 (d) 16
  11. 11.What is the mean of 2, 16, 7, 3, 3 and 5? (a) 7 (b) 8 (c) 6 (d) 5
  12. 12.What is the mode of 5, 4, 5, 19, 4, 4 and 3? (a) 19 (b) 3 (c) 4 (d) 5
  13. 13.What is the mode of 3, 1, 3, 4, 3, 6 and 6? (a) 3 (b) 6 (c) 4 (d) 1
  14. 14.What is the mode of 7, 13, 20, 7, 20, 11 and 20? (a) 7 (b) 13 (c) 11 (d) 20
  15. 15.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  16. 16.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 37 (b) 35 (c) 39 (d) 36
  17. 17.The mean of 9 numbers is 19. When the number 49 is added to them, what is the new mean? (a) 22 (b) 34 (c) 23 (d) 19
  18. 18.What is the median of 19, 37, 14, 31, 27, 9 and 26? (a) 19 (b) 27 (c) 31 (d) 26
  19. 19.What is the median of 32, 13, 28, 35 and 14? (a) 29 (b) 28 (c) 14 (d) 32
  20. 20.What is the mode of 2, 2, 7, 2, 6, 7 and 13? (a) 6 (b) 2 (c) 13 (d) 7
  21. 21.What is the median of 19, 32, 38, 8 and 14? (a) 32 (b) 19 (c) 38 (d) 14
  22. 22.What is the mean of 17, 19, 5 and 3? (a) 10 (b) 13 (c) 11 (d) 12
  23. 23.What is the median of 4, 32, 38, 5, 19, 31 and 11? (a) 20 (b) 31 (c) 5 (d) 19
  24. 24.The mean of 7 numbers is 15. When the number 47 is added to them, what is the new mean? (a) 31 (b) 15 (c) 19 (d) 20
  25. 25.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 13 (b) 16 (c) 14 (d) 15
  26. 26.What is the mean of 20, 3, 4, 2, 19 and 6? (a) 11 (b) 8 (c) 10 (d) 9
  27. 27.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 29 (b) 27 (c) 34 (d) 30
  28. 28.What is the mode of 20, 16, 20, 5, 16, 20 and 17? (a) 17 (b) 5 (c) 20 (d) 16
  29. 29.What is the median of 37, 18, 38, 25 and 28? (a) 28 (b) 25 (c) 38 (d) 37
  30. 30.What is the median of 40, 24, 16, 1 and 27? (a) 16 (b) 27 (c) 25 (d) 24
  31. 31.What is the mean of 2, 12, 14 and 16? (a) 10 (b) 11 (c) 13 (d) 12
  32. 32.What is the mode of 11, 14, 4, 11, 11, 14 and 3? (a) 14 (b) 3 (c) 4 (d) 11
  33. 33.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 42 (b) 39 (c) 34 (d) 38
  34. 34.What is the mean of 18, 5, 17 and 8? (a) 12 (b) 11 (c) 16 (d) 13
  35. 35.What is the mode of 13, 3, 13, 13, 3, 17 and 8? (a) 3 (b) 17 (c) 8 (d) 13
  36. 36.What is the median of 26, 5, 17, 39, 16, 10 and 35? (a) 16 (b) 26 (c) 17 (d) 39
  37. 37.What is the mean of 19, 19, 12 and 6? (a) 15 (b) 13 (c) 16 (d) 14
  38. 38.What is the median of 7, 37, 17, 2, 27, 10 and 1? (a) 2 (b) 10 (c) 17 (d) 7
  39. 39.The mean of 3 numbers is 30. When the number 22 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 30
  40. 40.What is the mode of 6, 17, 6, 8, 8, 1 and 8? (a) 17 (b) 8 (c) 1 (d) 6

Answer key

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

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