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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 861 · 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 11, 9, 12 and 20? (a) 12 (b) 14 (c) 15 (d) 13
  2. 2.What is the median of 21, 35, 30, 20 and 39? (a) 30 (b) 35 (c) 29 (d) 21
  3. 3.What is the mode of 6, 7, 9, 9, 6, 12 and 6? (a) 7 (b) 6 (c) 9 (d) 12
  4. 4.What is the mean of 15, 16, 10, 17 and 7? (a) 13 (b) 12 (c) 14 (d) 15
  5. 5.The mean of 3 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 31
  6. 6.What is the mean of 5, 7, 12 and 8? (a) 8 (b) 10 (c) 7 (d) 9
  7. 7.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 16 (b) 20 (c) 17 (d) 14
  8. 8.What is the mean of 14, 4, 17, 6, 2 and 5? (a) 8 (b) 10 (c) 9 (d) 7
  9. 9.What is the mean of 10, 17, 18, 17, 2 and 14? (a) 13 (b) 15 (c) 14 (d) 12
  10. 10.The mean of 5 numbers is 40. When the number 16 is added to them, what is the new mean? (a) 36 (b) 40 (c) 28 (d) 37
  11. 11.What is the median of 19, 38, 18, 8 and 32? (a) 19 (b) 23 (c) 18 (d) 32
  12. 12.What is the median of 1, 29, 15, 35 and 18? (a) 18 (b) 29 (c) 15 (d) 19
  13. 13.The mean of 5 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 16 (b) 13 (c) 10 (d) 12
  14. 14.What is the mode of 4, 13, 5, 12, 13, 12 and 13? (a) 12 (b) 5 (c) 13 (d) 4
  15. 15.What is the median of 8, 21, 6, 36 and 11? (a) 6 (b) 21 (c) 11 (d) 8
  16. 16.What is the mode of 5, 20, 17, 20, 3, 3 and 3? (a) 17 (b) 5 (c) 3 (d) 20
  17. 17.What is the mean of 12, 17, 3 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  18. 18.What is the median of 39, 20, 15, 3 and 7? (a) 16 (b) 7 (c) 20 (d) 15
  19. 19.What is the mean of 10, 6, 9 and 19? (a) 13 (b) 12 (c) 10 (d) 11
  20. 20.What is the median of 22, 12, 35, 26 and 18? (a) 35 (b) 26 (c) 18 (d) 22
  21. 21.What is the median of 21, 37, 14, 26 and 3? (a) 26 (b) 21 (c) 22 (d) 14
  22. 22.What is the median of 27, 8, 9, 39, 38, 36 and 34? (a) 39 (b) 27 (c) 36 (d) 34
  23. 23.What is the median of 1, 4, 34, 27 and 20? (a) 4 (b) 27 (c) 20 (d) 34
  24. 24.What is the mode of 1, 19, 19, 3, 19, 6 and 1? (a) 19 (b) 6 (c) 1 (d) 3
  25. 25.What is the mean of 15, 2, 7 and 20? (a) 11 (b) 13 (c) 10 (d) 12
  26. 26.What is the median of 29, 17, 21, 2, 3, 1 and 34? (a) 2 (b) 3 (c) 21 (d) 17
  27. 27.What is the median of 6, 28, 14, 24 and 33? (a) 24 (b) 21 (c) 14 (d) 28
  28. 28.What is the mean of 19, 4, 4, 11 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  29. 29.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 31 (b) 33 (c) 37 (d) 34
  30. 30.What is the mean of 13, 10, 13, 18, 16 and 20? (a) 15 (b) 14 (c) 18 (d) 16
  31. 31.The mean of 8 numbers is 15. When the number 51 is added to them, what is the new mean? (a) 33 (b) 20 (c) 15 (d) 19
  32. 32.What is the mean of 14, 7, 18 and 17? (a) 13 (b) 14 (c) 15 (d) 16
  33. 33.What is the median of 12, 15, 35, 5, 14, 4 and 39? (a) 5 (b) 15 (c) 14 (d) 12
  34. 34.What is the mode of 5, 11, 3, 1, 11, 5 and 5? (a) 11 (b) 1 (c) 3 (d) 5
  35. 35.What is the median of 39, 6, 13, 33 and 23? (a) 33 (b) 13 (c) 24 (d) 23
  36. 36.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 24 (b) 19 (c) 18 (d) 14
  37. 37.What is the mode of 10, 17, 17, 10, 9, 12 and 17? (a) 12 (b) 10 (c) 9 (d) 17
  38. 38.What is the mode of 6, 18, 14, 8, 14, 14 and 18? (a) 18 (b) 8 (c) 6 (d) 14
  39. 39.What is the median of 11, 21, 20, 34 and 23? (a) 22 (b) 21 (c) 23 (d) 20
  40. 40.What is the mean of 7, 5, 3 and 5? (a) 7 (b) 5 (c) 6 (d) 4

Answer key

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

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