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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 841 · 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 14, 13, 17 and 20? (a) 17 (b) 18 (c) 16 (d) 15
  2. 2.What is the mean of 12, 8, 13, 5, 20 and 14? (a) 11 (b) 14 (c) 12 (d) 13
  3. 3.What is the mode of 13, 13, 6, 13, 9, 8 and 9? (a) 6 (b) 8 (c) 9 (d) 13
  4. 4.What is the mean of 2, 19, 4 and 15? (a) 8 (b) 10 (c) 9 (d) 11
  5. 5.The mean of 7 numbers is 19. When the number 51 is added to them, what is the new mean? (a) 24 (b) 23 (c) 19 (d) 35
  6. 6.What is the mode of 20, 11, 20, 15, 17, 20 and 17? (a) 11 (b) 20 (c) 15 (d) 17
  7. 7.The mean of 7 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 28 (b) 24 (c) 26 (d) 25
  8. 8.The mean of 3 numbers is 25. When the number 41 is added to them, what is the new mean? (a) 33 (b) 30 (c) 29 (d) 25
  9. 9.What is the mean of 17, 19, 14, 2, 13 and 7? (a) 11 (b) 12 (c) 13 (d) 14
  10. 10.What is the median of 37, 6, 12, 10, 33, 20 and 34? (a) 33 (b) 10 (c) 20 (d) 12
  11. 11.What is the mean of 5, 18, 19 and 14? (a) 15 (b) 16 (c) 14 (d) 13
  12. 12.The mean of 5 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 36 (b) 33 (c) 34 (d) 27
  13. 13.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) 15 (d) 11
  14. 14.What is the mode of 1, 1, 18, 3, 3, 3 and 6? (a) 3 (b) 18 (c) 6 (d) 1
  15. 15.What is the mode of 19, 17, 4, 6, 19, 4 and 19? (a) 6 (b) 19 (c) 17 (d) 4
  16. 16.What is the mode of 17, 17, 10, 6, 10, 17 and 18? (a) 18 (b) 10 (c) 6 (d) 17
  17. 17.What is the mean of 2, 20, 5, 6, 19 and 20? (a) 11 (b) 13 (c) 12 (d) 14
  18. 18.What is the mode of 13, 14, 14, 13, 4, 14 and 18? (a) 18 (b) 4 (c) 13 (d) 14
  19. 19.The mean of 7 numbers is 31. When the number 63 is added to them, what is the new mean? (a) 35 (b) 36 (c) 47 (d) 31
  20. 20.What is the mean of 15, 9, 6, 19 and 21? (a) 15 (b) 16 (c) 14 (d) 13
  21. 21.The mean of 7 numbers is 28. When the number 60 is added to them, what is the new mean? (a) 32 (b) 44 (c) 33 (d) 28
  22. 22.What is the median of 17, 20, 39, 38, 36, 27 and 23? (a) 36 (b) 23 (c) 38 (d) 27
  23. 23.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 26 (b) 30 (c) 16 (d) 27
  24. 24.What is the mean of 16, 2, 18 and 8? (a) 10 (b) 12 (c) 11 (d) 13
  25. 25.What is the mode of 7, 17, 16, 5, 16, 16 and 17? (a) 5 (b) 16 (c) 7 (d) 17
  26. 26.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 19 (b) 15 (c) 20 (d) 27
  27. 27.What is the mode of 6, 5, 6, 13, 5, 3 and 6? (a) 3 (b) 5 (c) 6 (d) 13
  28. 28.What is the mean of 17, 5, 17, 6, 15 and 6? (a) 12 (b) 10 (c) 11 (d) 13
  29. 29.What is the mode of 3, 16, 3, 16, 20, 3 and 7? (a) 20 (b) 3 (c) 16 (d) 7
  30. 30.The mean of 6 numbers is 29. When the number 57 is added to them, what is the new mean? (a) 33 (b) 29 (c) 34 (d) 43
  31. 31.What is the median of 33, 5, 1, 32 and 23? (a) 5 (b) 32 (c) 23 (d) 1
  32. 32.What is the median of 22, 23, 16, 21 and 27? (a) 23 (b) 16 (c) 22 (d) 21
  33. 33.What is the median of 1, 25, 39, 7, 4, 6 and 28? (a) 25 (b) 6 (c) 8 (d) 7
  34. 34.What is the mode of 13, 9, 19, 9, 9, 5 and 5? (a) 13 (b) 9 (c) 19 (d) 5
  35. 35.What is the mean of 4, 8, 20, 3 and 15? (a) 11 (b) 9 (c) 12 (d) 10
  36. 36.What is the mean of 16, 7, 12 and 17? (a) 12 (b) 13 (c) 15 (d) 14
  37. 37.What is the mean of 3, 3, 8, 8, 13 and 13? (a) 9 (b) 8 (c) 7 (d) 10
  38. 38.What is the mode of 17, 1, 18, 17, 20, 17 and 1? (a) 1 (b) 18 (c) 17 (d) 20
  39. 39.What is the mode of 16, 15, 15, 16, 7, 15 and 3? (a) 16 (b) 15 (c) 7 (d) 3
  40. 40.What is the mean of 19, 6, 7, 18 and 10? (a) 13 (b) 10 (c) 12 (d) 15

Answer key

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

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