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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 892 · 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 mode of 7, 5, 7, 4, 13, 5 and 5? (a) 5 (b) 13 (c) 7 (d) 4
  2. 2.The mean of 7 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 15 (b) 23 (c) 22 (d) 21
  3. 3.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 40
  4. 4.What is the median of 38, 22, 36, 21, 3, 29 and 24? (a) 24 (b) 21 (c) 29 (d) 22
  5. 5.What is the median of 18, 8, 6, 7, 9, 5 and 39? (a) 9 (b) 8 (c) 7 (d) 10
  6. 6.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 15
  7. 7.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 12 (b) 9 (c) 14 (d) 13
  8. 8.The mean of 5 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 37 (b) 35 (c) 36 (d) 31
  9. 9.What is the mode of 1, 3, 11, 1, 1, 4 and 4? (a) 4 (b) 11 (c) 3 (d) 1
  10. 10.What is the mean of 17, 19, 13, 11, 18 and 6? (a) 15 (b) 13 (c) 12 (d) 14
  11. 11.The mean of 3 numbers is 22. When the number 18 is added to them, what is the new mean? (a) 21 (b) 20 (c) 23 (d) 22
  12. 12.What is the mean of 9, 4, 6 and 9? (a) 6 (b) 8 (c) 7 (d) 9
  13. 13.What is the median of 38, 19, 15, 29, 4, 17 and 10? (a) 19 (b) 15 (c) 29 (d) 17
  14. 14.What is the median of 14, 30, 2, 33 and 19? (a) 19 (b) 2 (c) 30 (d) 14
  15. 15.What is the median of 14, 2, 39, 38 and 30? (a) 14 (b) 30 (c) 38 (d) 39
  16. 16.What is the mode of 16, 13, 16, 18, 13, 4 and 13? (a) 4 (b) 16 (c) 18 (d) 13
  17. 17.What is the mode of 4, 5, 5, 11, 4, 2 and 4? (a) 5 (b) 4 (c) 2 (d) 11
  18. 18.What is the median of 26, 2, 39, 18 and 36? (a) 26 (b) 39 (c) 18 (d) 36
  19. 19.What is the mean of 16, 18, 7, 16 and 13? (a) 14 (b) 13 (c) 15 (d) 16
  20. 20.What is the mean of 14, 15, 18, 12 and 11? (a) 16 (b) 13 (c) 14 (d) 15
  21. 21.What is the mean of 9, 5, 3 and 7? (a) 8 (b) 7 (c) 6 (d) 5
  22. 22.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 12 (b) 16 (c) 17 (d) 18
  23. 23.What is the mode of 1, 16, 6, 10, 10, 6 and 6? (a) 6 (b) 16 (c) 1 (d) 10
  24. 24.What is the mean of 11, 15, 7 and 15? (a) 11 (b) 13 (c) 12 (d) 16
  25. 25.What is the mode of 1, 19, 1, 17, 19, 10 and 19? (a) 17 (b) 10 (c) 19 (d) 1
  26. 26.What is the mean of 20, 6, 5, 13 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  27. 27.What is the mode of 13, 15, 15, 16, 13, 15 and 5? (a) 13 (b) 16 (c) 15 (d) 5
  28. 28.What is the median of 6, 20, 35, 37, 16, 18 and 17? (a) 17 (b) 20 (c) 18 (d) 37
  29. 29.What is the mean of 3, 9, 4 and 12? (a) 6 (b) 8 (c) 9 (d) 7
  30. 30.The mean of 7 numbers is 33. When the number 65 is added to them, what is the new mean? (a) 49 (b) 38 (c) 37 (d) 33
  31. 31.What is the mean of 9, 8, 19, 16, 3 and 11? (a) 10 (b) 12 (c) 13 (d) 11
  32. 32.What is the mean of 9, 8, 10, 15, 12 and 18? (a) 14 (b) 12 (c) 13 (d) 11
  33. 33.What is the mean of 6, 3, 15 and 20? (a) 10 (b) 12 (c) 11 (d) 13
  34. 34.What is the mode of 8, 8, 18, 4, 16, 4 and 8? (a) 4 (b) 8 (c) 16 (d) 18
  35. 35.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 17 (b) 18 (c) 20 (d) 14
  36. 36.The mean of 8 numbers is 15. When the number 42 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 15
  37. 37.What is the mode of 6, 6, 2, 6, 17, 20 and 20? (a) 20 (b) 2 (c) 17 (d) 6
  38. 38.What is the mode of 14, 4, 7, 5, 14, 14 and 5? (a) 4 (b) 5 (c) 14 (d) 7
  39. 39.The mean of 8 numbers is 40. When the number 76 is added to them, what is the new mean? (a) 45 (b) 58 (c) 40 (d) 44
  40. 40.The mean of 3 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 38 (b) 34 (c) 40 (d) 37

Answer key

  1. 5
  2. 21
  3. 38
  4. 24
  5. 8
  6. 12
  7. 13
  8. 35
  9. 1
  10. 14
  11. 21
  12. 7
  13. 17
  14. 19
  15. 30
  16. 13
  17. 4
  18. 26
  19. 14
  20. 14
  21. 6
  22. 16
  23. 6
  24. 12
  25. 19
  26. 13
  27. 15
  28. 18
  29. 7
  30. 37
  31. 11
  32. 12
  33. 11
  34. 8
  35. 17
  36. 18
  37. 6
  38. 14
  39. 44
  40. 37

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