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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 4 · 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 2, 6, 15, 16, 15, 6 and 15? (a) 15 (b) 2 (c) 16 (d) 6
  2. 2.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 32 (b) 29 (c) 20 (d) 30
  3. 3.What is the mode of 9, 10, 17, 17, 9, 14 and 17? (a) 14 (b) 17 (c) 9 (d) 10
  4. 4.What is the mode of 12, 11, 4, 4, 15, 11 and 4? (a) 4 (b) 11 (c) 15 (d) 12
  5. 5.What is the mean of 9, 7, 10, 2, 13 and 19? (a) 11 (b) 10 (c) 12 (d) 9
  6. 6.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 30
  7. 7.What is the median of 36, 22, 4, 25 and 18? (a) 25 (b) 21 (c) 22 (d) 4
  8. 8.What is the mean of 6, 13, 9, 6 and 16? (a) 11 (b) 12 (c) 10 (d) 9
  9. 9.What is the mean of 7, 16, 17, 19, 4 and 15? (a) 13 (b) 14 (c) 12 (d) 15
  10. 10.What is the mode of 18, 4, 14, 16, 16, 18 and 18? (a) 4 (b) 14 (c) 16 (d) 18
  11. 11.What is the median of 23, 38, 9, 26, 1, 3 and 39? (a) 24 (b) 23 (c) 9 (d) 26
  12. 12.What is the mean of 2, 8, 3, 12 and 5? (a) 8 (b) 7 (c) 6 (d) 5
  13. 13.The mean of 9 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 46 (b) 36 (c) 39 (d) 38
  14. 14.What is the mean of 4, 13, 18, 11 and 24? (a) 13 (b) 15 (c) 14 (d) 16
  15. 15.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 34 (b) 37 (c) 36 (d) 35
  16. 16.What is the median of 4, 20, 19, 10 and 6? (a) 11 (b) 6 (c) 10 (d) 19
  17. 17.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 18
  18. 18.What is the mean of 12, 17, 7, 15, 13 and 8? (a) 12 (b) 14 (c) 11 (d) 13
  19. 19.The mean of 6 numbers is 17. When the number 3 is added to them, what is the new mean? (a) 16 (b) 10 (c) 17 (d) 15
  20. 20.What is the mean of 17, 15, 15 and 9? (a) 15 (b) 13 (c) 16 (d) 14
  21. 21.What is the median of 12, 29, 34, 40 and 28? (a) 28 (b) 29 (c) 34 (d) 30
  22. 22.What is the mean of 17, 18, 17, 9 and 9? (a) 13 (b) 16 (c) 15 (d) 14
  23. 23.What is the mode of 3, 4, 9, 4, 3, 11 and 4? (a) 9 (b) 4 (c) 3 (d) 11
  24. 24.What is the mode of 8, 4, 19, 4, 12, 4 and 19? (a) 8 (b) 4 (c) 12 (d) 19
  25. 25.What is the median of 29, 5, 19, 1, 8, 2 and 20? (a) 12 (b) 8 (c) 19 (d) 1
  26. 26.The mean of 6 numbers is 36. When the number 57 is added to them, what is the new mean? (a) 40 (b) 38 (c) 39 (d) 36
  27. 27.The mean of 3 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 16 (b) 18 (c) 15 (d) 12
  28. 28.What is the mean of 4, 11, 15, 2, 20 and 8? (a) 9 (b) 11 (c) 10 (d) 12
  29. 29.What is the mean of 2, 17, 10, 4 and 12? (a) 8 (b) 11 (c) 10 (d) 9
  30. 30.What is the mean of 14, 14, 8, 6 and 18? (a) 13 (b) 10 (c) 12 (d) 15
  31. 31.What is the median of 7, 15, 21, 13 and 30? (a) 16 (b) 13 (c) 15 (d) 21
  32. 32.What is the mode of 6, 4, 16, 15, 6, 6 and 4? (a) 15 (b) 16 (c) 4 (d) 6
  33. 33.What is the mean of 10, 2, 19 and 13? (a) 10 (b) 11 (c) 12 (d) 13
  34. 34.What is the mean of 2, 5, 16, 15 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  35. 35.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 22 (b) 24 (c) 21 (d) 23
  36. 36.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 19
  37. 37.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 13
  38. 38.What is the mean of 14, 15, 4 and 3? (a) 8 (b) 10 (c) 9 (d) 12
  39. 39.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 14 (b) 9 (c) 15 (d) 16
  40. 40.What is the mean of 9, 14, 17 and 16? (a) 15 (b) 13 (c) 16 (d) 14

Answer key

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

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