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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 122 · 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 6, 15, 6, 1, 6, 14 and 1? (a) 1 (b) 6 (c) 15 (d) 14
  2. 2.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 29 (c) 28 (d) 22
  3. 3.What is the mode of 18, 16, 7, 7, 7, 6 and 18? (a) 16 (b) 7 (c) 18 (d) 6
  4. 4.What is the mean of 7, 8, 16 and 9? (a) 8 (b) 9 (c) 10 (d) 11
  5. 5.What is the mean of 5, 5, 4 and 10? (a) 7 (b) 5 (c) 8 (d) 6
  6. 6.What is the mean of 6, 8, 10, 18 and 18? (a) 10 (b) 15 (c) 13 (d) 12
  7. 7.What is the mode of 9, 19, 6, 9, 11, 6 and 6? (a) 11 (b) 9 (c) 19 (d) 6
  8. 8.What is the mean of 7, 13, 15 and 21? (a) 13 (b) 16 (c) 15 (d) 14
  9. 9.What is the mean of 11, 4, 4 and 17? (a) 10 (b) 12 (c) 8 (d) 9
  10. 10.The mean of 8 numbers is 38. When the number 29 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 39
  11. 11.What is the mean of 15, 12, 20, 2, 19 and 10? (a) 14 (b) 15 (c) 13 (d) 12
  12. 12.What is the median of 20, 2, 38, 36 and 8? (a) 38 (b) 8 (c) 36 (d) 20
  13. 13.What is the mean of 20, 5, 10, 4, 8 and 19? (a) 12 (b) 11 (c) 10 (d) 13
  14. 14.What is the median of 31, 38, 19, 15 and 24? (a) 19 (b) 31 (c) 24 (d) 25
  15. 15.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 38 (b) 39 (c) 41 (d) 40
  16. 16.The mean of 3 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 12 (b) 8 (c) 11 (d) 10
  17. 17.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 23
  18. 18.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 33 (b) 43 (c) 36 (d) 35
  19. 19.What is the median of 31, 19, 29, 33 and 22? (a) 31 (b) 22 (c) 30 (d) 29
  20. 20.What is the mode of 8, 3, 11, 18, 8, 18 and 18? (a) 18 (b) 11 (c) 8 (d) 3
  21. 21.What is the mean of 2, 2, 10, 3, 5 and 20? (a) 7 (b) 6 (c) 9 (d) 8
  22. 22.What is the median of 33, 26, 16, 7 and 2? (a) 16 (b) 7 (c) 17 (d) 26
  23. 23.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 20 (b) 22 (c) 19 (d) 17
  24. 24.What is the median of 6, 13, 18, 40 and 26? (a) 26 (b) 19 (c) 18 (d) 13
  25. 25.What is the median of 26, 5, 14, 38, 34, 23 and 11? (a) 26 (b) 14 (c) 23 (d) 38
  26. 26.What is the mode of 11, 2, 13, 13, 16, 13 and 2? (a) 16 (b) 13 (c) 2 (d) 11
  27. 27.The mean of 3 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 19 (b) 16 (c) 15 (d) 11
  28. 28.What is the mode of 1, 2, 2, 1, 3, 19 and 2? (a) 3 (b) 19 (c) 1 (d) 2
  29. 29.What is the mean of 10, 4, 6, 8 and 7? (a) 9 (b) 8 (c) 6 (d) 7
  30. 30.What is the mode of 10, 5, 19, 5, 10, 14 and 5? (a) 19 (b) 10 (c) 14 (d) 5
  31. 31.What is the mean of 5, 19, 5 and 19? (a) 16 (b) 11 (c) 13 (d) 12
  32. 32.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 29 (b) 13 (c) 18 (d) 17
  33. 33.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 14 (b) 19 (c) 22 (d) 18
  34. 34.The mean of 9 numbers is 35. When the number 5 is added to them, what is the new mean? (a) 33 (b) 20 (c) 35 (d) 32
  35. 35.The mean of 5 numbers is 39. When the number 27 is added to them, what is the new mean? (a) 33 (b) 37 (c) 38 (d) 39
  36. 36.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
  37. 37.The mean of 7 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 29 (b) 27 (c) 31 (d) 28
  38. 38.What is the mean of 10, 12, 16, 16 and 11? (a) 14 (b) 15 (c) 12 (d) 13
  39. 39.The mean of 3 numbers is 27. When the number 11 is added to them, what is the new mean? (a) 19 (b) 24 (c) 23 (d) 27
  40. 40.What is the mean of 20, 16, 3, 2, 8 and 17? (a) 11 (b) 12 (c) 10 (d) 13

Answer key

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

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