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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 656 · 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.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 29 (b) 37 (c) 25 (d) 28
  2. 2.What is the mean of 7, 5, 17, 3, 4 and 18? (a) 10 (b) 11 (c) 9 (d) 8
  3. 3.What is the mean of 18, 8, 4 and 22? (a) 14 (b) 13 (c) 15 (d) 12
  4. 4.What is the mean of 10, 13, 6, 8, 3 and 8? (a) 9 (b) 10 (c) 7 (d) 8
  5. 5.What is the mean of 15, 18, 9, 15, 20 and 19? (a) 17 (b) 16 (c) 18 (d) 15
  6. 6.What is the mean of 11, 16, 15, 15, 12 and 21? (a) 14 (b) 18 (c) 15 (d) 16
  7. 7.What is the mode of 3, 2, 14, 3, 4, 2 and 2? (a) 2 (b) 3 (c) 14 (d) 4
  8. 8.The mean of 7 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 16 (b) 23 (c) 24 (d) 22
  9. 9.The mean of 7 numbers is 11. When the number 43 is added to them, what is the new mean? (a) 27 (b) 11 (c) 15 (d) 16
  10. 10.What is the median of 20, 17, 10, 5 and 36? (a) 10 (b) 20 (c) 18 (d) 17
  11. 11.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 41 (b) 38 (c) 39 (d) 40
  12. 12.What is the median of 6, 29, 25, 15, 12, 23 and 2? (a) 23 (b) 16 (c) 12 (d) 15
  13. 13.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 15 (b) 17 (c) 14 (d) 16
  14. 14.What is the median of 37, 32, 19, 7, 13, 25 and 22? (a) 7 (b) 22 (c) 19 (d) 25
  15. 15.What is the median of 18, 6, 34, 20 and 24? (a) 34 (b) 18 (c) 20 (d) 24
  16. 16.The mean of 3 numbers is 28. When the number 24 is added to them, what is the new mean? (a) 27 (b) 29 (c) 26 (d) 28
  17. 17.What is the mean of 7, 5, 20, 20 and 3? (a) 11 (b) 12 (c) 13 (d) 10
  18. 18.What is the median of 8, 12, 2, 29, 37, 28 and 22? (a) 22 (b) 28 (c) 29 (d) 12
  19. 19.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 19
  20. 20.What is the median of 18, 12, 25, 24 and 16? (a) 18 (b) 24 (c) 25 (d) 19
  21. 21.What is the mode of 4, 6, 6, 10, 2, 2 and 2? (a) 10 (b) 6 (c) 4 (d) 2
  22. 22.What is the mode of 16, 15, 20, 20, 13, 16 and 20? (a) 16 (b) 13 (c) 20 (d) 15
  23. 23.What is the mean of 13, 13, 19 and 3? (a) 16 (b) 11 (c) 13 (d) 12
  24. 24.What is the mode of 10, 11, 10, 15, 11, 10 and 19? (a) 11 (b) 15 (c) 10 (d) 19
  25. 25.What is the mean of 10, 8, 11, 14 and 22? (a) 13 (b) 15 (c) 12 (d) 14
  26. 26.What is the mean of 4, 15, 6, 5, 16 and 8? (a) 11 (b) 8 (c) 9 (d) 10
  27. 27.The mean of 8 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 14 (b) 21 (c) 23 (d) 22
  28. 28.What is the median of 9, 28, 5, 7, 36, 4 and 14? (a) 14 (b) 10 (c) 9 (d) 7
  29. 29.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 31 (b) 22 (c) 30 (d) 34
  30. 30.What is the mean of 12, 2, 13, 19 and 14? (a) 10 (b) 15 (c) 12 (d) 13
  31. 31.What is the mean of 3, 12, 15, 3 and 22? (a) 12 (b) 10 (c) 13 (d) 11
  32. 32.What is the mean of 12, 18, 4 and 18? (a) 12 (b) 13 (c) 14 (d) 15
  33. 33.What is the mode of 7, 18, 11, 2, 11, 7 and 7? (a) 2 (b) 18 (c) 7 (d) 11
  34. 34.What is the mean of 10, 17, 19 and 10? (a) 13 (b) 14 (c) 15 (d) 16
  35. 35.What is the mean of 16, 2, 4, 2 and 21? (a) 10 (b) 9 (c) 8 (d) 11
  36. 36.What is the mode of 10, 16, 15, 16, 16, 18 and 15? (a) 15 (b) 18 (c) 10 (d) 16
  37. 37.What is the median of 21, 12, 32, 15, 25, 35 and 7? (a) 21 (b) 15 (c) 22 (d) 25
  38. 38.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 38 (c) 40 (d) 39
  39. 39.What is the mean of 20, 10, 8, 5, 15 and 20? (a) 15 (b) 13 (c) 12 (d) 14
  40. 40.What is the median of 12, 8, 35, 5 and 3? (a) 12 (b) 5 (c) 35 (d) 8

Answer key

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

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