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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 160 · 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 8 numbers is 11. When the number 38 is added to them, what is the new mean? (a) 11 (b) 14 (c) 15 (d) 13
  2. 2.The mean of 5 numbers is 24. When the number 6 is added to them, what is the new mean? (a) 22 (b) 15 (c) 21 (d) 24
  3. 3.What is the mean of 4, 6, 19 and 11? (a) 8 (b) 10 (c) 11 (d) 9
  4. 4.What is the mean of 19, 16, 9, 6, 10 and 24? (a) 15 (b) 12 (c) 14 (d) 13
  5. 5.What is the mode of 5, 16, 16, 16, 13, 13 and 15? (a) 13 (b) 5 (c) 15 (d) 16
  6. 6.What is the median of 12, 9, 33, 23 and 17? (a) 33 (b) 17 (c) 23 (d) 12
  7. 7.What is the median of 6, 36, 1, 12 and 22? (a) 22 (b) 12 (c) 1 (d) 6
  8. 8.What is the median of 11, 2, 28, 14, 38, 19 and 33? (a) 28 (b) 14 (c) 19 (d) 20
  9. 9.What is the median of 37, 12, 25, 39, 2, 31 and 10? (a) 39 (b) 25 (c) 31 (d) 12
  10. 10.What is the mode of 19, 19, 15, 15, 12, 19 and 1? (a) 12 (b) 15 (c) 19 (d) 1
  11. 11.The mean of 7 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 26
  12. 12.What is the median of 15, 9, 17, 4, 1, 40 and 26? (a) 16 (b) 4 (c) 17 (d) 15
  13. 13.What is the median of 37, 8, 24, 7, 15, 10 and 23? (a) 15 (b) 10 (c) 7 (d) 23
  14. 14.What is the mode of 14, 16, 5, 4, 5, 16 and 5? (a) 5 (b) 16 (c) 4 (d) 14
  15. 15.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 37
  16. 16.What is the mean of 16, 7, 2, 17, 12 and 12? (a) 10 (b) 11 (c) 13 (d) 12
  17. 17.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 14 (b) 12 (c) 11 (d) 13
  18. 18.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 33 (b) 32 (c) 35 (d) 34
  19. 19.What is the mean of 20, 4, 11, 7, 6 and 6? (a) 8 (b) 10 (c) 11 (d) 9
  20. 20.What is the median of 28, 2, 17, 32 and 16? (a) 28 (b) 17 (c) 16 (d) 19
  21. 21.The mean of 5 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 27 (b) 28 (c) 35 (d) 23
  22. 22.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 22 (b) 27 (c) 25 (d) 26
  23. 23.What is the median of 4, 33, 13, 20 and 30? (a) 20 (b) 21 (c) 30 (d) 13
  24. 24.What is the mode of 20, 6, 20, 15, 20, 2 and 15? (a) 2 (b) 20 (c) 6 (d) 15
  25. 25.What is the mode of 6, 9, 6, 10, 10, 3 and 10? (a) 3 (b) 10 (c) 9 (d) 6
  26. 26.What is the mean of 3, 5, 9 and 7? (a) 8 (b) 7 (c) 6 (d) 5
  27. 27.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 34 (b) 35 (c) 31 (d) 33
  28. 28.What is the median of 5, 7, 33, 9 and 8? (a) 9 (b) 7 (c) 33 (d) 8
  29. 29.What is the mode of 14, 14, 18, 18, 14, 17 and 1? (a) 1 (b) 14 (c) 18 (d) 17
  30. 30.What is the mean of 12, 4, 5 and 15? (a) 12 (b) 10 (c) 8 (d) 9
  31. 31.What is the mean of 11, 7, 11, 9 and 17? (a) 11 (b) 13 (c) 10 (d) 12
  32. 32.What is the median of 7, 1, 33, 11, 6, 23 and 4? (a) 11 (b) 8 (c) 7 (d) 6
  33. 33.What is the mean of 4, 6, 17 and 9? (a) 8 (b) 9 (c) 12 (d) 10
  34. 34.What is the mode of 16, 19, 4, 4, 16, 16 and 17? (a) 17 (b) 19 (c) 16 (d) 4
  35. 35.What is the mean of 14, 9, 18, 7, 10 and 20? (a) 12 (b) 15 (c) 13 (d) 14
  36. 36.What is the mean of 16, 14, 16, 12, 3 and 23? (a) 14 (b) 13 (c) 15 (d) 12
  37. 37.What is the mode of 8, 4, 8, 17, 8, 4 and 9? (a) 9 (b) 4 (c) 17 (d) 8
  38. 38.What is the mean of 8, 12, 11, 6 and 8? (a) 8 (b) 10 (c) 11 (d) 9
  39. 39.What is the mean of 2, 20, 13 and 21? (a) 14 (b) 16 (c) 15 (d) 13
  40. 40.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 37 (b) 42 (c) 40 (d) 39

Answer key

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

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