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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 664 · 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 5 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 26 (b) 19 (c) 14 (d) 18
  2. 2.What is the mean of 9, 18, 8 and 5? (a) 8 (b) 10 (c) 11 (d) 9
  3. 3.What is the mode of 3, 18, 3, 18, 6, 3 and 16? (a) 16 (b) 3 (c) 18 (d) 6
  4. 4.What is the median of 9, 16, 37, 20 and 11? (a) 11 (b) 16 (c) 37 (d) 20
  5. 5.What is the mean of 16, 9, 15, 2, 11 and 19? (a) 12 (b) 13 (c) 14 (d) 11
  6. 6.What is the mode of 1, 19, 1, 7, 20, 1 and 20? (a) 19 (b) 1 (c) 7 (d) 20
  7. 7.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 41 (b) 46 (c) 36 (d) 40
  8. 8.What is the median of 31, 19, 21, 2 and 6? (a) 19 (b) 20 (c) 21 (d) 6
  9. 9.What is the mode of 20, 16, 16, 11, 4, 20 and 20? (a) 11 (b) 20 (c) 16 (d) 4
  10. 10.What is the mode of 18, 8, 19, 2, 8, 2 and 8? (a) 19 (b) 8 (c) 18 (d) 2
  11. 11.What is the mean of 18, 12, 17, 4, 17 and 16? (a) 15 (b) 12 (c) 13 (d) 14
  12. 12.The mean of 6 numbers is 32. When the number 4 is added to them, what is the new mean? (a) 28 (b) 32 (c) 29 (d) 18
  13. 13.What is the mode of 9, 3, 3, 8, 9, 9 and 20? (a) 20 (b) 8 (c) 9 (d) 3
  14. 14.What is the median of 7, 30, 28, 8 and 13? (a) 14 (b) 8 (c) 28 (d) 13
  15. 15.What is the median of 9, 10, 20, 35 and 6? (a) 10 (b) 9 (c) 20 (d) 16
  16. 16.What is the mean of 18, 17, 2, 9, 10 and 4? (a) 12 (b) 9 (c) 10 (d) 11
  17. 17.What is the mode of 2, 14, 18, 4, 4, 18 and 18? (a) 14 (b) 2 (c) 4 (d) 18
  18. 18.What is the median of 15, 24, 40, 31 and 25? (a) 27 (b) 40 (c) 31 (d) 25
  19. 19.The mean of 3 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 26 (b) 23 (c) 18 (d) 22
  20. 20.What is the median of 30, 8, 5, 25, 35, 22 and 33? (a) 26 (b) 25 (c) 30 (d) 22
  21. 21.What is the median of 27, 4, 12, 24, 5, 17 and 30? (a) 12 (b) 18 (c) 24 (d) 17
  22. 22.What is the median of 27, 36, 23, 37, 18, 28 and 26? (a) 28 (b) 37 (c) 27 (d) 26
  23. 23.What is the mean of 9, 6, 3 and 6? (a) 7 (b) 8 (c) 5 (d) 6
  24. 24.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 12 (b) 13 (c) 10 (d) 11
  25. 25.What is the mean of 2, 20, 14, 15 and 9? (a) 15 (b) 12 (c) 10 (d) 13
  26. 26.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 32 (b) 34 (c) 30 (d) 33
  27. 27.What is the mean of 2, 7, 11 and 12? (a) 7 (b) 10 (c) 8 (d) 9
  28. 28.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 20
  29. 29.What is the mean of 18, 13, 3, 19, 7 and 24? (a) 15 (b) 14 (c) 13 (d) 12
  30. 30.What is the mode of 4, 18, 15, 9, 4, 9 and 9? (a) 4 (b) 15 (c) 9 (d) 18
  31. 31.The mean of 3 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 16 (b) 15 (c) 19 (d) 11
  32. 32.What is the mode of 6, 15, 15, 16, 11, 15 and 11? (a) 16 (b) 6 (c) 11 (d) 15
  33. 33.What is the mean of 3, 20, 8, 13 and 11? (a) 13 (b) 11 (c) 10 (d) 12
  34. 34.The mean of 6 numbers is 10. When the number 3 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 8
  35. 35.What is the median of 5, 17, 32, 2, 19, 20 and 6? (a) 19 (b) 6 (c) 2 (d) 17
  36. 36.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 29 (b) 35 (c) 30 (d) 25
  37. 37.The mean of 3 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 14 (b) 20 (c) 17 (d) 18
  38. 38.What is the median of 19, 24, 2, 34, 39, 10 and 17? (a) 24 (b) 17 (c) 19 (d) 34
  39. 39.What is the median of 17, 3, 16, 35, 36, 5 and 27? (a) 35 (b) 27 (c) 17 (d) 16
  40. 40.What is the mean of 7, 15, 12 and 14? (a) 13 (b) 11 (c) 12 (d) 16

Answer key

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

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