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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 390 · 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 mean of 4, 3, 7 and 10? (a) 7 (b) 8 (c) 6 (d) 5
  2. 2.The mean of 4 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 32 (b) 33 (c) 38 (d) 28
  3. 3.What is the median of 22, 13, 40, 39, 31, 17 and 10? (a) 39 (b) 22 (c) 17 (d) 31
  4. 4.What is the mean of 11, 7, 15, 4 and 13? (a) 12 (b) 9 (c) 11 (d) 10
  5. 5.What is the mean of 2, 6, 15, 12, 10 and 9? (a) 11 (b) 8 (c) 10 (d) 9
  6. 6.What is the mode of 15, 15, 1, 4, 6, 15 and 1? (a) 15 (b) 6 (c) 4 (d) 1
  7. 7.The mean of 6 numbers is 35. When the number 49 is added to them, what is the new mean? (a) 42 (b) 35 (c) 38 (d) 37
  8. 8.What is the median of 28, 36, 14, 31 and 24? (a) 28 (b) 24 (c) 14 (d) 31
  9. 9.What is the median of 38, 15, 11, 24 and 16? (a) 24 (b) 11 (c) 15 (d) 16
  10. 10.What is the mean of 13, 5, 5 and 5? (a) 9 (b) 8 (c) 6 (d) 7
  11. 11.What is the mode of 15, 14, 1, 14, 1, 13 and 1? (a) 13 (b) 14 (c) 15 (d) 1
  12. 12.What is the mean of 13, 9, 5, 6 and 7? (a) 8 (b) 9 (c) 10 (d) 7
  13. 13.What is the median of 36, 25, 40, 31, 22, 13 and 38? (a) 32 (b) 36 (c) 25 (d) 31
  14. 14.What is the median of 22, 17, 1, 11 and 12? (a) 17 (b) 1 (c) 11 (d) 12
  15. 15.What is the mean of 20, 17, 4 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  16. 16.What is the mean of 19, 19, 10, 7 and 10? (a) 14 (b) 12 (c) 13 (d) 15
  17. 17.What is the mean of 9, 19, 4, 3, 4 and 9? (a) 9 (b) 10 (c) 7 (d) 8
  18. 18.What is the mean of 13, 14, 17 and 16? (a) 12 (b) 20 (c) 16 (d) 15
  19. 19.What is the mean of 6, 6, 19, 15, 6 and 14? (a) 10 (b) 13 (c) 11 (d) 12
  20. 20.What is the mode of 3, 10, 14, 11, 11, 10 and 11? (a) 10 (b) 11 (c) 3 (d) 14
  21. 21.The mean of 6 numbers is 40. When the number 33 is added to them, what is the new mean? (a) 41 (b) 38 (c) 39 (d) 40
  22. 22.What is the mean of 8, 13, 3 and 12? (a) 10 (b) 12 (c) 9 (d) 8
  23. 23.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 36 (b) 24 (c) 40 (d) 37
  24. 24.The mean of 8 numbers is 17. When the number 53 is added to them, what is the new mean? (a) 17 (b) 21 (c) 35 (d) 22
  25. 25.The mean of 8 numbers is 40. When the number 76 is added to them, what is the new mean? (a) 45 (b) 44 (c) 58 (d) 40
  26. 26.The mean of 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 31
  27. 27.What is the median of 14, 26, 9, 18 and 30? (a) 26 (b) 9 (c) 14 (d) 18
  28. 28.The mean of 3 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 40 (b) 37 (c) 41 (d) 39
  29. 29.What is the median of 1, 26, 35, 32, 2, 22 and 20? (a) 26 (b) 20 (c) 22 (d) 32
  30. 30.What is the median of 6, 26, 3, 12, 15, 27 and 29? (a) 26 (b) 15 (c) 16 (d) 12
  31. 31.What is the mode of 13, 6, 6, 20, 6, 9 and 20? (a) 9 (b) 13 (c) 6 (d) 20
  32. 32.What is the mean of 3, 10, 14 and 17? (a) 12 (b) 13 (c) 10 (d) 11
  33. 33.What is the median of 13, 2, 3, 38 and 5? (a) 6 (b) 3 (c) 13 (d) 5
  34. 34.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 17 (b) 14 (c) 18 (d) 26
  35. 35.What is the mean of 4, 18, 20 and 10? (a) 14 (b) 12 (c) 15 (d) 13
  36. 36.What is the mean of 9, 10, 8, 3, 20 and 16? (a) 12 (b) 11 (c) 13 (d) 10
  37. 37.What is the mean of 6, 13, 20 and 17? (a) 13 (b) 16 (c) 15 (d) 14
  38. 38.What is the median of 36, 10, 14, 2 and 13? (a) 13 (b) 10 (c) 15 (d) 14
  39. 39.What is the median of 6, 30, 2, 20 and 25? (a) 6 (b) 2 (c) 20 (d) 25
  40. 40.What is the mean of 14, 17, 11, 17, 17 and 14? (a) 15 (b) 14 (c) 16 (d) 18

Answer key

  1. 6
  2. 32
  3. 22
  4. 10
  5. 9
  6. 15
  7. 37
  8. 28
  9. 16
  10. 7
  11. 1
  12. 8
  13. 31
  14. 12
  15. 13
  16. 13
  17. 8
  18. 15
  19. 11
  20. 11
  21. 39
  22. 9
  23. 36
  24. 21
  25. 44
  26. 30
  27. 18
  28. 39
  29. 22
  30. 15
  31. 6
  32. 11
  33. 5
  34. 17
  35. 13
  36. 11
  37. 14
  38. 13
  39. 20
  40. 15

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