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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 324 · 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 8, 15, 15, 12, 12, 16 and 12? (a) 15 (b) 16 (c) 8 (d) 12
  2. 2.What is the mean of 12, 6, 3, 13 and 11? (a) 11 (b) 10 (c) 8 (d) 9
  3. 3.What is the mean of 17, 17, 15 and 15? (a) 18 (b) 16 (c) 17 (d) 15
  4. 4.What is the mode of 11, 6, 11, 16, 6, 5 and 11? (a) 16 (b) 11 (c) 6 (d) 5
  5. 5.What is the mode of 13, 1, 13, 7, 11, 1 and 1? (a) 1 (b) 11 (c) 13 (d) 7
  6. 6.What is the mean of 20, 6, 13, 16, 16 and 13? (a) 13 (b) 12 (c) 14 (d) 15
  7. 7.The mean of 9 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 25 (b) 18 (c) 17 (d) 15
  8. 8.What is the median of 34, 4, 16, 39, 12, 15 and 38? (a) 34 (b) 15 (c) 16 (d) 39
  9. 9.What is the mode of 7, 4, 1, 17, 1, 1 and 17? (a) 17 (b) 4 (c) 7 (d) 1
  10. 10.The mean of 4 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 16 (b) 21 (c) 26 (d) 20
  11. 11.What is the median of 1, 13, 15, 31 and 28? (a) 16 (b) 13 (c) 28 (d) 15
  12. 12.What is the mean of 8, 4, 15 and 21? (a) 13 (b) 11 (c) 16 (d) 12
  13. 13.What is the mode of 14, 7, 11, 14, 12, 14 and 7? (a) 14 (b) 11 (c) 12 (d) 7
  14. 14.What is the mode of 6, 20, 20, 20, 17, 15 and 15? (a) 17 (b) 15 (c) 6 (d) 20
  15. 15.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 18
  16. 16.What is the mean of 11, 12, 2 and 15? (a) 9 (b) 11 (c) 10 (d) 8
  17. 17.What is the mode of 6, 6, 12, 6, 11, 1 and 12? (a) 11 (b) 6 (c) 12 (d) 1
  18. 18.What is the median of 7, 1, 10, 8, 5, 26 and 19? (a) 7 (b) 8 (c) 9 (d) 10
  19. 19.The mean of 4 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 42 (b) 43 (c) 45 (d) 40
  20. 20.What is the mode of 5, 9, 9, 10, 10, 10 and 17? (a) 9 (b) 5 (c) 17 (d) 10
  21. 21.What is the median of 39, 3, 29, 2 and 38? (a) 29 (b) 30 (c) 3 (d) 38
  22. 22.What is the mean of 7, 6, 20, 16, 14 and 9? (a) 13 (b) 11 (c) 14 (d) 12
  23. 23.What is the mode of 16, 2, 9, 2, 9, 13 and 9? (a) 16 (b) 13 (c) 2 (d) 9
  24. 24.The mean of 8 numbers is 37. When the number 1 is added to them, what is the new mean? (a) 19 (b) 34 (c) 33 (d) 37
  25. 25.What is the median of 32, 33, 5, 34 and 13? (a) 5 (b) 33 (c) 32 (d) 13
  26. 26.What is the median of 27, 26, 16, 4, 40, 29 and 5? (a) 4 (b) 27 (c) 26 (d) 21
  27. 27.What is the median of 34, 29, 8, 31 and 24? (a) 31 (b) 24 (c) 8 (d) 29
  28. 28.What is the median of 2, 38, 9, 33 and 30? (a) 33 (b) 9 (c) 30 (d) 31
  29. 29.What is the mode of 20, 20, 4, 4, 2, 8 and 20? (a) 4 (b) 2 (c) 8 (d) 20
  30. 30.What is the median of 5, 39, 21, 20, 19, 38 and 40? (a) 26 (b) 20 (c) 38 (d) 21
  31. 31.What is the mode of 15, 3, 15, 5, 5, 5 and 20? (a) 3 (b) 5 (c) 20 (d) 15
  32. 32.What is the mean of 15, 2, 14 and 13? (a) 13 (b) 10 (c) 12 (d) 11
  33. 33.What is the median of 27, 29, 24, 21 and 16? (a) 21 (b) 27 (c) 24 (d) 25
  34. 34.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 12
  35. 35.What is the median of 39, 23, 22, 11 and 30? (a) 22 (b) 25 (c) 30 (d) 23
  36. 36.What is the median of 24, 34, 33, 25 and 22? (a) 26 (b) 25 (c) 24 (d) 33
  37. 37.What is the mean of 6, 18, 13, 3 and 20? (a) 13 (b) 12 (c) 15 (d) 10
  38. 38.What is the mean of 16, 4, 14 and 14? (a) 12 (b) 16 (c) 11 (d) 13
  39. 39.What is the mean of 4, 17, 17 and 18? (a) 15 (b) 16 (c) 14 (d) 13
  40. 40.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 35 (b) 39 (c) 40 (d) 43

Answer key

  1. 12
  2. 9
  3. 16
  4. 11
  5. 1
  6. 14
  7. 17
  8. 16
  9. 1
  10. 20
  11. 15
  12. 12
  13. 14
  14. 20
  15. 19
  16. 10
  17. 6
  18. 8
  19. 42
  20. 10
  21. 29
  22. 12
  23. 9
  24. 33
  25. 32
  26. 26
  27. 29
  28. 30
  29. 20
  30. 21
  31. 5
  32. 11
  33. 24
  34. 13
  35. 23
  36. 25
  37. 12
  38. 12
  39. 14
  40. 39

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