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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 189 · 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 16, 16, 3 and 9? (a) 13 (b) 12 (c) 10 (d) 11
  2. 2.What is the mode of 10, 10, 3, 19, 3, 9 and 10? (a) 3 (b) 19 (c) 9 (d) 10
  3. 3.What is the median of 5, 34, 30, 4, 16, 11 and 33? (a) 30 (b) 19 (c) 16 (d) 4
  4. 4.What is the mode of 9, 20, 2, 4, 20, 4 and 4? (a) 9 (b) 2 (c) 20 (d) 4
  5. 5.What is the mode of 9, 9, 13, 17, 13, 9 and 10? (a) 10 (b) 13 (c) 17 (d) 9
  6. 6.What is the mode of 2, 20, 6, 2, 6, 6 and 13? (a) 20 (b) 2 (c) 13 (d) 6
  7. 7.What is the mode of 5, 1, 5, 1, 18, 1 and 4? (a) 5 (b) 4 (c) 1 (d) 18
  8. 8.The mean of 5 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 27 (b) 35 (c) 39 (d) 36
  9. 9.What is the mean of 3, 16, 5, 18, 4 and 14? (a) 11 (b) 10 (c) 9 (d) 12
  10. 10.What is the mean of 18, 4, 19 and 11? (a) 13 (b) 14 (c) 12 (d) 15
  11. 11.What is the mean of 3, 12, 11, 8 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  12. 12.What is the mode of 16, 9, 10, 9, 10, 9 and 4? (a) 16 (b) 9 (c) 10 (d) 4
  13. 13.What is the median of 6, 5, 10, 15, 40, 21 and 13? (a) 10 (b) 14 (c) 15 (d) 13
  14. 14.What is the mode of 4, 14, 15, 15, 14, 15 and 1? (a) 4 (b) 1 (c) 15 (d) 14
  15. 15.What is the mode of 20, 10, 12, 10, 12, 17 and 12? (a) 12 (b) 10 (c) 17 (d) 20
  16. 16.The mean of 8 numbers is 23. When the number 59 is added to them, what is the new mean? (a) 41 (b) 28 (c) 23 (d) 27
  17. 17.What is the median of 26, 5, 12, 40 and 20? (a) 21 (b) 26 (c) 20 (d) 12
  18. 18.The mean of 9 numbers is 36. When the number 16 is added to them, what is the new mean? (a) 26 (b) 36 (c) 35 (d) 34
  19. 19.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 14
  20. 20.What is the median of 9, 7, 6, 2 and 18? (a) 9 (b) 6 (c) 8 (d) 7
  21. 21.What is the mode of 14, 13, 14, 14, 13, 19 and 1? (a) 13 (b) 19 (c) 14 (d) 1
  22. 22.What is the mode of 9, 15, 9, 1, 20, 9 and 1? (a) 9 (b) 1 (c) 15 (d) 20
  23. 23.What is the median of 14, 21, 2, 29, 15, 25 and 5? (a) 29 (b) 14 (c) 15 (d) 21
  24. 24.What is the median of 38, 18, 12, 7 and 29? (a) 29 (b) 18 (c) 12 (d) 19
  25. 25.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 31 (b) 18 (c) 34 (d) 30
  26. 26.What is the mean of 6, 19, 5, 5, 5 and 20? (a) 11 (b) 10 (c) 9 (d) 12
  27. 27.What is the mean of 9, 18, 4, 13, 2 and 2? (a) 7 (b) 8 (c) 9 (d) 10
  28. 28.What is the mode of 4, 2, 11, 5, 5, 5 and 2? (a) 5 (b) 2 (c) 11 (d) 4
  29. 29.What is the median of 11, 38, 10, 27, 7, 3 and 22? (a) 22 (b) 27 (c) 11 (d) 10
  30. 30.What is the median of 11, 35, 23, 5 and 34? (a) 34 (b) 24 (c) 23 (d) 11
  31. 31.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 35 (b) 34 (c) 33 (d) 31
  32. 32.What is the mean of 7, 19, 15, 4, 14 and 7? (a) 11 (b) 10 (c) 13 (d) 12
  33. 33.What is the mode of 5, 4, 4, 1, 13, 4 and 5? (a) 13 (b) 4 (c) 1 (d) 5
  34. 34.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 35
  35. 35.What is the median of 30, 3, 9, 14, 34, 16 and 8? (a) 14 (b) 9 (c) 16 (d) 15
  36. 36.What is the mean of 5, 7, 15 and 9? (a) 8 (b) 10 (c) 9 (d) 12
  37. 37.What is the mean of 6, 8, 11 and 15? (a) 8 (b) 11 (c) 9 (d) 10
  38. 38.What is the mode of 17, 4, 4, 17, 20, 17 and 5? (a) 17 (b) 4 (c) 20 (d) 5
  39. 39.The mean of 4 numbers is 25. When the number 10 is added to them, what is the new mean? (a) 21 (b) 25 (c) 23 (d) 22
  40. 40.What is the mode of 18, 15, 15, 14, 15, 18 and 1? (a) 15 (b) 14 (c) 18 (d) 1

Answer key

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

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