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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 80 · 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 18, 20, 2, 20, 18, 6 and 18? (a) 20 (b) 18 (c) 2 (d) 6
  2. 2.What is the mode of 4, 6, 5, 8, 8, 8 and 5? (a) 8 (b) 4 (c) 5 (d) 6
  3. 3.The mean of 7 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 11 (c) 12 (d) 13
  4. 4.What is the mode of 10, 3, 15, 15, 19, 19 and 15? (a) 19 (b) 3 (c) 10 (d) 15
  5. 5.The mean of 8 numbers is 11. When the number 20 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 14
  6. 6.What is the median of 22, 24, 36, 17, 31, 39 and 19? (a) 24 (b) 17 (c) 31 (d) 22
  7. 7.What is the median of 11, 29, 24, 16 and 30? (a) 29 (b) 24 (c) 16 (d) 22
  8. 8.What is the mode of 3, 4, 12, 17, 4, 12 and 12? (a) 3 (b) 17 (c) 12 (d) 4
  9. 9.What is the mode of 6, 6, 2, 5, 5, 5 and 18? (a) 2 (b) 18 (c) 5 (d) 6
  10. 10.What is the mean of 17, 10, 14, 5 and 19? (a) 14 (b) 12 (c) 15 (d) 13
  11. 11.What is the median of 40, 25, 39, 10 and 7? (a) 25 (b) 26 (c) 10 (d) 39
  12. 12.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 27 (b) 23 (c) 25 (d) 24
  13. 13.What is the mode of 2, 12, 2, 12, 2, 10 and 8? (a) 8 (b) 2 (c) 10 (d) 12
  14. 14.What is the mode of 6, 3, 3, 13, 11, 13 and 3? (a) 13 (b) 3 (c) 11 (d) 6
  15. 15.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 14 (b) 15 (c) 16 (d) 13
  16. 16.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 32 (b) 33 (c) 34 (d) 30
  17. 17.What is the median of 40, 35, 27, 4 and 29? (a) 29 (b) 35 (c) 30 (d) 27
  18. 18.The mean of 4 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 22 (b) 18 (c) 28 (d) 23
  19. 19.What is the median of 30, 31, 23, 2, 5, 10 and 11? (a) 16 (b) 11 (c) 23 (d) 2
  20. 20.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 11 (b) 15 (c) 25 (d) 16
  21. 21.What is the mean of 13, 3, 13, 18 and 8? (a) 13 (b) 12 (c) 10 (d) 11
  22. 22.What is the median of 14, 19, 20, 8, 26, 33 and 40? (a) 8 (b) 19 (c) 26 (d) 20
  23. 23.What is the median of 14, 19, 10, 37 and 20? (a) 20 (b) 14 (c) 19 (d) 10
  24. 24.The mean of 8 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 32 (b) 33 (c) 31 (d) 24
  25. 25.What is the median of 19, 31, 34, 5 and 2? (a) 5 (b) 19 (c) 31 (d) 34
  26. 26.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 17 (b) 18 (c) 23 (d) 13
  27. 27.What is the mean of 2, 2, 16, 7 and 8? (a) 8 (b) 7 (c) 6 (d) 9
  28. 28.The mean of 6 numbers is 31. When the number 3 is added to them, what is the new mean? (a) 31 (b) 28 (c) 17 (d) 27
  29. 29.What is the mode of 13, 7, 13, 13, 15, 17 and 7? (a) 15 (b) 7 (c) 17 (d) 13
  30. 30.What is the mode of 6, 6, 14, 11, 7, 11 and 6? (a) 6 (b) 7 (c) 11 (d) 14
  31. 31.What is the median of 30, 16, 19, 15, 2, 21 and 32? (a) 21 (b) 19 (c) 15 (d) 16
  32. 32.The mean of 9 numbers is 22. When the number 42 is added to them, what is the new mean? (a) 32 (b) 25 (c) 22 (d) 24
  33. 33.What is the mode of 9, 20, 11, 3, 9, 3 and 3? (a) 9 (b) 11 (c) 3 (d) 20
  34. 34.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 13 (b) 18 (c) 29 (d) 17
  35. 35.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 9 (b) 8 (c) 10 (d) 6
  36. 36.What is the mean of 12, 5, 14, 5 and 14? (a) 11 (b) 10 (c) 12 (d) 9
  37. 37.What is the mean of 7, 2, 11, 10 and 20? (a) 11 (b) 9 (c) 10 (d) 12
  38. 38.What is the mode of 9, 6, 2, 2, 2, 9 and 14? (a) 2 (b) 14 (c) 9 (d) 6
  39. 39.What is the mode of 13, 8, 8, 7, 13, 13 and 16? (a) 7 (b) 8 (c) 16 (d) 13
  40. 40.The mean of 6 numbers is 38. When the number 66 is added to them, what is the new mean? (a) 38 (b) 42 (c) 52 (d) 43

Answer key

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

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