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Mean Median Mode Worksheet for Maths Olympiad

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

Answer key

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

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