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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 46 · 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 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 23 (b) 22 (c) 26 (d) 14
  2. 2.What is the mode of 8, 8, 18, 13, 11, 11 and 8? (a) 11 (b) 13 (c) 18 (d) 8
  3. 3.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 19 (b) 18 (c) 16 (d) 20
  4. 4.What is the mode of 6, 2, 16, 3, 16, 16 and 3? (a) 3 (b) 2 (c) 16 (d) 6
  5. 5.What is the median of 11, 8, 17, 6, 7, 37 and 1? (a) 6 (b) 7 (c) 8 (d) 11
  6. 6.What is the mean of 11, 6, 18, 15 and 5? (a) 10 (b) 11 (c) 12 (d) 13
  7. 7.What is the median of 11, 2, 12, 21 and 32? (a) 13 (b) 11 (c) 21 (d) 12
  8. 8.What is the median of 26, 2, 20, 3 and 15? (a) 3 (b) 15 (c) 16 (d) 20
  9. 9.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 23 (b) 22 (c) 25 (d) 24
  10. 10.What is the mean of 9, 9, 8, 8 and 16? (a) 12 (b) 10 (c) 9 (d) 11
  11. 11.What is the median of 36, 4, 1, 21, 6, 17 and 35? (a) 17 (b) 21 (c) 18 (d) 6
  12. 12.What is the mean of 14, 15, 3 and 16? (a) 11 (b) 13 (c) 16 (d) 12
  13. 13.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 30 (c) 29 (d) 32
  14. 14.What is the median of 16, 7, 30, 39 and 5? (a) 17 (b) 30 (c) 7 (d) 16
  15. 15.What is the median of 22, 15, 19, 27 and 1? (a) 15 (b) 20 (c) 22 (d) 19
  16. 16.The mean of 4 numbers is 29. When the number 49 is added to them, what is the new mean? (a) 33 (b) 39 (c) 34 (d) 29
  17. 17.What is the mean of 9, 13, 8, 17 and 18? (a) 14 (b) 13 (c) 15 (d) 12
  18. 18.What is the median of 11, 20, 28, 4 and 34? (a) 21 (b) 20 (c) 28 (d) 11
  19. 19.What is the mean of 16, 4, 7, 18, 9 and 24? (a) 13 (b) 12 (c) 15 (d) 14
  20. 20.What is the mode of 13, 5, 5, 9, 5, 13 and 2? (a) 13 (b) 9 (c) 5 (d) 2
  21. 21.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 17 (b) 14 (c) 15 (d) 16
  22. 22.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 25 (c) 22 (d) 24
  23. 23.What is the mean of 9, 3, 9, 3, 10 and 14? (a) 8 (b) 7 (c) 9 (d) 10
  24. 24.What is the mean of 14, 16, 16 and 6? (a) 12 (b) 15 (c) 13 (d) 14
  25. 25.The mean of 6 numbers is 19. When the number 40 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 23
  26. 26.What is the mean of 19, 11, 12 and 10? (a) 14 (b) 13 (c) 12 (d) 15
  27. 27.What is the mean of 3, 16, 4 and 17? (a) 11 (b) 10 (c) 9 (d) 8
  28. 28.What is the mean of 9, 5, 5, 18, 19 and 22? (a) 13 (b) 15 (c) 12 (d) 14
  29. 29.What is the mode of 5, 3, 13, 4, 13, 13 and 4? (a) 13 (b) 5 (c) 3 (d) 4
  30. 30.What is the mode of 12, 9, 10, 10, 4, 12 and 12? (a) 10 (b) 9 (c) 12 (d) 4
  31. 31.What is the median of 6, 24, 37, 1 and 33? (a) 6 (b) 33 (c) 24 (d) 37
  32. 32.What is the mean of 20, 4, 11 and 5? (a) 9 (b) 8 (c) 11 (d) 10
  33. 33.What is the median of 7, 30, 18, 28, 11, 5 and 19? (a) 18 (b) 19 (c) 11 (d) 28
  34. 34.What is the mode of 20, 5, 18, 5, 8, 20 and 20? (a) 18 (b) 8 (c) 20 (d) 5
  35. 35.What is the mean of 9, 4, 16, 19, 9 and 9? (a) 12 (b) 13 (c) 10 (d) 11
  36. 36.What is the median of 4, 37, 3, 9, 27, 13 and 1? (a) 9 (b) 4 (c) 10 (d) 13
  37. 37.What is the median of 31, 8, 26, 29 and 20? (a) 20 (b) 29 (c) 27 (d) 26
  38. 38.What is the mean of 2, 9, 11, 10 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  39. 39.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 23 (b) 28 (c) 27 (d) 31
  40. 40.What is the median of 18, 8, 37, 32, 13, 11 and 29? (a) 29 (b) 13 (c) 32 (d) 18

Answer key

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

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