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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 191 · 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 25. When the number 18 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  2. 2.What is the mode of 20, 16, 8, 20, 20, 2 and 2? (a) 16 (b) 2 (c) 8 (d) 20
  3. 3.The mean of 5 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 21 (b) 28 (c) 16 (d) 20
  4. 4.What is the mode of 15, 5, 2, 2, 5, 2 and 7? (a) 5 (b) 2 (c) 7 (d) 15
  5. 5.What is the median of 36, 26, 16, 6 and 4? (a) 26 (b) 17 (c) 16 (d) 6
  6. 6.What is the median of 17, 2, 12, 9 and 23? (a) 17 (b) 12 (c) 13 (d) 9
  7. 7.What is the median of 22, 17, 23, 11, 16, 2 and 20? (a) 17 (b) 20 (c) 11 (d) 16
  8. 8.What is the mean of 20, 15, 19, 18 and 8? (a) 17 (b) 15 (c) 20 (d) 16
  9. 9.What is the mode of 8, 15, 7, 7, 15, 2 and 7? (a) 15 (b) 7 (c) 2 (d) 8
  10. 10.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 26
  11. 11.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 40
  12. 12.What is the mean of 10, 15, 13, 9 and 13? (a) 15 (b) 13 (c) 10 (d) 12
  13. 13.What is the mode of 19, 14, 14, 3, 12, 12 and 14? (a) 19 (b) 12 (c) 3 (d) 14
  14. 14.The mean of 7 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 20
  15. 15.What is the mode of 10, 7, 15, 12, 12, 15 and 12? (a) 15 (b) 10 (c) 7 (d) 12
  16. 16.The mean of 8 numbers is 12. When the number 39 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 12
  17. 17.What is the mode of 9, 18, 9, 5, 19, 5 and 9? (a) 9 (b) 18 (c) 19 (d) 5
  18. 18.What is the mode of 7, 1, 7, 2, 1, 17 and 7? (a) 2 (b) 7 (c) 1 (d) 17
  19. 19.The mean of 4 numbers is 35. When the number 55 is added to them, what is the new mean? (a) 40 (b) 45 (c) 39 (d) 35
  20. 20.What is the median of 5, 3, 2, 1, 33, 19 and 40? (a) 19 (b) 1 (c) 3 (d) 5
  21. 21.What is the mean of 6, 6, 6 and 6? (a) 7 (b) 6 (c) 8 (d) 5
  22. 22.What is the median of 31, 6, 28, 10 and 30? (a) 30 (b) 10 (c) 21 (d) 28
  23. 23.What is the median of 3, 30, 26, 22, 39, 21 and 15? (a) 21 (b) 22 (c) 26 (d) 23
  24. 24.What is the mean of 15, 13, 6 and 6? (a) 8 (b) 10 (c) 9 (d) 11
  25. 25.What is the mean of 5, 13, 9 and 21? (a) 12 (b) 16 (c) 13 (d) 11
  26. 26.What is the mean of 7, 3, 6, 17 and 17? (a) 9 (b) 11 (c) 10 (d) 12
  27. 27.What is the mean of 5, 15, 14 and 18? (a) 14 (b) 12 (c) 15 (d) 13
  28. 28.The mean of 6 numbers is 30. When the number 51 is added to them, what is the new mean? (a) 30 (b) 33 (c) 32 (d) 34
  29. 29.What is the mode of 1, 18, 17, 17, 18, 18 and 8? (a) 18 (b) 1 (c) 17 (d) 8
  30. 30.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 17 (b) 16 (c) 14 (d) 15
  31. 31.What is the mode of 9, 10, 9, 9, 12, 5 and 10? (a) 5 (b) 9 (c) 10 (d) 12
  32. 32.What is the mean of 10, 7, 15, 17, 16 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  33. 33.What is the mean of 5, 16, 20, 18, 20 and 5? (a) 15 (b) 12 (c) 13 (d) 14
  34. 34.What is the mode of 13, 11, 11, 15, 11, 4 and 13? (a) 15 (b) 4 (c) 13 (d) 11
  35. 35.What is the mean of 12, 6, 16, 9 and 12? (a) 11 (b) 13 (c) 12 (d) 10
  36. 36.What is the mean of 5, 9, 11, 13, 13 and 3? (a) 8 (b) 9 (c) 11 (d) 10
  37. 37.What is the mean of 5, 4, 11, 8 and 12? (a) 10 (b) 8 (c) 9 (d) 7
  38. 38.What is the mean of 4, 9, 19 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  39. 39.What is the median of 34, 3, 10, 32 and 4? (a) 4 (b) 10 (c) 11 (d) 32
  40. 40.The mean of 6 numbers is 31. When the number 45 is added to them, what is the new mean? (a) 31 (b) 38 (c) 34 (d) 33

Answer key

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

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