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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 794 · 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 median of 2, 7, 37, 1, 35, 25 and 6? (a) 6 (b) 7 (c) 25 (d) 1
  2. 2.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 14 (b) 18 (c) 16 (d) 17
  3. 3.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 16 (b) 21 (c) 13 (d) 15
  4. 4.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 33
  5. 5.What is the median of 37, 21, 34, 18 and 4? (a) 21 (b) 18 (c) 34 (d) 22
  6. 6.What is the median of 9, 4, 19, 15 and 7? (a) 15 (b) 9 (c) 7 (d) 19
  7. 7.The mean of 3 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 24 (b) 25 (c) 21 (d) 23
  8. 8.What is the mode of 7, 4, 6, 8, 7, 4 and 4? (a) 6 (b) 8 (c) 4 (d) 7
  9. 9.What is the mode of 9, 9, 10, 8, 9, 20 and 20? (a) 20 (b) 10 (c) 8 (d) 9
  10. 10.What is the mode of 1, 9, 1, 1, 9, 8 and 16? (a) 1 (b) 16 (c) 8 (d) 9
  11. 11.The mean of 9 numbers is 16. When the number 46 is added to them, what is the new mean? (a) 31 (b) 16 (c) 19 (d) 20
  12. 12.The mean of 8 numbers is 27. When the number 54 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 29
  13. 13.What is the mean of 17, 11, 16 and 16? (a) 16 (b) 12 (c) 15 (d) 20
  14. 14.What is the median of 37, 5, 38, 34 and 10? (a) 34 (b) 37 (c) 38 (d) 10
  15. 15.What is the median of 26, 16, 13, 18, 29, 17 and 2? (a) 19 (b) 17 (c) 18 (d) 16
  16. 16.What is the mean of 18, 9, 16, 5 and 12? (a) 15 (b) 13 (c) 10 (d) 12
  17. 17.What is the mode of 13, 15, 5, 15, 19, 13 and 15? (a) 5 (b) 15 (c) 13 (d) 19
  18. 18.What is the median of 34, 31, 22, 28, 1, 24 and 12? (a) 28 (b) 22 (c) 25 (d) 24
  19. 19.What is the mode of 13, 17, 11, 5, 17, 13 and 13? (a) 13 (b) 17 (c) 11 (d) 5
  20. 20.What is the mode of 7, 12, 18, 7, 5, 18 and 7? (a) 5 (b) 18 (c) 7 (d) 12
  21. 21.What is the mode of 7, 20, 1, 15, 15, 20 and 20? (a) 20 (b) 7 (c) 1 (d) 15
  22. 22.The mean of 8 numbers is 20. When the number 2 is added to them, what is the new mean? (a) 18 (b) 11 (c) 19 (d) 20
  23. 23.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 30 (b) 31 (c) 33 (d) 32
  24. 24.What is the mean of 18, 5, 11 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  25. 25.What is the median of 7, 11, 9, 5 and 33? (a) 7 (b) 11 (c) 9 (d) 13
  26. 26.What is the mean of 18, 20, 19, 2 and 16? (a) 15 (b) 16 (c) 17 (d) 14
  27. 27.What is the mean of 19, 15, 5, 17 and 19? (a) 14 (b) 15 (c) 17 (d) 16
  28. 28.What is the mean of 14, 9, 8 and 5? (a) 12 (b) 8 (c) 9 (d) 10
  29. 29.The mean of 3 numbers is 31. When the number 39 is added to them, what is the new mean? (a) 31 (b) 34 (c) 33 (d) 35
  30. 30.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 40
  31. 31.What is the mode of 13, 11, 11, 10, 13, 13 and 2? (a) 11 (b) 13 (c) 10 (d) 2
  32. 32.What is the mode of 4, 13, 13, 13, 19, 18 and 18? (a) 18 (b) 13 (c) 19 (d) 4
  33. 33.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 30 (b) 25 (c) 26 (d) 23
  34. 34.What is the mean of 19, 15, 11 and 15? (a) 16 (b) 15 (c) 20 (d) 12
  35. 35.What is the mode of 18, 11, 18, 11, 14, 18 and 13? (a) 11 (b) 14 (c) 18 (d) 13
  36. 36.The mean of 8 numbers is 13. When the number 49 is added to them, what is the new mean? (a) 31 (b) 13 (c) 18 (d) 17
  37. 37.What is the median of 40, 14, 3, 30 and 38? (a) 30 (b) 38 (c) 3 (d) 25
  38. 38.What is the mean of 16, 14, 5 and 21? (a) 15 (b) 16 (c) 14 (d) 13
  39. 39.What is the mode of 13, 3, 3, 8, 18, 13 and 13? (a) 3 (b) 18 (c) 8 (d) 13
  40. 40.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 14

Answer key

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

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