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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 503 · 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 mean of 3, 11, 16 and 18? (a) 13 (b) 16 (c) 12 (d) 11
  2. 2.What is the mean of 15, 7, 8 and 14? (a) 11 (b) 12 (c) 10 (d) 13
  3. 3.What is the median of 29, 8, 24, 30, 6, 25 and 18? (a) 20 (b) 25 (c) 24 (d) 30
  4. 4.The mean of 3 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 35 (b) 31 (c) 27 (d) 32
  5. 5.The mean of 8 numbers is 19. When the number 46 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 19
  6. 6.What is the median of 24, 21, 37, 35, 10, 16 and 27? (a) 21 (b) 27 (c) 35 (d) 24
  7. 7.What is the median of 9, 22, 2, 38 and 12? (a) 9 (b) 2 (c) 12 (d) 22
  8. 8.What is the mode of 15, 14, 15, 14, 14, 11 and 13? (a) 15 (b) 13 (c) 14 (d) 11
  9. 9.What is the median of 13, 8, 39, 22 and 31? (a) 22 (b) 39 (c) 13 (d) 31
  10. 10.What is the median of 9, 34, 32, 33, 36, 30 and 26? (a) 30 (b) 32 (c) 31 (d) 33
  11. 11.What is the mean of 4, 6, 13, 19, 10 and 8? (a) 12 (b) 11 (c) 10 (d) 9
  12. 12.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 23 (b) 33 (c) 37 (d) 34
  13. 13.What is the median of 29, 12, 7, 30 and 10? (a) 7 (b) 12 (c) 29 (d) 10
  14. 14.What is the mode of 2, 2, 16, 14, 18, 2 and 16? (a) 16 (b) 2 (c) 18 (d) 14
  15. 15.What is the mean of 14, 3, 13 and 6? (a) 9 (b) 8 (c) 12 (d) 10
  16. 16.What is the median of 2, 22, 5, 27, 37, 10 and 34? (a) 27 (b) 22 (c) 23 (d) 10
  17. 17.What is the mean of 18, 5, 17 and 12? (a) 12 (b) 15 (c) 14 (d) 13
  18. 18.What is the median of 17, 8, 36, 29 and 12? (a) 29 (b) 36 (c) 12 (d) 17
  19. 19.What is the median of 30, 11, 21, 38, 24, 27 and 29? (a) 29 (b) 24 (c) 27 (d) 38
  20. 20.What is the median of 14, 25, 5, 10 and 30? (a) 25 (b) 10 (c) 5 (d) 14
  21. 21.What is the mean of 15, 10, 19, 14, 6 and 8? (a) 13 (b) 12 (c) 11 (d) 14
  22. 22.What is the mode of 19, 6, 8, 19, 1, 8 and 19? (a) 19 (b) 8 (c) 6 (d) 1
  23. 23.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 37 (c) 39 (d) 34
  24. 24.What is the median of 32, 25, 17, 31, 40, 7 and 27? (a) 27 (b) 31 (c) 28 (d) 25
  25. 25.What is the mode of 2, 15, 15, 3, 15, 14 and 14? (a) 2 (b) 3 (c) 15 (d) 14
  26. 26.What is the median of 33, 5, 12, 26 and 40? (a) 12 (b) 26 (c) 27 (d) 33
  27. 27.What is the mode of 13, 13, 7, 14, 7, 8 and 7? (a) 7 (b) 8 (c) 14 (d) 13
  28. 28.What is the median of 22, 7, 24, 12, 28, 11 and 14? (a) 22 (b) 15 (c) 14 (d) 12
  29. 29.What is the mean of 7, 4, 19, 5, 20 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  30. 30.The mean of 4 numbers is 22. When the number 7 is added to them, what is the new mean? (a) 22 (b) 18 (c) 19 (d) 20
  31. 31.What is the mode of 8, 13, 2, 9, 9, 13 and 13? (a) 9 (b) 8 (c) 13 (d) 2
  32. 32.The mean of 7 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 20 (c) 19 (d) 18
  33. 33.What is the mode of 16, 15, 19, 7, 15, 16 and 15? (a) 19 (b) 7 (c) 16 (d) 15
  34. 34.The mean of 6 numbers is 36. When the number 15 is added to them, what is the new mean? (a) 36 (b) 32 (c) 34 (d) 33
  35. 35.The mean of 7 numbers is 27. When the number 3 is added to them, what is the new mean? (a) 25 (b) 24 (c) 15 (d) 27
  36. 36.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 33 (b) 36 (c) 32 (d) 34
  37. 37.What is the median of 22, 33, 13, 31, 5, 34 and 18? (a) 31 (b) 18 (c) 23 (d) 22
  38. 38.What is the median of 19, 25, 3, 31, 33, 7 and 21? (a) 25 (b) 19 (c) 21 (d) 31
  39. 39.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 14 (b) 12 (c) 15 (d) 13
  40. 40.What is the mean of 11, 15, 14 and 16? (a) 14 (b) 13 (c) 16 (d) 15

Answer key

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

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