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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 64 · 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 6, 12, 12, 14 and 11? (a) 13 (b) 10 (c) 12 (d) 11
  2. 2.What is the mean of 6, 8, 16, 8 and 22? (a) 12 (b) 15 (c) 10 (d) 13
  3. 3.What is the mode of 2, 6, 7, 2, 6, 2 and 14? (a) 7 (b) 14 (c) 2 (d) 6
  4. 4.What is the mean of 4, 4, 7, 12, 17 and 4? (a) 7 (b) 8 (c) 9 (d) 10
  5. 5.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 19 (b) 16 (c) 17 (d) 18
  6. 6.What is the median of 21, 37, 25, 23 and 8? (a) 23 (b) 25 (c) 21 (d) 24
  7. 7.What is the median of 3, 39, 10, 15, 11, 40 and 31? (a) 11 (b) 31 (c) 16 (d) 15
  8. 8.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 33 (b) 29 (c) 37 (d) 34
  9. 9.What is the mode of 7, 7, 17, 17, 17, 16 and 6? (a) 6 (b) 17 (c) 16 (d) 7
  10. 10.What is the median of 1, 10, 5, 20 and 39? (a) 20 (b) 5 (c) 15 (d) 10
  11. 11.The mean of 8 numbers is 26. When the number 17 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 27
  12. 12.What is the mode of 19, 9, 5, 9, 19, 7 and 19? (a) 19 (b) 5 (c) 7 (d) 9
  13. 13.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 11 (b) 10 (c) 13 (d) 12
  14. 14.What is the median of 21, 30, 19, 26 and 14? (a) 21 (b) 22 (c) 26 (d) 19
  15. 15.What is the median of 7, 4, 33, 3, 10, 39 and 9? (a) 3 (b) 10 (c) 9 (d) 15
  16. 16.What is the median of 17, 39, 31, 27 and 36? (a) 30 (b) 36 (c) 31 (d) 27
  17. 17.What is the mean of 6, 5, 11, 16, 6 and 10? (a) 11 (b) 10 (c) 8 (d) 9
  18. 18.What is the mean of 16, 19, 3, 11, 8 and 9? (a) 13 (b) 11 (c) 10 (d) 12
  19. 19.The mean of 6 numbers is 16. When the number 23 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 19
  20. 20.What is the mode of 8, 1, 11, 11, 11, 8 and 9? (a) 11 (b) 9 (c) 1 (d) 8
  21. 21.What is the median of 4, 37, 23, 36 and 12? (a) 36 (b) 23 (c) 24 (d) 12
  22. 22.What is the median of 2, 4, 28, 26 and 31? (a) 4 (b) 28 (c) 27 (d) 26
  23. 23.What is the mean of 13, 8, 15 and 8? (a) 12 (b) 11 (c) 13 (d) 10
  24. 24.What is the median of 30, 3, 25, 6 and 11? (a) 15 (b) 11 (c) 6 (d) 25
  25. 25.What is the mean of 3, 13, 3, 10 and 11? (a) 8 (b) 10 (c) 9 (d) 7
  26. 26.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 34 (b) 25 (c) 35 (d) 37
  27. 27.What is the median of 5, 23, 22, 25 and 20? (a) 23 (b) 20 (c) 19 (d) 22
  28. 28.The mean of 6 numbers is 29. When the number 36 is added to them, what is the new mean? (a) 29 (b) 30 (c) 32 (d) 31
  29. 29.What is the median of 1, 10, 26, 36, 23, 18 and 16? (a) 23 (b) 36 (c) 16 (d) 18
  30. 30.The mean of 6 numbers is 33. When the number 47 is added to them, what is the new mean? (a) 35 (b) 33 (c) 36 (d) 40
  31. 31.What is the mode of 16, 9, 7, 16, 12, 12 and 16? (a) 9 (b) 7 (c) 12 (d) 16
  32. 32.What is the mode of 1, 5, 5, 14, 14, 2 and 14? (a) 5 (b) 2 (c) 1 (d) 14
  33. 33.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 43 (b) 40 (c) 42 (d) 44
  34. 34.The mean of 4 numbers is 40. When the number 55 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 44
  35. 35.The mean of 6 numbers is 40. When the number 12 is added to them, what is the new mean? (a) 40 (b) 37 (c) 26 (d) 36
  36. 36.What is the median of 12, 23, 9, 26, 38, 37 and 36? (a) 36 (b) 27 (c) 23 (d) 26
  37. 37.What is the median of 15, 30, 23, 20 and 31? (a) 24 (b) 20 (c) 23 (d) 30
  38. 38.What is the mean of 2, 5, 19 and 6? (a) 9 (b) 7 (c) 8 (d) 10
  39. 39.What is the mode of 15, 18, 15, 3, 3, 15 and 16? (a) 3 (b) 18 (c) 16 (d) 15
  40. 40.What is the mode of 3, 9, 13, 3, 13, 5 and 3? (a) 9 (b) 13 (c) 3 (d) 5

Answer key

  1. 11
  2. 12
  3. 2
  4. 8
  5. 17
  6. 23
  7. 15
  8. 33
  9. 17
  10. 10
  11. 25
  12. 19
  13. 11
  14. 21
  15. 9
  16. 31
  17. 9
  18. 11
  19. 17
  20. 11
  21. 23
  22. 26
  23. 11
  24. 11
  25. 8
  26. 34
  27. 22
  28. 30
  29. 18
  30. 35
  31. 16
  32. 14
  33. 42
  34. 43
  35. 36
  36. 26
  37. 23
  38. 8
  39. 15
  40. 3

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