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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 11 · 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 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 33 (b) 32 (c) 36 (d) 34
  2. 2.What is the mean of 2, 6, 8 and 12? (a) 6 (b) 9 (c) 8 (d) 7
  3. 3.What is the mode of 12, 4, 4, 4, 11, 11 and 8? (a) 12 (b) 8 (c) 4 (d) 11
  4. 4.What is the mode of 12, 12, 4, 16, 12, 4 and 8? (a) 12 (b) 4 (c) 8 (d) 16
  5. 5.The mean of 4 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 15 (b) 12 (c) 14 (d) 17
  6. 6.What is the mean of 15, 5, 8 and 8? (a) 10 (b) 12 (c) 9 (d) 8
  7. 7.What is the mode of 16, 16, 17, 16, 17, 2 and 15? (a) 2 (b) 16 (c) 17 (d) 15
  8. 8.What is the mode of 3, 16, 1, 1, 16, 16 and 9? (a) 1 (b) 16 (c) 9 (d) 3
  9. 9.What is the median of 1, 9, 24, 5, 22, 38 and 34? (a) 19 (b) 5 (c) 24 (d) 22
  10. 10.What is the mean of 8, 18, 11, 19, 13 and 9? (a) 12 (b) 13 (c) 15 (d) 14
  11. 11.What is the mean of 19, 18, 18, 12 and 23? (a) 17 (b) 18 (c) 15 (d) 19
  12. 12.What is the mean of 11, 14, 10, 20 and 20? (a) 17 (b) 16 (c) 14 (d) 15
  13. 13.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 33 (b) 38 (c) 34 (d) 35
  14. 14.What is the median of 23, 38, 3, 14 and 4? (a) 23 (b) 3 (c) 14 (d) 4
  15. 15.What is the mean of 7, 9, 19 and 17? (a) 13 (b) 14 (c) 15 (d) 12
  16. 16.What is the mean of 19, 16, 11 and 10? (a) 15 (b) 14 (c) 16 (d) 13
  17. 17.The mean of 3 numbers is 38. When the number 34 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 39
  18. 18.What is the mode of 20, 5, 1, 2, 2, 2 and 5? (a) 1 (b) 5 (c) 20 (d) 2
  19. 19.What is the mean of 10, 20, 9, 3, 10 and 8? (a) 11 (b) 9 (c) 10 (d) 12
  20. 20.What is the median of 21, 18, 15, 22, 23, 16 and 40? (a) 21 (b) 22 (c) 18 (d) 20
  21. 21.The mean of 3 numbers is 36. When the number 40 is added to them, what is the new mean? (a) 38 (b) 36 (c) 37 (d) 39
  22. 22.What is the mean of 8, 7, 16, 16 and 3? (a) 9 (b) 11 (c) 12 (d) 10
  23. 23.What is the median of 30, 35, 23, 17 and 19? (a) 23 (b) 30 (c) 24 (d) 19
  24. 24.What is the mode of 11, 7, 7, 5, 11, 7 and 10? (a) 11 (b) 7 (c) 10 (d) 5
  25. 25.What is the mean of 12, 8, 6, 7 and 22? (a) 10 (b) 12 (c) 11 (d) 13
  26. 26.What is the median of 20, 18, 17, 34, 14, 7 and 26? (a) 18 (b) 17 (c) 20 (d) 34
  27. 27.What is the mean of 15, 12, 13 and 20? (a) 12 (b) 20 (c) 16 (d) 15
  28. 28.The mean of 5 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 16 (b) 13 (c) 10 (d) 12
  29. 29.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 25 (b) 36 (c) 39 (d) 35
  30. 30.What is the median of 36, 27, 20, 13 and 21? (a) 21 (b) 27 (c) 20 (d) 22
  31. 31.What is the mean of 5, 8, 8 and 23? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.What is the median of 22, 8, 33, 39 and 36? (a) 22 (b) 34 (c) 33 (d) 36
  33. 33.What is the median of 33, 17, 36, 31, 11, 32 and 9? (a) 30 (b) 17 (c) 32 (d) 31
  34. 34.What is the median of 12, 15, 17, 14 and 38? (a) 15 (b) 16 (c) 17 (d) 14
  35. 35.What is the median of 36, 14, 19, 37, 15, 7 and 6? (a) 14 (b) 15 (c) 37 (d) 19
  36. 36.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 31 (b) 37 (c) 28 (d) 30
  37. 37.What is the mean of 13, 9, 5, 19, 6 and 8? (a) 11 (b) 10 (c) 9 (d) 12
  38. 38.What is the median of 16, 13, 25, 17, 10, 2 and 36? (a) 15 (b) 16 (c) 17 (d) 13
  39. 39.What is the mean of 15, 2, 7, 9, 20 and 7? (a) 11 (b) 10 (c) 9 (d) 12
  40. 40.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 29

Answer key

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

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