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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 323 · 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 mode of 16, 10, 16, 10, 16, 14 and 13? (a) 16 (b) 10 (c) 14 (d) 13
  2. 2.The mean of 9 numbers is 34. When the number 4 is added to them, what is the new mean? (a) 31 (b) 32 (c) 34 (d) 19
  3. 3.What is the mean of 4, 11, 6 and 7? (a) 8 (b) 7 (c) 6 (d) 9
  4. 4.What is the mean of 2, 9, 9 and 16? (a) 12 (b) 10 (c) 8 (d) 9
  5. 5.What is the median of 10, 4, 34, 36, 25, 24 and 22? (a) 36 (b) 25 (c) 24 (d) 22
  6. 6.What is the median of 29, 1, 21, 27 and 35? (a) 28 (b) 21 (c) 29 (d) 27
  7. 7.What is the mode of 15, 11, 11, 15, 15, 19 and 13? (a) 13 (b) 15 (c) 11 (d) 19
  8. 8.What is the median of 4, 2, 40, 17 and 24? (a) 24 (b) 4 (c) 17 (d) 40
  9. 9.What is the median of 29, 4, 30, 2 and 28? (a) 30 (b) 4 (c) 28 (d) 29
  10. 10.What is the median of 9, 19, 26, 3, 16, 2 and 37? (a) 3 (b) 16 (c) 9 (d) 19
  11. 11.The mean of 7 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 15 (b) 22 (c) 23 (d) 21
  12. 12.What is the median of 15, 13, 10, 6 and 38? (a) 14 (b) 13 (c) 15 (d) 10
  13. 13.What is the mean of 8, 8, 11 and 17? (a) 11 (b) 10 (c) 13 (d) 12
  14. 14.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 39
  15. 15.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 26 (b) 25 (c) 29 (d) 19
  16. 16.What is the mean of 9, 2, 14 and 11? (a) 10 (b) 12 (c) 9 (d) 8
  17. 17.What is the median of 9, 34, 32, 5 and 21? (a) 22 (b) 9 (c) 32 (d) 21
  18. 18.What is the mean of 6, 9, 12, 14 and 9? (a) 11 (b) 12 (c) 9 (d) 10
  19. 19.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 12 (b) 13 (c) 10 (d) 11
  20. 20.What is the mean of 11, 5, 7, 5 and 12? (a) 7 (b) 9 (c) 10 (d) 8
  21. 21.The mean of 3 numbers is 38. When the number 42 is added to them, what is the new mean? (a) 39 (b) 38 (c) 40 (d) 41
  22. 22.What is the mode of 6, 6, 6, 5, 12, 14 and 14? (a) 6 (b) 14 (c) 12 (d) 5
  23. 23.What is the median of 38, 10, 14, 24 and 31? (a) 25 (b) 31 (c) 14 (d) 24
  24. 24.The mean of 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 33 (b) 30 (c) 29 (d) 31
  25. 25.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 33
  26. 26.What is the mean of 14, 4, 4, 16, 19 and 15? (a) 11 (b) 13 (c) 14 (d) 12
  27. 27.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 16 (b) 17 (c) 18 (d) 15
  28. 28.What is the median of 8, 12, 29, 1, 5, 25 and 10? (a) 8 (b) 12 (c) 1 (d) 10
  29. 29.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 14
  30. 30.What is the median of 36, 6, 26, 13 and 40? (a) 27 (b) 13 (c) 36 (d) 26
  31. 31.What is the mean of 4, 18, 5, 11, 2 and 8? (a) 10 (b) 9 (c) 8 (d) 7
  32. 32.What is the median of 9, 24, 35, 8 and 5? (a) 9 (b) 24 (c) 8 (d) 35
  33. 33.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 21
  34. 34.What is the mean of 3, 2, 3 and 12? (a) 7 (b) 6 (c) 5 (d) 4
  35. 35.What is the median of 33, 2, 7, 13 and 26? (a) 26 (b) 14 (c) 7 (d) 13
  36. 36.What is the mean of 6, 16, 3 and 7? (a) 7 (b) 8 (c) 9 (d) 10
  37. 37.The mean of 4 numbers is 32. When the number 37 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 35
  38. 38.What is the mode of 10, 4, 10, 10, 11, 1 and 1? (a) 1 (b) 11 (c) 10 (d) 4
  39. 39.What is the median of 28, 40, 30, 1 and 19? (a) 28 (b) 29 (c) 30 (d) 19
  40. 40.The mean of 4 numbers is 38. When the number 23 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 34

Answer key

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

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