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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 438 · 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 12, 4, 20 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  2. 2.What is the median of 14, 39, 38, 16, 31, 24 and 12? (a) 31 (b) 16 (c) 25 (d) 24
  3. 3.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 9 (b) 10 (c) 11 (d) 8
  4. 4.What is the mode of 2, 5, 19, 2, 2, 16 and 16? (a) 19 (b) 16 (c) 5 (d) 2
  5. 5.The mean of 6 numbers is 22. When the number 8 is added to them, what is the new mean? (a) 22 (b) 21 (c) 15 (d) 20
  6. 6.The mean of 5 numbers is 35. When the number 29 is added to them, what is the new mean? (a) 34 (b) 33 (c) 35 (d) 32
  7. 7.What is the mean of 4, 19, 3 and 10? (a) 10 (b) 9 (c) 12 (d) 8
  8. 8.What is the mean of 10, 19, 17, 17 and 22? (a) 17 (b) 18 (c) 19 (d) 16
  9. 9.What is the median of 5, 26, 33, 17 and 37? (a) 33 (b) 27 (c) 17 (d) 26
  10. 10.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 41 (b) 32 (c) 31 (d) 27
  11. 11.What is the median of 26, 19, 24, 8 and 13? (a) 19 (b) 13 (c) 18 (d) 24
  12. 12.The mean of 9 numbers is 22. When the number 42 is added to them, what is the new mean? (a) 25 (b) 22 (c) 24 (d) 32
  13. 13.The mean of 7 numbers is 20. When the number 52 is added to them, what is the new mean? (a) 25 (b) 24 (c) 36 (d) 20
  14. 14.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 20 (b) 13 (c) 19 (d) 21
  15. 15.What is the mode of 15, 1, 15, 18, 9, 1 and 15? (a) 9 (b) 1 (c) 15 (d) 18
  16. 16.What is the mode of 1, 1, 12, 16, 16, 7 and 16? (a) 16 (b) 12 (c) 1 (d) 7
  17. 17.What is the mode of 2, 5, 20, 20, 19, 19 and 20? (a) 19 (b) 5 (c) 2 (d) 20
  18. 18.What is the median of 36, 5, 14, 38, 17, 12 and 28? (a) 14 (b) 28 (c) 38 (d) 17
  19. 19.What is the median of 24, 29, 9, 13 and 16? (a) 13 (b) 9 (c) 16 (d) 24
  20. 20.What is the median of 36, 26, 15, 24, 19, 3 and 18? (a) 24 (b) 19 (c) 20 (d) 18
  21. 21.What is the mean of 2, 5, 7 and 10? (a) 5 (b) 6 (c) 8 (d) 7
  22. 22.What is the median of 23, 17, 30, 12, 39, 29 and 15? (a) 17 (b) 12 (c) 29 (d) 23
  23. 23.What is the median of 5, 37, 24, 27, 8, 10 and 28? (a) 10 (b) 25 (c) 24 (d) 27
  24. 24.What is the mean of 15, 5, 7 and 13? (a) 11 (b) 10 (c) 9 (d) 8
  25. 25.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 16
  26. 26.What is the mean of 18, 6, 4, 3 and 19? (a) 12 (b) 11 (c) 10 (d) 9
  27. 27.The mean of 8 numbers is 33. When the number 60 is added to them, what is the new mean? (a) 37 (b) 33 (c) 36 (d) 35
  28. 28.The mean of 9 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 21 (b) 20 (c) 16 (d) 19
  29. 29.What is the mean of 17, 2, 10 and 19? (a) 11 (b) 16 (c) 12 (d) 13
  30. 30.What is the median of 18, 1, 2, 8 and 22? (a) 18 (b) 2 (c) 9 (d) 8
  31. 31.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 14 (b) 15 (c) 30 (d) 10
  32. 32.What is the mode of 19, 14, 19, 20, 19, 18 and 14? (a) 14 (b) 19 (c) 20 (d) 18
  33. 33.What is the mode of 10, 18, 2, 18, 4, 2 and 18? (a) 2 (b) 4 (c) 18 (d) 10
  34. 34.What is the median of 9, 14, 26, 4 and 2? (a) 9 (b) 26 (c) 11 (d) 14
  35. 35.What is the median of 10, 24, 32, 3 and 26? (a) 32 (b) 24 (c) 19 (d) 26
  36. 36.The mean of 3 numbers is 26. When the number 22 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 27
  37. 37.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 30 (c) 21 (d) 29
  38. 38.What is the median of 22, 29, 5, 9 and 14? (a) 5 (b) 9 (c) 22 (d) 14
  39. 39.What is the mean of 11, 17, 11 and 9? (a) 12 (b) 13 (c) 11 (d) 16
  40. 40.What is the mean of 4, 4, 16, 13, 8 and 15? (a) 12 (b) 10 (c) 11 (d) 9

Answer key

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

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