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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 174 · 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 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 29
  2. 2.What is the median of 2, 29, 35, 25 and 23? (a) 23 (b) 35 (c) 29 (d) 25
  3. 3.What is the median of 35, 2, 4, 29 and 22? (a) 4 (b) 23 (c) 29 (d) 22
  4. 4.The mean of 5 numbers is 21. When the number 27 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 24
  5. 5.What is the mean of 6, 7, 12 and 11? (a) 8 (b) 9 (c) 10 (d) 12
  6. 6.The mean of 4 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 26 (c) 30 (d) 31
  7. 7.What is the mean of 7, 9, 8, 15 and 16? (a) 13 (b) 12 (c) 11 (d) 10
  8. 8.The mean of 4 numbers is 18. When the number 33 is added to them, what is the new mean? (a) 20 (b) 21 (c) 18 (d) 22
  9. 9.The mean of 3 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 36 (b) 40 (c) 37 (d) 32
  10. 10.What is the median of 11, 6, 5, 10, 16, 27 and 28? (a) 10 (b) 16 (c) 11 (d) 12
  11. 11.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 14 (b) 11 (c) 13 (d) 12
  12. 12.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 23 (c) 22 (d) 16
  13. 13.What is the mean of 17, 16, 2 and 5? (a) 9 (b) 10 (c) 11 (d) 8
  14. 14.What is the median of 20, 31, 24, 15 and 27? (a) 25 (b) 27 (c) 24 (d) 20
  15. 15.The mean of 5 numbers is 34. When the number 28 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 34
  16. 16.What is the median of 21, 3, 29, 40 and 24? (a) 24 (b) 21 (c) 29 (d) 25
  17. 17.What is the median of 9, 11, 4, 10 and 37? (a) 10 (b) 9 (c) 11 (d) 4
  18. 18.What is the mean of 9, 12, 8, 12 and 4? (a) 9 (b) 8 (c) 10 (d) 11
  19. 19.What is the mode of 4, 4, 13, 13, 10, 16 and 13? (a) 16 (b) 4 (c) 10 (d) 13
  20. 20.What is the mean of 5, 16, 8, 16, 12 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  21. 21.What is the median of 2, 13, 6, 28 and 10? (a) 13 (b) 11 (c) 6 (d) 10
  22. 22.What is the median of 11, 33, 20, 15 and 14? (a) 20 (b) 16 (c) 14 (d) 15
  23. 23.What is the median of 16, 38, 21, 37 and 36? (a) 35 (b) 37 (c) 21 (d) 36
  24. 24.What is the mean of 7, 13, 7, 5, 5 and 5? (a) 7 (b) 8 (c) 9 (d) 6
  25. 25.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 16
  26. 26.What is the mode of 10, 10, 3, 3, 15, 3 and 18? (a) 15 (b) 10 (c) 18 (d) 3
  27. 27.What is the median of 31, 16, 4, 3 and 15? (a) 16 (b) 4 (c) 15 (d) 14
  28. 28.What is the median of 10, 36, 18, 30 and 37? (a) 18 (b) 31 (c) 36 (d) 30
  29. 29.What is the mode of 4, 14, 8, 8, 1, 14 and 14? (a) 4 (b) 14 (c) 1 (d) 8
  30. 30.What is the median of 11, 2, 34, 32, 37, 10 and 13? (a) 32 (b) 14 (c) 11 (d) 13
  31. 31.The mean of 6 numbers is 21. When the number 42 is added to them, what is the new mean? (a) 25 (b) 21 (c) 23 (d) 24
  32. 32.What is the mode of 11, 6, 20, 6, 20, 6 and 10? (a) 11 (b) 10 (c) 20 (d) 6
  33. 33.What is the mode of 4, 10, 7, 10, 2, 7 and 7? (a) 2 (b) 10 (c) 4 (d) 7
  34. 34.What is the mode of 18, 18, 5, 18, 2, 6 and 2? (a) 18 (b) 6 (c) 2 (d) 5
  35. 35.What is the median of 37, 18, 34, 8 and 32? (a) 34 (b) 33 (c) 18 (d) 32
  36. 36.What is the mode of 6, 7, 4, 19, 4, 7 and 7? (a) 6 (b) 4 (c) 19 (d) 7
  37. 37.What is the median of 29, 14, 36, 19 and 17? (a) 36 (b) 23 (c) 19 (d) 29
  38. 38.What is the mode of 11, 20, 18, 11, 18, 2 and 11? (a) 2 (b) 11 (c) 18 (d) 20
  39. 39.What is the median of 13, 28, 36, 20 and 26? (a) 26 (b) 20 (c) 28 (d) 36
  40. 40.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 22 (b) 20 (c) 18 (d) 19

Answer key

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

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