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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 768 · 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 median of 40, 30, 10, 37, 4, 8 and 35? (a) 35 (b) 37 (c) 30 (d) 10
  2. 2.What is the median of 13, 11, 34, 24 and 37? (a) 34 (b) 25 (c) 24 (d) 13
  3. 3.What is the mode of 19, 9, 9, 4, 19, 19 and 1? (a) 4 (b) 1 (c) 19 (d) 9
  4. 4.What is the mean of 11, 8, 7, 3 and 21? (a) 10 (b) 11 (c) 9 (d) 12
  5. 5.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) 34 (d) 37
  6. 6.What is the mode of 5, 9, 20, 19, 20, 20 and 19? (a) 9 (b) 19 (c) 20 (d) 5
  7. 7.The mean of 6 numbers is 36. When the number 50 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 43
  8. 8.What is the median of 13, 3, 26, 6, 38, 14 and 15? (a) 13 (b) 6 (c) 15 (d) 14
  9. 9.What is the mean of 2, 7, 2, 12 and 12? (a) 9 (b) 7 (c) 8 (d) 6
  10. 10.What is the median of 40, 18, 33, 27 and 23? (a) 27 (b) 33 (c) 28 (d) 23
  11. 11.The mean of 6 numbers is 15. When the number 29 is added to them, what is the new mean? (a) 22 (b) 15 (c) 18 (d) 17
  12. 12.What is the mean of 18, 14, 5, 3, 3 and 23? (a) 13 (b) 10 (c) 12 (d) 11
  13. 13.What is the median of 7, 25, 31, 10, 32, 18 and 20? (a) 25 (b) 18 (c) 10 (d) 20
  14. 14.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 28 (c) 31 (d) 29
  15. 15.What is the mode of 10, 3, 6, 3, 6, 12 and 3? (a) 12 (b) 10 (c) 6 (d) 3
  16. 16.What is the mode of 14, 9, 17, 14, 17, 18 and 17? (a) 14 (b) 17 (c) 9 (d) 18
  17. 17.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 38
  18. 18.What is the mean of 2, 10, 3 and 17? (a) 8 (b) 7 (c) 9 (d) 10
  19. 19.What is the mean of 17, 3, 10, 2 and 18? (a) 9 (b) 12 (c) 10 (d) 11
  20. 20.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 20 (b) 19 (c) 16 (d) 18
  21. 21.What is the median of 36, 7, 26, 39, 4, 35 and 5? (a) 35 (b) 39 (c) 26 (d) 7
  22. 22.The mean of 3 numbers is 17. When the number 13 is added to them, what is the new mean? (a) 15 (b) 17 (c) 18 (d) 16
  23. 23.The mean of 8 numbers is 22. When the number 13 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 20
  24. 24.What is the median of 33, 2, 29, 13 and 31? (a) 30 (b) 13 (c) 29 (d) 31
  25. 25.What is the median of 16, 31, 11, 9 and 39? (a) 31 (b) 11 (c) 17 (d) 16
  26. 26.What is the mean of 9, 13, 5, 13, 8 and 18? (a) 10 (b) 12 (c) 13 (d) 11
  27. 27.What is the mean of 15, 5, 5 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  28. 28.What is the mean of 8, 17, 11 and 4? (a) 8 (b) 11 (c) 9 (d) 10
  29. 29.What is the mode of 11, 6, 10, 10, 6, 6 and 1? (a) 10 (b) 1 (c) 11 (d) 6
  30. 30.What is the mode of 2, 2, 4, 20, 3, 2 and 3? (a) 20 (b) 2 (c) 4 (d) 3
  31. 31.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 24 (b) 23 (c) 22 (d) 21
  32. 32.What is the mode of 15, 4, 6, 4, 4, 16 and 6? (a) 16 (b) 4 (c) 15 (d) 6
  33. 33.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 36 (b) 35 (c) 38 (d) 37
  34. 34.What is the median of 15, 9, 18, 14, 24, 2 and 7? (a) 9 (b) 15 (c) 13 (d) 14
  35. 35.What is the median of 38, 7, 1, 31, 21, 28 and 9? (a) 28 (b) 9 (c) 21 (d) 31
  36. 36.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 40 (b) 34 (c) 37 (d) 38
  37. 37.What is the median of 40, 4, 13, 22 and 26? (a) 26 (b) 22 (c) 21 (d) 13
  38. 38.What is the mean of 3, 14, 15 and 20? (a) 12 (b) 14 (c) 13 (d) 15
  39. 39.What is the mode of 2, 2, 10, 2, 1, 19 and 1? (a) 2 (b) 10 (c) 1 (d) 19
  40. 40.The mean of 7 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 37 (b) 39 (c) 36 (d) 27

Answer key

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

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