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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 826 · 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 5, 20, 8, 19 and 8? (a) 10 (b) 15 (c) 12 (d) 13
  2. 2.What is the median of 7, 21, 22, 5 and 34? (a) 21 (b) 20 (c) 22 (d) 7
  3. 3.What is the median of 4, 13, 39, 6 and 9? (a) 13 (b) 39 (c) 6 (d) 9
  4. 4.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 26
  5. 5.What is the mean of 16, 2, 12, 18 and 7? (a) 10 (b) 12 (c) 11 (d) 13
  6. 6.What is the mean of 4, 13, 17, 3 and 13? (a) 10 (b) 11 (c) 9 (d) 12
  7. 7.What is the median of 8, 6, 4, 20, 39, 7 and 15? (a) 8 (b) 15 (c) 7 (d) 20
  8. 8.What is the median of 17, 40, 10, 29, 21, 27 and 14? (a) 27 (b) 17 (c) 29 (d) 21
  9. 9.What is the mean of 12, 11, 3, 17 and 17? (a) 15 (b) 10 (c) 13 (d) 12
  10. 10.The mean of 7 numbers is 15. When the number 47 is added to them, what is the new mean? (a) 15 (b) 31 (c) 20 (d) 19
  11. 11.The mean of 4 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 29 (b) 25 (c) 35 (d) 30
  12. 12.What is the median of 26, 5, 22, 23, 4, 29 and 14? (a) 23 (b) 21 (c) 22 (d) 14
  13. 13.What is the median of 35, 29, 16, 8, 1, 23 and 28? (a) 8 (b) 28 (c) 23 (d) 20
  14. 14.What is the mode of 9, 15, 15, 5, 16, 15 and 16? (a) 16 (b) 5 (c) 9 (d) 15
  15. 15.What is the mean of 12, 18, 2, 14 and 14? (a) 12 (b) 10 (c) 15 (d) 13
  16. 16.The mean of 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 31
  17. 17.What is the mean of 2, 9, 13, 2 and 9? (a) 6 (b) 8 (c) 9 (d) 7
  18. 18.What is the mean of 6, 15, 10, 14 and 15? (a) 15 (b) 13 (c) 10 (d) 12
  19. 19.What is the mean of 9, 19, 9, 10 and 8? (a) 11 (b) 10 (c) 12 (d) 13
  20. 20.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 37 (b) 31 (c) 38 (d) 40
  21. 21.The mean of 5 numbers is 21. When the number 45 is added to them, what is the new mean? (a) 21 (b) 26 (c) 33 (d) 25
  22. 22.What is the median of 36, 8, 4, 13 and 31? (a) 13 (b) 8 (c) 4 (d) 31
  23. 23.What is the mean of 10, 13, 7, 4, 2 and 6? (a) 8 (b) 9 (c) 7 (d) 6
  24. 24.What is the median of 35, 10, 26, 40 and 20? (a) 27 (b) 26 (c) 35 (d) 20
  25. 25.What is the median of 2, 39, 16, 40 and 21? (a) 16 (b) 39 (c) 22 (d) 21
  26. 26.What is the mean of 5, 10, 12, 13, 2 and 12? (a) 11 (b) 8 (c) 10 (d) 9
  27. 27.The mean of 3 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 38 (b) 42 (c) 41 (d) 40
  28. 28.What is the mode of 16, 12, 16, 19, 12, 16 and 1? (a) 16 (b) 19 (c) 12 (d) 1
  29. 29.What is the mean of 11, 11, 6 and 12? (a) 8 (b) 11 (c) 9 (d) 10
  30. 30.What is the mode of 1, 9, 14, 4, 1, 9 and 1? (a) 9 (b) 1 (c) 4 (d) 14
  31. 31.The mean of 7 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 31 (b) 22 (c) 32 (d) 34
  32. 32.What is the median of 8, 3, 31, 12 and 33? (a) 31 (b) 12 (c) 8 (d) 13
  33. 33.What is the median of 26, 6, 2, 14, 8, 5 and 1? (a) 8 (b) 14 (c) 5 (d) 6
  34. 34.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 36 (b) 48 (c) 33 (d) 37
  35. 35.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 26 (b) 27 (c) 38 (d) 23
  36. 36.What is the median of 31, 16, 24, 28, 23, 8 and 30? (a) 23 (b) 28 (c) 25 (d) 24
  37. 37.What is the mean of 14, 2, 13 and 15? (a) 10 (b) 12 (c) 11 (d) 13
  38. 38.What is the mean of 19, 8, 15, 16, 10 and 16? (a) 13 (b) 14 (c) 15 (d) 12
  39. 39.What is the median of 5, 25, 38, 34, 16, 31 and 26? (a) 25 (b) 34 (c) 26 (d) 31
  40. 40.The mean of 3 numbers is 40. When the number 44 is added to them, what is the new mean? (a) 41 (b) 42 (c) 43 (d) 40

Answer key

  1. 12
  2. 21
  3. 9
  4. 27
  5. 11
  6. 10
  7. 8
  8. 21
  9. 12
  10. 19
  11. 29
  12. 22
  13. 23
  14. 15
  15. 12
  16. 30
  17. 7
  18. 12
  19. 11
  20. 37
  21. 25
  22. 13
  23. 7
  24. 26
  25. 21
  26. 9
  27. 40
  28. 16
  29. 10
  30. 1
  31. 31
  32. 12
  33. 6
  34. 36
  35. 26
  36. 24
  37. 11
  38. 14
  39. 26
  40. 41

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