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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 654 · 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 2, 8, 8, 2, 7, 8 and 11? (a) 2 (b) 11 (c) 8 (d) 7
  2. 2.The mean of 4 numbers is 31. When the number 26 is added to them, what is the new mean? (a) 30 (b) 32 (c) 29 (d) 31
  3. 3.What is the median of 22, 8, 1, 34 and 28? (a) 8 (b) 22 (c) 1 (d) 28
  4. 4.What is the mode of 8, 1, 16, 4, 16, 16 and 1? (a) 8 (b) 4 (c) 16 (d) 1
  5. 5.The mean of 7 numbers is 37. When the number 5 is added to them, what is the new mean? (a) 33 (b) 34 (c) 21 (d) 37
  6. 6.What is the mean of 14, 9, 16, 20 and 16? (a) 15 (b) 16 (c) 14 (d) 17
  7. 7.What is the median of 13, 29, 32, 16 and 1? (a) 29 (b) 13 (c) 32 (d) 16
  8. 8.The mean of 4 numbers is 40. When the number 20 is added to them, what is the new mean? (a) 36 (b) 37 (c) 40 (d) 30
  9. 9.The mean of 8 numbers is 40. When the number 76 is added to them, what is the new mean? (a) 40 (b) 58 (c) 45 (d) 44
  10. 10.What is the median of 12, 14, 22, 5, 7, 32 and 35? (a) 5 (b) 22 (c) 12 (d) 14
  11. 11.The mean of 9 numbers is 12. When the number 42 is added to them, what is the new mean? (a) 15 (b) 12 (c) 16 (d) 27
  12. 12.What is the mean of 11, 16, 20, 16, 5 and 10? (a) 14 (b) 12 (c) 13 (d) 15
  13. 13.What is the median of 32, 35, 18, 16, 36, 34 and 39? (a) 35 (b) 30 (c) 34 (d) 16
  14. 14.What is the mean of 3, 17, 5 and 19? (a) 12 (b) 10 (c) 11 (d) 13
  15. 15.What is the mode of 12, 17, 17, 12, 17, 13 and 8? (a) 8 (b) 12 (c) 13 (d) 17
  16. 16.What is the mean of 11, 16, 6, 13 and 4? (a) 12 (b) 9 (c) 11 (d) 10
  17. 17.What is the median of 19, 40, 1, 2, 8, 29 and 36? (a) 8 (b) 19 (c) 2 (d) 29
  18. 18.What is the mean of 14, 6, 12, 4, 10 and 8? (a) 8 (b) 11 (c) 10 (d) 9
  19. 19.What is the mean of 6, 14, 9, 8, 16 and 19? (a) 13 (b) 11 (c) 12 (d) 14
  20. 20.What is the median of 18, 2, 36, 33, 19, 6 and 15? (a) 18 (b) 33 (c) 15 (d) 19
  21. 21.What is the median of 13, 7, 36, 12, 29, 10 and 2? (a) 13 (b) 10 (c) 12 (d) 11
  22. 22.What is the mean of 2, 9, 8, 9, 3 and 17? (a) 8 (b) 10 (c) 7 (d) 9
  23. 23.What is the mean of 11, 19, 14 and 8? (a) 14 (b) 12 (c) 13 (d) 15
  24. 24.The mean of 4 numbers is 22. When the number 17 is added to them, what is the new mean? (a) 23 (b) 22 (c) 21 (d) 20
  25. 25.What is the median of 39, 16, 13, 3 and 8? (a) 14 (b) 16 (c) 13 (d) 8
  26. 26.What is the median of 28, 24, 20, 18, 31, 15 and 26? (a) 20 (b) 26 (c) 24 (d) 18
  27. 27.The mean of 9 numbers is 27. When the number 67 is added to them, what is the new mean? (a) 27 (b) 32 (c) 31 (d) 47
  28. 28.What is the mode of 8, 20, 4, 8, 10, 10 and 10? (a) 4 (b) 20 (c) 10 (d) 8
  29. 29.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 21 (b) 24 (c) 20 (d) 22
  30. 30.What is the mean of 6, 16, 8, 10, 20 and 6? (a) 13 (b) 11 (c) 12 (d) 10
  31. 31.What is the mean of 10, 11, 14, 19 and 6? (a) 15 (b) 10 (c) 13 (d) 12
  32. 32.What is the median of 31, 40, 5, 35 and 11? (a) 11 (b) 31 (c) 5 (d) 35
  33. 33.What is the median of 34, 2, 40, 11, 10, 9 and 1? (a) 10 (b) 12 (c) 11 (d) 9
  34. 34.What is the mode of 20, 4, 20, 4, 20, 13 and 19? (a) 19 (b) 20 (c) 13 (d) 4
  35. 35.What is the mean of 15, 2, 2, 10, 16 and 21? (a) 11 (b) 12 (c) 10 (d) 13
  36. 36.What is the median of 25, 8, 17, 36, 16, 32 and 9? (a) 17 (b) 36 (c) 25 (d) 16
  37. 37.What is the mode of 20, 20, 8, 5, 1, 1 and 1? (a) 20 (b) 5 (c) 1 (d) 8
  38. 38.What is the median of 38, 33, 26, 9, 29, 22 and 10? (a) 22 (b) 29 (c) 26 (d) 9
  39. 39.The mean of 7 numbers is 26. When the number 58 is added to them, what is the new mean? (a) 26 (b) 30 (c) 31 (d) 42
  40. 40.The mean of 3 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 30 (d) 32

Answer key

  1. 8
  2. 30
  3. 22
  4. 16
  5. 33
  6. 15
  7. 16
  8. 36
  9. 44
  10. 14
  11. 15
  12. 13
  13. 34
  14. 11
  15. 17
  16. 10
  17. 19
  18. 9
  19. 12
  20. 18
  21. 12
  22. 8
  23. 13
  24. 21
  25. 13
  26. 24
  27. 31
  28. 10
  29. 21
  30. 11
  31. 12
  32. 31
  33. 10
  34. 20
  35. 11
  36. 17
  37. 1
  38. 26
  39. 30
  40. 32

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