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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 620 · 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 8, 9, 3, 9, 8, 9 and 12? (a) 3 (b) 12 (c) 8 (d) 9
  2. 2.What is the mean of 11, 11, 7, 11 and 5? (a) 9 (b) 10 (c) 8 (d) 11
  3. 3.What is the median of 40, 19, 22, 38, 31, 9 and 37? (a) 28 (b) 37 (c) 31 (d) 38
  4. 4.The mean of 8 numbers is 21. When the number 57 is added to them, what is the new mean? (a) 21 (b) 39 (c) 26 (d) 25
  5. 5.What is the median of 34, 14, 8, 39, 23, 40 and 11? (a) 39 (b) 34 (c) 23 (d) 14
  6. 6.What is the mode of 13, 5, 13, 15, 6, 6 and 6? (a) 6 (b) 5 (c) 13 (d) 15
  7. 7.What is the mean of 5, 12, 7, 8, 11 and 5? (a) 7 (b) 9 (c) 10 (d) 8
  8. 8.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 27 (c) 26 (d) 34
  9. 9.What is the mode of 2, 8, 14, 12, 14, 12 and 14? (a) 12 (b) 2 (c) 8 (d) 14
  10. 10.What is the mean of 5, 9, 19, 12 and 5? (a) 10 (b) 9 (c) 11 (d) 12
  11. 11.The mean of 9 numbers is 40. When the number 10 is added to them, what is the new mean? (a) 25 (b) 37 (c) 40 (d) 38
  12. 12.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 37
  13. 13.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 33 (b) 29 (c) 30 (d) 31
  14. 14.The mean of 7 numbers is 15. When the number 31 is added to them, what is the new mean? (a) 17 (b) 15 (c) 23 (d) 18
  15. 15.What is the mode of 3, 7, 1, 5, 1, 3 and 1? (a) 7 (b) 1 (c) 3 (d) 5
  16. 16.What is the median of 7, 13, 29, 1 and 10? (a) 12 (b) 13 (c) 10 (d) 29
  17. 17.What is the mean of 17, 10, 3, 4, 4 and 10? (a) 8 (b) 9 (c) 7 (d) 10
  18. 18.What is the mean of 13, 4, 8, 11, 4 and 8? (a) 9 (b) 10 (c) 7 (d) 8
  19. 19.What is the mean of 8, 3, 18 and 23? (a) 15 (b) 14 (c) 12 (d) 13
  20. 20.What is the mean of 20, 8, 4, 7 and 11? (a) 10 (b) 12 (c) 11 (d) 9
  21. 21.What is the median of 7, 22, 38, 35 and 13? (a) 35 (b) 38 (c) 22 (d) 23
  22. 22.What is the median of 5, 12, 3, 33 and 30? (a) 5 (b) 12 (c) 3 (d) 30
  23. 23.What is the mode of 14, 20, 5, 14, 16, 16 and 16? (a) 16 (b) 14 (c) 20 (d) 5
  24. 24.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 11 (b) 14 (c) 12 (d) 13
  25. 25.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 32 (c) 31 (d) 30
  26. 26.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 34 (b) 29 (c) 33 (d) 41
  27. 27.What is the mean of 19, 18, 14 and 5? (a) 16 (b) 15 (c) 14 (d) 13
  28. 28.What is the mean of 3, 16, 17 and 4? (a) 9 (b) 10 (c) 11 (d) 8
  29. 29.The mean of 4 numbers is 40. When the number 50 is added to them, what is the new mean? (a) 40 (b) 45 (c) 43 (d) 42
  30. 30.What is the median of 20, 7, 9, 25, 6, 5 and 28? (a) 25 (b) 9 (c) 20 (d) 7
  31. 31.What is the median of 8, 11, 15, 26 and 25? (a) 17 (b) 11 (c) 25 (d) 15
  32. 32.What is the median of 2, 9, 23, 19 and 16? (a) 23 (b) 19 (c) 9 (d) 16
  33. 33.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 21 (b) 33 (c) 31 (d) 30
  34. 34.What is the median of 34, 32, 21, 9 and 26? (a) 21 (b) 32 (c) 26 (d) 27
  35. 35.What is the median of 5, 15, 34, 17, 12, 33 and 26? (a) 15 (b) 26 (c) 18 (d) 17
  36. 36.What is the mean of 2, 7, 18, 2, 9 and 10? (a) 7 (b) 9 (c) 8 (d) 10
  37. 37.What is the mean of 20, 6, 3, 8, 6 and 23? (a) 10 (b) 11 (c) 13 (d) 12
  38. 38.What is the mode of 9, 6, 1, 16, 6, 9 and 9? (a) 1 (b) 6 (c) 16 (d) 9
  39. 39.What is the mean of 10, 13, 18, 5, 14 and 18? (a) 15 (b) 13 (c) 14 (d) 12
  40. 40.What is the mean of 18, 7, 2 and 5? (a) 7 (b) 9 (c) 10 (d) 8

Answer key

  1. 9
  2. 9
  3. 31
  4. 25
  5. 23
  6. 6
  7. 8
  8. 26
  9. 14
  10. 10
  11. 37
  12. 35
  13. 30
  14. 17
  15. 1
  16. 10
  17. 8
  18. 8
  19. 13
  20. 10
  21. 22
  22. 12
  23. 16
  24. 12
  25. 30
  26. 33
  27. 14
  28. 10
  29. 42
  30. 9
  31. 15
  32. 16
  33. 30
  34. 26
  35. 17
  36. 8
  37. 11
  38. 9
  39. 13
  40. 8

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