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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 782 · 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 8, 40, 17, 38 and 28? (a) 17 (b) 29 (c) 28 (d) 38
  2. 2.What is the mean of 19, 6, 10 and 5? (a) 8 (b) 9 (c) 11 (d) 10
  3. 3.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 20
  4. 4.What is the median of 9, 2, 22, 27, 6, 37 and 3? (a) 22 (b) 9 (c) 27 (d) 6
  5. 5.What is the median of 22, 7, 16, 25 and 31? (a) 23 (b) 16 (c) 22 (d) 25
  6. 6.What is the mean of 11, 12, 14 and 7? (a) 13 (b) 10 (c) 12 (d) 11
  7. 7.What is the mode of 4, 19, 6, 6, 4, 2 and 4? (a) 19 (b) 2 (c) 6 (d) 4
  8. 8.What is the median of 9, 2, 27, 15, 16, 21 and 7? (a) 16 (b) 14 (c) 15 (d) 9
  9. 9.What is the mean of 6, 17, 2, 14 and 6? (a) 9 (b) 10 (c) 8 (d) 11
  10. 10.What is the mode of 10, 10, 10, 12, 4, 15 and 12? (a) 4 (b) 10 (c) 12 (d) 15
  11. 11.What is the mean of 8, 6, 8, 2 and 11? (a) 9 (b) 8 (c) 6 (d) 7
  12. 12.What is the mode of 3, 9, 3, 20, 9, 3 and 17? (a) 17 (b) 3 (c) 20 (d) 9
  13. 13.What is the median of 3, 20, 40, 35 and 29? (a) 29 (b) 40 (c) 20 (d) 35
  14. 14.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 19 (b) 26 (c) 20 (d) 17
  15. 15.What is the mean of 9, 9, 5 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  16. 16.What is the mean of 9, 15, 10 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  17. 17.What is the mode of 18, 5, 4, 18, 19, 19 and 18? (a) 19 (b) 5 (c) 18 (d) 4
  18. 18.What is the median of 32, 27, 7, 25 and 17? (a) 27 (b) 17 (c) 7 (d) 25
  19. 19.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 29 (b) 16 (c) 28 (d) 31
  20. 20.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 30 (b) 24 (c) 25 (d) 20
  21. 21.What is the mode of 7, 12, 7, 11, 12, 14 and 7? (a) 11 (b) 14 (c) 12 (d) 7
  22. 22.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 20 (b) 19 (c) 24 (d) 21
  23. 23.What is the median of 30, 23, 37, 31, 16, 13 and 18? (a) 31 (b) 24 (c) 23 (d) 30
  24. 24.What is the mean of 7, 7, 6 and 16? (a) 12 (b) 10 (c) 8 (d) 9
  25. 25.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 26
  26. 26.What is the mean of 3, 17, 11 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  27. 27.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 23 (b) 20 (c) 24 (d) 29
  28. 28.What is the mode of 1, 7, 6, 1, 2, 2 and 1? (a) 6 (b) 1 (c) 2 (d) 7
  29. 29.What is the mean of 7, 12, 5 and 4? (a) 7 (b) 9 (c) 8 (d) 6
  30. 30.What is the mode of 17, 3, 3, 5, 5, 5 and 2? (a) 3 (b) 2 (c) 17 (d) 5
  31. 31.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 28
  32. 32.What is the mode of 17, 15, 15, 14, 15, 18 and 17? (a) 17 (b) 15 (c) 14 (d) 18
  33. 33.What is the mean of 6, 6, 5, 19, 18 and 18? (a) 12 (b) 13 (c) 14 (d) 11
  34. 34.What is the mode of 1, 10, 10, 10, 3, 18 and 18? (a) 1 (b) 18 (c) 3 (d) 10
  35. 35.The mean of 5 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 19 (b) 26 (c) 25 (d) 28
  36. 36.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 25 (b) 26 (c) 24 (d) 23
  37. 37.What is the median of 37, 22, 31, 29 and 7? (a) 31 (b) 29 (c) 22 (d) 30
  38. 38.What is the median of 1, 17, 23, 10, 35, 8 and 2? (a) 8 (b) 17 (c) 10 (d) 11
  39. 39.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 11 (b) 15 (c) 14 (d) 26
  40. 40.What is the mode of 1, 16, 1, 3, 9, 3 and 1? (a) 1 (b) 9 (c) 3 (d) 16

Answer key

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

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