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Analyzing Poolesville Residents' Duration of Stay: A Survey Study

This project presents a survey conducted by Jacob A. Tievy examining how long residents have lived in Poolesville, MD. Utilizing statistical measures such as mean, mode, and median, the findings reveal that the mode and median for years of residency is 11 years, with responses ranging from 0 to 11 years. The first graph accurately represents the data, while the second misleads by distorting the scale. The survey, conducted among sixth graders at John Poole Middle School, highlights limitations in sampling technique and potential biases in the data collection process.

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Analyzing Poolesville Residents' Duration of Stay: A Survey Study

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Presentation Transcript

  1. Investigations Into Mathematics:Survey Project Presented by: Jacob A. Tievy

  2. How many years have you lived in Poolesville, MD?

  3. Which graph more accurately represents the data that was collected?

  4. The first graph more accurately represents the data, as it properly demonstrates the scale of the sample size

  5. The second graph is very misleading, as the scale would lead you to believe that each data point is almost equal

  6. Mean The mean for the data that I collected is: (0 x 4 = 0) + (1 x 1 = 1) + (2 x 1 = 2) + (3 x 0 = 0) + (4 x 0 = 0) + (5 x 1 = 5) + (6 x 2 = 12) + (7 x 1 = 7) + (8 x 1 = 8) + (9 x 0 = 0) + (10 x 1 = 10) + (11 x 13 = 143) = 188 188 / 25 = 7.52

  7. Mode The Mode for the data I collected is 11 years, since it is the most common number of years by far in my sample.

  8. Median The Median for the data that I collected is 11 years. This is because over half of the people that I surveyed (13 out of 25 people) said that they have lived in Poolesville for 11 years.

  9. Range The range for the data that I collected was 11 years. This is because the number of years that people have lived in Poolesville ranged from zero (0) years to eleven (11) years.

  10. Central Tendency The mode is the best representation for the Central Tendency of the data that I collected. This is because over half of the people that I surveyed (13 out of 25) said that they have lived in Poolesville for 11 years.

  11. Surveying Technique My sampling technique was a convenience sample. I surveyed 6th grade students at John Poole Middle School. My sampling was biased because I only surveyed sixth-graders, so their answers were limited to eleven or less. It was also biased because the survey was taken at a school in Poolesville, as opposed to a random location.

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