Statistics Assignment: Analyzing Commute Times to Work/School

Performance Task Statistics Assignment Isaiah Taylor Marie Buse Statistics 2/6/2019 The topic I choose to research is the average commute times to work / school of my Facebook friends. I feel that the average commute time to work / school for the average person is around 11-15 miles , I base this Hypothesis on the fact that we live in a rural area and most people live outside of town. 4. a. The sampling method I used was voluntary sampling/Convenience , the way I used this method was by putting up a social media post that is attached below

b. The potential drawbacks of this sampling method is that the sampling method I used did not specify one way or round trip and also the 40 something responses I got is a very small sample group. Those two reasons alone could make this sample not an accurate measure of the population. c. The benefits of this sampling method is that it is convenient and the data was easy and quick to gather , It took less than a day to compile this data. d. I do not believe there is a potential bias, the only thing I would change is that I would specify in the post that I am measuring either one way or round trip. 5. a. The mean of my data is 11.01 while the median of my data is 6 and the mode is 0.5 while the midrange is 15.25 those are the measures of center. Going onto my measures of variation, the standard deviation is 10.533 and my range is 29.5 b. Using the IQR method my IQR is 22, I calculated this value through subtracting Q3(22.5)-Q1(.5) With the lower fence being -32.5 and the upper fence being 55.5 there is not any outliers. If there were any outliers these could potentially affect the measures of center and outliers would definitely affect the measures of variation for example if there was an outlier that was significantly high it would warp the range greatly and give a misleading picture of the actual range. 6. a. I believe these best represent the data for me these are my personal favorites because these graph are hard to make misleading and also I feel they look neater than other graphs. I cannot think of a way to modify the graph to make it misleading

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7. a. My hypothesis on number 2 was not even close to my actual result because I said in my hypothesis that I would get a high number of results in the 16-29 mile range. I was kind of surprised with the results I got because I would think living in a rural area that the value of 16-29 miles would’ve yielded a larger result.

b. With my calculations I can make an implication that a large number of my sample commutes at low distances of 15 miles or less daily going to work / school, beings almost 50 percent of my sample yielded that result.

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Performance Task Statistics Assignment

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