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Created: Oct 2, 2019
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Number of Shoes based on Gender by Matthew S.
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Matthew S.

 My survey was created in order to find out whether or not gender and the number of shoes owned are associated or independent variables. While I was collecting my data, at first it seemed like it was close competition but as I collected more and more responses, it became clear that females tend to have more shoes on average.
 We can first see the data in the boxplot below where it quickly becomes obvious that the females have a tendency towards higher shoe counts.



 Looking at the boxplots, we see that the groups share a minimum value of 2, but this is where the similarities end. Both of the data sets are right skewed. The female group has a higher Q1, Median, Q3, upper fence, as well as the highest maximum. This can be seen clearly in the summary statistics shown below.

 

Looking at the dot plot shown below, we can see the difference of shape between the two groups.




 Both groups are right skewed, although the males have a much higher concentration towards the bottom of the data than the females. The males are unimodal with 2 gaps in the data while the females are almost bimodal with 4 gaps in the data. The males cluster was a lot tighter than the females, which means they had a much smaller IQR than the females. The males had 3 outliers while the females had 4 outliers. |

 Overall, I found that females tend to have more shoes than males, and males tend to have a very similar number of shoes, mainly within the 2-5 pairs of shoes range. These results aligned with what I believed I would find before I started collecting data. In conclusion, there is an association between gender and the number of pairs of shoes, with females tending to own more shoes than males.



Result 1: Boxplot for Shoes   [Info]
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Result 2: Dotplot for Shoes   [Info]
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Result 3: Summary Stats for Shoes   [Info]

Summary statistics:


ColumnnMeanVarianceStd. dev.Std. err.MedianRangeMinMaxQ1Q3
males504.7211.2669393.35662610.4746986242022235
females507.3220.2220414.49689240.6359566262222448

Data set 1. # of Shoes   [Info]
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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=91405">Number of Shoes based on Gender by Matthew S.</A>

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