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Descriptive Statistics EbL Arzola Nereida
Generated May 7, 2019 by narzola050

I chose to perform my analysis on obesity by states and territories in the United States.

I first ran summary statistics and obtained the following results:

Summary statistics:

ColumnnMeanVarianceStd. dev.Std. err.MedianRangeMinMaxQ1Q3IQRCoef. of var.Mode
Prevalence 53 30.711321 14.6491 3.8274143 0.52573579 31.6 15.5 22.6 38.1 28.1 33.2 5.1 12.462552


Data was obtained from and reported on all 50 states and territories of the United States for a total of 53 observations.

Central Tendency

The average or mean number of obese states in 2017 was 30.7.

The median or middle number of percentage of obese states was 31.6, about the same as the mean.  This information tells us that our distribution is symmetric, as confirmed by the box plot below.  

The mode is 28.4, which is also very close to the average mean of obese states. 


With a standard deviation of 3.8 we can see why the distribution is symmetric; there isn't much difference from state to state in obesity percentages.  The variance of 14.6491 is the standard deviation squared.

The range of the data is 15.5, meaning there is a 15.5 percent difference between the state that is most obese (West Virginia with 38.1 percent of obese people) and the state that is least obese (Colorado with 22.6 percent of obese people).  It was interesting to see West Virginia as the state with the most obese people.  I wonder what would contribute to that; do they have delicious restaurants that I haven't heard about?  I was not surprised to see that Colorado was the least obese state.  With Colorado's beautiful scenery, I am sure people spend a lot of time outdoors, not on the couch.


 The number summary is (22.6, 28.1, 31.6, 33.2, 38.1).  The interquartile range is 5.1 stating tha the middle 50% of my data or percentage of obese states have a range of 5.1; starting at 28.1 and going up to 33.2 spans 5.1 percent.  The remaining 50% of the data lies below 28.1 or above 33.2 percent of obese people per state.

The boxplot shows a slightly longer whisker to the left of the boxplot, but the difference is very small; the overall distribution would be symmetric.

 Right click to copy

This data was of interest to me because I wanted to know if states with large urban cities were more prone to obesity than states with more rural cities.  I thought that states with a more rural area would be less obese because there would be more farming and healthier eating in those states.  I was surprised to find that West Virginia was the state with the most obesity in the U.S. in 2017 because the state with the "fattest" cities was Texas according to a study done by Wallet Hub in 2017.


Result 1: 2017 Prevalence of Self-Reported Obesity by State and Territory   [Info]
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Result 2: Obesity Summary Stats   [Info]

Summary statistics:

ColumnnMeanVarianceStd. dev.Std. err.MedianRangeMinMaxQ1Q3IQRCoef. of var.Mode