The data was obtained from https://www.valuepenguin.com/averagestudentloandebt#nogo and reported on average college debt of all states, including the District of Columbia, for a total of 51 observations.
I chose to perform my analysis on the average college debt per state. I chose this data set becuase it relates to me becuase every year that I go to school I end up in more student debt.
Central Tendency
The average/mean number of debt by state is $28,545.34
The median/middle number of debt is $28,559.50. Since the average/mean number and the median/middle number are so close to one another this would mean that the amout of debt per state is almost symmetrical. this is confirmed by the boxplot below.
My data set does not have a mode.
Variation
The standard deviation of debt in each state is $4,014.47. That number seems low compared to the average debt, which is $28,545.34.
The range of data is $19,672. This means that there is $19,672 of bebt between the smallest amount of debt per state of $18,838 and the largest amount if debt per state of $38,510. Thats a significant difference.
Position
The five number summary is ($18,838, $25,952, $28,559.50, $30,931, $19,672). The IQR is $4,979, stating that the middle 50% of data or debt per state has a range of $4,979; starting at $25,952 and going up to $30,931 spans $4,979 in debt. The remaining 50% of debt lies below $25,952 and or above $30,931 of debt per state.
The boxplot shows a single oultiner. The boxplot shows an even distribution of debt, expect for the single outliner.
Connececuit is the outlier state. The mean decreased by $203.36. The median decreased by 93.5. Everything in the summary statistics decresed by a small amount.
The outlier didn't have a signifcant affect on the summary statistics tehy decreased by a small about.
I learned that removing the outlier mad a small negative imact on everything in the summary stataistics.
Summary statistics:

Summary statistics:

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