Data on homes recently sold in a certain town included the area of the home, reported in square feet. The table below shows summary statistics of the reported areas, in square feet.

$$ \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Mean} & \text{Minimum} & \text{Q1} & \text{Median} & \text{Q3} & \text{Maximum} &\text{Standard Deviation} \\ \hline 1{,}754.14 & 1{,}656 & 1{,}704 & 1{,}758 & 1{,}806 & 1{,}843 & 61{,}0723 \\ \hline \end{array} $$

An auditor determined that an error was made in the reported areas and that all of the areas should have been 100 square feet greater than what was reported. The areas were corrected and new summary statistics were reported.

What are the interquartile range (IQR) and the standard deviation of the corrected areas?

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Changing all the data points equally through addition will not affect the IQR or standard deviation.

The original IQR (and final) is

$$ \text{Q3}-\text{Q1} = 1{,}806-1{,}704 = 102 $$