SAT Question f6c18a66: Distributions, Center & Spread answer and explanation with Desmos solution

Choice C is correct. It’s given that for data set A, the table summarizes the number of deliveries received by an office each day over a period of $11$ days. If a data set contains an odd number of data values, the median is represented by the middle data value in the list when the data values are listed in ascending or descending order. Since data set A contains $11$ data values in ascending order, the median of data set A is the $6$th value. Based on the number of days for each value shown in the table, the $6$th value is $4$, so the median of data set A is $4$. It’s also given that the data value $13$ was recorded in error and is removed from data set A to create data set B. It follows that data set B contains $10$ data values in ascending order. If a data set contains an even number of data values, the median is between the two middle data values when the values are listed in ascending or descending order. It follows that the median of data set B is between the $5$th and $6$th values. Based on the number of days for each value shown in the table, the $5$th and $6$th values are both $4$, so the median of data set B is $4$. Therefore, the median of data set B is equal to the median of data set A.