For data set A, the table summarizes the distribution of the number of deliveries received by an office each day during a period of $11$ days.

Deliveries	Days
$0$	$2$
$3$	$2$
$4$	$2$
$5$	$2$
$6$	$1$
$7$	$1$
$13$	$1$

The data value $13$ was recorded in error and is removed from data set A to create data set B, which consists of the remaining $10$ data values. Which statement best compares the median of data set A and the median of data set B?