The following table shows the number of snow days each school district in Trene County had last winter. School district |District $201$ |District $211$ |District $221$ |District $231$ |District $241$ | - | :-: | :-:| :-:| :-:| :-: **Number of snow days**| $4$| $8$ | $3$| $6$| $\large?$ **If the mean of the data set is $5$ snow days, find the number of snow days in District $241$.** $\qquad$[[☃ math-keypad 1]] snow days