If the parent, guardian or other person having custody of any child shall feel aggrieved by the assignment of such child to a school or attendance center by the school board, then such parent, guardian or other person may, at any time within thirty (30) days after such assignment, make application in writing to the school board for a review or reconsideration of such assignment. Upon receiving any such application, the school board shall set a time and place for the hearing thereof which time shall be not more than fifteen (15) days after the regular meeting of said board next succeeding the date of the filing of said application. At the time and place so fixed, the person filing such application shall have the right to appear and present evidence in support of said application. After hearing said evidence, the school board shall determine whether said application is well taken and supported by the evidence and shall enter an order either affirming its previous action or modifying or changing same as said school board shall find proper.