The city board of education, subject to the provisions of this title, shall cause to be taken under the direction of the city superintendent of schools a quadrennial school census of the school children in the city between the ages of six and 19 years. The school census shall be taken in July of 1946, and every four years thereafter, and the superintendent of schools, upon the direction at any time of the State Superintendent of Education, shall cause the whole or any part of the school census in the city to be retaken. The city superintendent of schools shall employ, with the approval of the city board of education, a sufficient number of enumerators to take the census during the month of July, or at such other time as the State Superintendent of Education shall cause the whole or any part of the school census in said city to be retaken. The city board of education, upon the recommendation of the city superintendent of schools, shall fix the compensation of the enumerators employed in taking any school census and shall order the same paid out of the city treasury. The report of the enumerators shall be made under oath to the city superintendent of schools not later than the fifth day of August next succeeding the time of the taking of such census, and the data gathered shall be in turn transmitted by the city superintendent of schools to the county superintendent of education not later than the fifteenth day of August thereafter.