The duties of the judicial administrator shall be:
(a) To examine the administrative methods of the courts of the state and report and make recommendations for their improvement to the supreme court and to the judicial council;(b) To collect, prepare, and analyze statistical data and reports on the business of the courts, including violations of Louisiana Revised Statutes 13:4207 et seq., and report to and advise the supreme court and the judicial council to the end that proper action may be taken;(c) To examine the statistical reports of the courts and make recommendations to the supreme court and the judicial council for a uniform system of statistics; and(d) To attend to such other matters as may be assigned to him by the supreme court or the judicial council.