Number of Candidates (x1000) = 2014=840 - 2015=891 - 2016=350 - 2017=960 - 2018=954

In the table, the number of final year candidates who applied to SYS between 2014-2018 is given approximately. Since it is known that approximately 40% of the candidates applying for university exam between these years are senior class candidates, the value in the table for 2016 attracts attention. This value, which is entered incorrectly in the table, should be corrected. Answer the following questions by considering the given. (Note that this value has been replaced by 950, the real value from SYM, after a while after you have made your calculations.)

(SYM IS THE INSTITUTION ORGANIZING THE EXAM)

2-Calculate the approximate number of candidates for 2016 using the Lagrangian interpolation method. (When using polynomial, use the first 3 terms.) Calculate the Absolute Error and Relative Error values included in your solution.