Problem $3.(12$ pt$.)$ Find the ultimate carrying load for a pile installed in a sandy soil that has the N$60$ data below. The pile is $10$ m long and has a diameter of $0\mathrm{.}35$ m $.$

$\backslash$table$[[$Depth $(m),$N $60],[2,5],[3\mathrm{.}5,6],[5,5],[6\mathrm{.}5,9],[8,10],[9\mathrm{.}5,8],[11,15],[12\mathrm{.}5,17],[14,20],[15\mathrm{.}5,19]]$