$(30pt)$ Using the test data presented in the table for random concentrated load and random umiformly distributed load acting on a structure:

Calculate the sample mean, sample variance, and sample coefficient of variation for each random load.

Calculate the sample covariance and sample correlation coefficient for the two random loads. Are the variables strongly correlated?

$2$

$\backslash$table$[[$Sample Number,P$1($KN$),$P$2($KN$/$m$),$Sample Number,P$1($KN$),$P$2($KN$/$m$)],[1,22\mathrm{.}7293,12\mathrm{.}0545,11,24\mathrm{.}8643,18\mathrm{.}8641],[2,34\mathrm{.}0272,10\mathrm{.}2886,12,38\mathrm{.}4490,11\mathrm{.}0188],[3,31,3139,11\mathrm{.}4124,13,29\mathrm{.}9795,13\mathrm{.}7911],[4,26\mathrm{.}4556,13\mathrm{.}1344,14,31\mathrm{.}3189,18\mathrm{.}0651],[5,39\mathrm{.}2925,14\mathrm{.}0246,15,26\mathrm{.}2877,10\mathrm{.}9891],[6,23\mathrm{.}6189,10\mathrm{.}4054,16,26\mathrm{.}3766,18\mathrm{.}0177],[7,28\mathrm{.}6451,13\mathrm{.}4117,17,26\mathrm{.}0653,18\mathrm{.}1198],[8,29\mathrm{.}8461,12\mathrm{.}5799,18,29\mathrm{.}9795,11\mathrm{.}0475],[9,26\mathrm{.}9994,11\mathrm{.}0767,19,26\mathrm{.}2877,10\mathrm{.}9891]]$