In a freefall experiment, a ball is dropped through several trials. Below is the dataset of N$15$ trials of time of fall. $0\mathrm{.}35,0\mathrm{.}42,0\mathrm{.}38,0\mathrm{.}36,0\mathrm{.}40,0\mathrm{.}37,0\mathrm{.}41,0\mathrm{.}39,0\mathrm{.}34,0\mathrm{.}43,0\mathrm{.}37,0\mathrm{.}35,0\mathrm{.}39,0\mathrm{.}36,0\mathrm{.}38.$ The acceleration due to gravity can be calculated as g is equal to $2$h over t squared where h is equal to $0\mathrm{.}50$ meters. Answer the following strictly in three decimal places. Calculate the value of g for each trial. What is the mean of g$?2.$ What is the variance of measurement of g$?3.$ What is the uncertainty then of measurement of g$?4.$ What is the true value of g is $9\mathrm{.}807$ m per second squared. What is your percent error?