$2\mathrm{.}3$ Compute the mean, standard deviation, and estimated standard error of the mean for each of the following sets of repeated measurements:

$\backslash$table$[[($I$),($II$),($III$)],[54\mathrm{.}32$ ft$,41{29}^{\text{'}}{44}^{\text{'}\text{'}},614\mathrm{.}1$ m$],[54\mathrm{.}31$ ft$,41{29}^{\text{'}}{40}^{\text{'}\text{'}},614\mathrm{.}3$ m$],[54\mathrm{.}30$ ft$,41{29}^{\text{'}}{46}^{\text{'}\text{'}},614\mathrm{.}2$ m$],[54\mathrm{.}35$ ft$,41{29}^{\text{'}}{38}^{\text{'}\text{'}},614\mathrm{.}5$ m$],[54\mathrm{.}31$ ft$,,614\mathrm{.}2$ m$],[,,614\mathrm{.}7$ m$]]$

$2\mathrm{.}4$ A distance is measured to be $456\mathrm{.}3$ ft with an estimated standard error of $+-0\mathrm{.}1$ ft $.$ Compute for this measured distance:

a$.$ the probable error,

b$.$ the maximum error,

c$.$ the relative precision at $1,$

d$.$ the relative precision at $3.$