Question $10(1$ point$)$

An angle is observed repeatedly using the same equipment and procedures, and the results, in Degrees$-$Minutes$-$Seconds $($DMS or DDMMSS$),$

are listed here: $73{47}^{\text{'}}{35}^{\text{'}\text{'}},73{47}^{\text{'}}{27}^{\text{'}\text{'}},73{47}^{\text{'}}{19}^{\text{'}\text{'}}.$ Calculate the standard deviation, $,$ of the angle's most probable value in seconds. Do not

report the units as part of your answer, just the numeric value to $1$ decimal assuming, also, the plus$/$minus of the uncertainty. $($I recommend that

you carry your decimals out to at least $6$ places during the interim calculations or do the calculation all in one step as $2$ L requires me to do;

otherwise your answer could be quite far off.$)$

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