$1-$What are the area of a rectangular field and its estimated error for the following recorded value?

$243\mathrm{.}89+$or$-0\mathrm{.}05$ ft$,$ by $208\mathrm{.}65+$or$-0\mathrm{.}04$ ft

$($a$)$ Calculate the area?

Group of answer choices

$50887$

$40887$

$30887$

$20887$

$2-$For the previous question:

What is the area of a rectangular field and its estimated error for the following recorded value?

$243\mathrm{.}89+$or$-0\mathrm{.}05$ ft$,$ by $208\mathrm{.}65+$or$-0\mathrm{.}04$ ft

$($b$)$ Calculate the estimated error?

Group of answer choices

$+$or$-4\mathrm{.}32$

$+$or$-1\mathrm{.}44$

$+$or$-14\mathrm{.}28$

$+$or$-28\mathrm{.}14$

$3-$What is the most probable value for the following set of $10$ distance observations in meters?

$532\mathrm{.}688,532\mathrm{.}682,532\mathrm{.}682,532\mathrm{.}684,532\mathrm{.}689,532\mathrm{.}686,532\mathrm{.}690,532\mathrm{.}684,532\mathrm{.}686,532\mathrm{.}686.$

Group of answer choices

$53268$

$868\mathrm{.}532$

$532\mathrm{.}686$

$5\mathrm{.}32$

$4-$What is the standard deviation of the adjusted value in Problem$\mathrm{.}4?$

Group of answer choices

$+$or$-0\mathrm{.}00278$

$+$or$-0\mathrm{.}25$

$+$or$-0\mathrm{.}117$

$+$or$-0\mathrm{.}95$