Question

From the measured values shown, determine if the measurements are within the required precision. Show all computations. Allowable precision is 1/5000.Determine the most probable value of the interior angles.If the measured distance are 220.87,220.90,220.93,220.81 and 220.89.

Answer 1

Σ distance = 220.87 + 220.90 + 220.93 + 220.81 + 220.89

=1,104.4

∴ Weighted arithmetic mean =$\tfrac{1104.4}{5}$

= 220.88

the most probable value = 220.88 +$\frac{1}{5000}$ or 220.88 -$\frac{1}{5000}$

=220.8802 or 220.8798