Question

Calculate the average value for the following experimentally determined numbers: 2.78,2.53,2.36,2.81,and 2.37.(b) If the standard value is 2.66 , what is the percent error in your measurement? All numbers have units of cm.

Answer 1

Answer:

- the average value for the experimentally determined numbers is 2.57 cm

- the percent error in the measurement is 3.4%

Explanation:

Given information:

experimentally determined numbers = 2.78,2.53,2.36,2.81, 2.37

standard value = 2.66

(a) the average value

average value = ( 2.78+2.53+2.36+2.81+2.37)/5

                        = 12.85/5

                        = 2.57 cm

(b) the percent error in the measurement

%error = (average value - standard value/standard value)x100%

           = (2.57 - 2.66/2.66)x100%

           = 0.034 x 100%

           = 3.4%