Question

The readings of a measurement are given as
3.29.3.28 3.27, 3.26 Then fina most accurate length
(true value) find mean absolute error, relative error,
". emor, reading of measurement.​

Answer 1

Explanation:

true value is the average of all observations

=( 3.29 + 3.28 + 3.27 + 3.26 )/ 4

= 13.10/ 4 = 3 .275

absolute error in 1. = 0.015

2. = 0.005

3. = 0.005

4. = 0.015

mean absolute error = ( 0.015 + 0.005 + 0.005 + 0.015)/4 = (0.030 + 0.010)/4 = 0.040 /4 = 0.010

relative error = mean absolute error/ mean value

= 0.010/ 3.275

true value lies between the range ( 3.265 ) and (3.285)