The length of a rod as measured in an experiment is found to be 2.48 m, 2.46 m , 2.49 m , 2.49 m and 2.46 m. Find the average length , the absolute error in each observation and the percentage error.

Explanation

Average length
`=(2.48+2.46+2.49+2.50+2.48)/(5)=(12.41)/(5)=2.48m`
Mean absolute error `=(0.00+0.02+0.01+0.02+0.00)/(5)=(0.05)/(5)=0.013m`
Percentage error = `(0.01)/(2.48) × 100% = 0.04 × 100%`
`= 0.40%`
Correct length = `(2.48 ± 0.01)m`
Correct length = `(2.48m ± 0.40%)`