Following observations were taken with a vern | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Step $1$: Calculate the mean value of the observations.Mean value $a_{mean} = \frac{3.29 + 3.28 + 3.29 + 3.31 + 3.28 + 3.27 + 3.29 + 3.30}{8} = \f

Vedclass · Accepted Answer

$0.02 \, cm, 0.01 \, cm$

Vedclass · Answer

(A) Step $1$: Calculate the mean value of the observations.Mean value $a_{mean} = \frac{3.29 + 3.28 + 3.29 + 3.31 + 3.28 + 3.27 + 3.29 + 3.30}{8} = \frac{26.31}{8} = 3.28875 \, cm \approx 3.29 \, cm$.Step $2$: Calculate the absolute error for the fourth observation $(a_4 = 3.31 \, cm)$.Absolute error $\Delta a_4 = a_4 - a_{mean} = 3.31 - 3.29 = 0.02 \, cm$.Step $3$: Calculate the absolute error for the eighth observation $(a_8 = 3.30 \, cm)$.Absolute error $\Delta a_8 = a_8 - a_{mean} = 3.30 - 3.29 = 0.01 \, cm$.Thus,the absolute errors are $0.02 \, cm$ and $0.01 \, cm$.

Following observations were taken with a vernier callipers while measuring the length of a cylinder:
$3.29 \, cm, 3.28 \, cm, 3.29 \, cm, 3.31 \, cm, 3.28 \, cm, 3.27 \, cm, 3.29 \, cm, 3.30 \, cm$
Find the absolute error in the fourth and eighth observations.

Similar Questions

Find the relative error in $Z$,if $Z = \frac{A^{4} B^{1/3}}{C D^{3/2}}$.

If $a, b, c$ are the percentage errors in the measurement of $A, B$ and $C$,then the percentage error in $ABC$ would be approximately

$A$ metal wire has mass $(0.4 \pm 0.002) \, g$,radius $(0.3 \pm 0.001) \, mm$ and length $(5 \pm 0.02) \, cm$. The maximum possible percentage error in the measurement of density will nearly be $.......\%$

The percentage error in the measurement of $g$ is $.....\%$ (Given that $g = \frac{4 \pi^2 L}{T^2}$,$L = (10 \pm 0.1) \, cm$,$T = (100 \pm 1) \, s$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Following observations were taken with a vernier callipers while measuring the length of a cylinder:$3.29 \, cm, 3.28 \, cm, 3.29 \, cm, 3.31 \, cm, 3.28 \, cm, 3.27 \, cm, 3.29 \, cm, 3.30 \, cm$Find the absolute error in the fourth and eighth observations.