Time intervals measured by a clock give the following readings: 1.25 s, 1.24 s, 1.27 s, 1.21 s and 1.28 s What is the percentage relative error of the observations ?

Question

Time intervals measured by a clock give the following readings: 1.25 s, 1.24 s, 1.27 s, 1.21 s and 1.28 s What is the percentage relative error of the observations ? (A) 2 % (B) 4 % (C) 16 % (D) 1.6 %

Tardigrade Admin · Accepted Answer

Mean of observation =(1.25+1.24+1.27+1.21+1.28/5) =1.25 sec Mean of error =(0+0.01+0.02+0.04+0.03/5) =(0.1/5) % error =(0.1 × 100/5 × 1.25) =1.6 %

Q. Time intervals measured by a clock give the following readings :
$1.25 s, 1.24 s, 1.27 s, 1.21 s$ and $1.28 s$
What is the percentage relative error of the observations ?

2 %

4 %

16 %

1.6 %

Mean of observation
$= \frac{1.25 + 1.24 + 1.27 + 1.21 + 1.28}{5}$
$= 1.25 sec$
Mean of error
$= \frac{0 + 0.01 + 0.02 + 0.04 + 0.03}{5}$
$= \frac{0.1}{5}$
% error $= \frac{0.1 \times 100}{5 \times 1.25}$
$= 1.6%$

Q. Time intervals measured by a clock give the following readings : 1.25s,1.24s,1.27s,1.21s and 1.28s What is the percentage relative error of the observations ?

2 %

4 %

16 %

1.6 %

Mean of observation =51.25+1.24+1.27+1.21+1.28​ =1.25sec Mean of error =50+0.01+0.02+0.04+0.03​ =50.1​ % error =5×1.250.1×100​ =1.6%

Q. Time intervals measured by a clock give the following readings :
$1.25 s, 1.24 s, 1.27 s, 1.21 s$ and $1.28 s$
What is the percentage relative error of the observations ?

Mean of observation
$= \frac{1.25 + 1.24 + 1.27 + 1.21 + 1.28}{5}$
$= 1.25 sec$
Mean of error
$= \frac{0 + 0.01 + 0.02 + 0.04 + 0.03}{5}$
$= \frac{0.1}{5}$
% error $= \frac{0.1 \times 100}{5 \times 1.25}$
$= 1.6%$