Absolute Error and Relative Error

The actual weight of a body is $6.35\mathrm{kg}$. It is measured and found to have a value of $6.29\mathrm{kg}$. Find absolute error and relative error

A boy measured the area of a rectangle plot to be $450 {\mathrm{cm}}^2$. But the actual area of the plot has been recorded as $454{ \mathrm{cm}}^2$. Calculate the percent error of his measurement. [Write the answer up to two decimal places and in $\%$.]

A boy measured the area of a rectangle plot to be $466 {\mathrm{cm}}^2$. But the actual area of the plot has been recorded as $474 {\mathrm{cm}}^2$. Calculate the percent error of his measurement. [Write the answer up to two decimal places and in $\%$.]

A boy measured the area of a rectangle plot to be $466 {\mathrm{cm}}^2$. But the actual area of the plot has been recorded as $470{ \mathrm{cm}}^2$. Calculate the percent error of his measurement. [Write the answer up to two decimal places and in $\%$.]

A boy measured the area of a rectangle plot to be $470 {\mathrm{cm}}^2$. But the actual area of the plot has been recorded as $472 {\mathrm{cm}}^2$. Calculate the percent error of his measurement. [Write the answer up to two decimal places and in $\%$.]

A boy measured the area of a rectangle plot to be $468 {\mathrm{cm}}^2$. But the actual area of the plot has been recorded as $470{ \mathrm{cm}}^2$. Calculate the percent error of his measurement. [Write the answer up to two decimal places and in $\%$.]

Find the absolute and relative errors. The actual value is $252.14 \mathrm{mm}$ and the measured value is $250.02 \mathrm{mm}$

Find the absolute and relative errors. The actual value is $120.68 \mathrm{mm}$ and the measured value is $119.66 \mathrm{mm}$

Find the absolute and relative errors. The actual value is $225.68 \mathrm{mm}$ and the measured value is $119.66 \mathrm{mm}$

Find the absolute and relative errors. The actual value is $252.14 \mathrm{mm}$ and the measured value is $249.02 \mathrm{mm}$

Find the absolute and relative errors. The actual value is $125.68 \mathrm{mm}$ and the measured value is $119.66 \mathrm{mm}$

There are a certain number of students in a class. This is approximated to the nearest hundreds. Approximate value is $600$ and absolute error is $25$. If exact value is more than approximated value, then find the relative error. (Correct to two decimal places)

There are a certain number of students in a class. This is approximated to the nearest hundreds. Approximate value is $600$ and absolute error is $25$. If exact value is less than approximated value, then find the relative error. (Correct to two decimal places)

A factory manufactured $3891$ bolts and this is approximated to the nearest thousands. Find the absolute error.

When a number is approximated to the nearest hundreds, the approximated value is $600$ and absolute error is $24$. Then the exact number is _____.

There are $25425$ people in a town. This is approximated to the nearest thousands. Calculate the relative error. (Correct to two decimal places)

A factory manufactured $2678$ bolts and this is approximated to the nearest thousands. Find the absolute error.

Find the average absolute error in the following readings of period of oscillation of a simple pendulum: $2.63 \mathrm{s}, 2.56 \mathrm{s}, 2.42 \mathrm{s}, 2.71 \mathrm{s}$ and $2.80 \mathrm{s}$.

Assertion: Velocity of a particle varies as $v=2cos\left(\pi t\right) \mathrm{m} {\mathrm{s}}^{-1}$ where t is time in sec. Least count of time-measuring device is 0.1 sec. Maximum probable absolute error in measurement of velocity at $t=\frac{1}{3}$ sec. can be calculated as
$dv=\left\{{\left.\frac{\partial v}{\partial t}\right|}_{t=\frac{1}{3}\mathrm{s}\mathrm{e}\mathrm{c}\mathrm{ }}\right\}.dt$, where $dt = 0.1 \mathrm{s}$ & $dv = \text{max}$ probable error in $v$ at $t = 1/3 \mathrm{s}$.

Reason: Absolute error is equal to difference of measured value & actual value.

The initial temperature of a liquid is ${\left(80.0\pm 0.1\right)}^{°}$C. After it has been cooled, its temperature is ${\left(10.0\pm 0.1\right)}^{°}$C. The fall in temperature in degree centigrade is