Question

define the terms(1) absolute error,(2) mean absolute error,(3) relative error or faractional error,(4) percentage error​

Answer 1

Explanation:

Varun decided to write a story, but after some time, he could not complete the story as he had lost interest in it. Complete his story, on the basis of the beginning given below in about 150-200 word. Highlight the vocabulary used and also give a suitable title to it. It was 6o'clock in the evening and there was a lot of traffic on the road. Mohan was driving his new Mercedes when two teenagers on bike overtook his car.

Answer 2

$\underline{\rm\pink{Question}}$

Define the following terms -

• Absolute error
• Mean Absolute error
• Relative error or fractional error
• Percentage error

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$\underline{\rm\pink{Answer - }}$

$\underline{\rm\red{Absolute \:error }}$

It is the difference between true value and measured value.

$\rm \Delta a_1 = |\bar a - a_1 |$

$\rm \Delta a_2 = |\bar a - a_2 |$

$\rm \Delta a_n = |\bar a - a_n|$

where

$\rm a_1 , a_2 , a_n$ are values of physical quantity.

$\rm \bar a$ is the mean value of all the values.

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$\underline{\rm\red{Mean \:Absolute\: error }}$

It is the average of all absolute error.

$\boxed{\rm \Delta\bar a = \dfrac{ |\Delta a_1 | + |\Delta a_2 | - - - - |\Delta a_n | }{n}}$

where

$\rm \Delta\bar a$ is the mean absolute error.

$\rm |\Delta a_1 | , |\Delta a_2 | , |\Delta a_n |$ are the absolute error of $\rm a_1 , a_2 , a_n$ respectively.

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$\underline{\rm\red{Fractional \:error - }}$

$\boxed{\rm Fractional \:error = \dfrac{\Delta\bar a }{\bar a }}$

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$\underline{\rm\red{Percentage \:error - }}$

$\boxed{\rm Percentage \:error = \dfrac{\Delta\bar a }{\bar a } \times 100\%}$

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