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Question

The error in two readings of A are 0.01 and -0.03, then mean absolute error is?


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Solution

Step 1: Given data

The two errors in the readings of A are x1=0.01 and x2=-0.03.

Step 2: Formula used

The absolute error is calculated by the subtraction of the actual value and the measured value of a quantity.

If the actual value is x and the measured value is x, the absolute error is expressed as x=x-x, where x is the absolute error.

The mean absolute error(MAE) is the mean or average of all absolute errors, MAE=1ni=1nxi
where n is the number of observations.

Step 3: Calculate Mean absolute error

Here, number of observations are two, so n=2.

The mean absolute error (MAE) is,

MAE=12x1+x2=120.01+-0.03=120.04=0.02

Therefore, the mean absolute error of A is 0.02.


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