AIIMS 2019 Physics Mean Percentage Error MCQ Question
The mean percentage error can be calculated as,
MPE = \frac{1}{n} \left( \frac{x - \bar{x}}{x} \right) 100%
The mean value of the errors is calculated as,
$$\text = \frac{80 + 80.5 + 81 + 81.5 + 82}{5} = 81
| x | x - \bar{x} | \frac{x - \bar{x}}{x} |
|---|---|---|
| 80.0 | 1.0 | 0.0125 |
| 80.5 | 0.5 | 0.0062 |
| 81.0 | 0 | 0 |
| 81.5 | 0.5 | 0.0061 |
| 82.0 | 1.0 | 0.0122 |
Sum = 0.037
0.74%
0.37%
0.47%
0.57%
Correct Answer
Detailed Explanation
The mean percentage error (MPE) is calculated using the formula . In this case, the sum of the fractional errors is 0.037, and when divided by the number of observations (5) and multiplied by 100%, the result is , which is then divided by 10 to yield 0.74%. Other options are incorrect as they do not reflect the accurate calculation of the MPE based on the provided data.
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