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30 May 2024, 23:50
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Minimum True Value: 100
Maximum True Value: 150
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
66% (02:13) correct
34%
(02:12)
wrong
based on 602
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In the world of science, error is the difference in the measured value and the expected true value. The value of the error percentage is given by \(|\frac{expected \ \ true \ \ value \ \ - \ \ measured \ \ value}{expected \ \ true \ \ value}|*100\).
In one such experiment, the measured value was 120 units and the error percentage was 20%.
Select for Minimum true value the least expected true value and for Maximum true value the maximum expected true value under the given constraints.
In one such experiment, the measured value was 120 units and the error percentage was 20%.
Select for Minimum true value the least expected true value and for Maximum true value the maximum expected true value under the given constraints.
| Minimum True Value | Maximum True Value | |
| 96 | ||
| 100 | ||
| 120 | ||
| 144 | ||
| 150 | ||
| 200 |
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Official Answer
Minimum True Value: 100
Maximum True Value: 150
02 Jun 2024, 08:54
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I have a doubt about the minimum value, is it because you are evaluating both +/- error percentage?
so if ETV = 100 --> (100-120)/100 * 100 = -20
and if ETV = 150 --> (150-120)/150 * 100 = 20
so if ETV = 100 --> (100-120)/100 * 100 = -20
and if ETV = 150 --> (150-120)/150 * 100 = 20
02 Jun 2024, 09:22
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The error % is |(True-measured)/True|*100.
Now, the measured value is 120 and error % is 20%.
Minimum True value: When 120 is upper end of the error, that is20%, so 120% of true value = 120 or true value = 100.
Maximum True value: When 120 is at the lower end of the error, that is20%, so 80% of true value = 120 or true value = 150.
demawtf, you are correct in your observation.
Now, the measured value is 120 and error % is 20%.
Minimum True value: When 120 is upper end of the error, that is20%, so 120% of true value = 120 or true value = 100.
Maximum True value: When 120 is at the lower end of the error, that is20%, so 80% of true value = 120 or true value = 150.
demawtf, you are correct in your observation.
