High School

If the heights of each person in a laboratory group are measured using a meter stick accurate to the nearest mm, the measurements are as follows:

- Khalid: 1.92 m
- Sandra: 1.69 m
- Kris: 1.74 m
- Blake: 1.53 m

Express the uncertainty of each height as an absolute number and as a percentage.

Answer :

Final answer:

The uncertainties for the heights of each person in the laboratory group are as follows:

Khalid: 1.92 m ± 0.001 m (0.1% uncertainty)

Sandra: 1.69 m ± 0.001 m (0.1% uncertainty)

Kris: 1.74 m ± 0.001 m (0.1% uncertainty)

Blake: 1.53 m ± 0.001 m (0.1% uncertainty)

Explanation:

When measurements are made, there is always some degree of uncertainty involved, especially when using instruments with limited precision. In this case, a meter stick accurate to the nearest millimeter (mm) is used. The absolute uncertainty is determined by the smallest division of the instrument, which is 1 mm.

For Khalid, his height is measured as 1.92 meters. The absolute uncertainty is ± 0.001 m (1 mm), which is 0.1% of his height (0.001 m / 1.92 m x 100% = 0.1%).

Similarly, for Sandra, Kris, and Blake, the absolute uncertainty is ± 0.001 m, and the percentage uncertainty is 0.1% for each of them. This means that the measurements for all individuals have an uncertainty of 0.1% due to the limitation of the measuring instrument.

Expressing uncertainty in both absolute and percentage terms is essential in scientific and engineering contexts, as it helps convey the precision and reliability of the measurements.

Learn more about uncertainties

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