Error Propagation

Systematic errors lead to a lack of:

• accuracy in the measurement.

• significant digits in the measurement.

• precision in the measurement.

• gradation of the measuring instrument

Random errors lead to a lack of:

• accuracy in the measurement.

• significant digits in the measurement.

• precision in the measurement.

• gradation of the measuring instrument

Tags

NGSS.HS-PS2-1

What is the mass and uncertainty indicated by this electronic balance?

• 198.61 ± 0.01 g

• 198.61 ± 0.02 g

• 198.61 ± 0.05 g

• 198.61 ± 0.005 g

What is the uncertainty in newtons for this scale on a force spring scale?

• ± 0.03 N

• ± 0.1 N

• ± 0.05 N

• ± 0.01 N

The length of the side of a cube is 2.0 cm ± 4 %. The mass of the cube is 24.0 g ± 8 %. What is the percentage uncertainty of the density of the cube?

• ± 2 %

• ± 8 %

• ± 12 %

• ± 20 %

Calculate the absolute uncertainty of this measurement:
2.64A±1.5%

• ±1.5A
• ±0.04A
• ±3.96A
• ±0.396

Work out the following calculation and quote the final answer with an absolute uncertainty.

67.2 ± 0.1 + 38.5 ± 0.3

Work out the following calculation and quote the final answer with an absolute uncertainty.

0.0257 ± 0.002 – 0.0120 ± 0.002

Work out the percentage uncertainties for each of the following quantity.

20.2 ± 0.1

• 0.004%

• 0.0495%

• 0.5%

• None of the above

Which of the following measurements have been quoted with respect to uncertainty correctly? Check all that apply.

• 0.1930 ± 0.0001

• 63.27 ± 5

• 10.9 ± 0.12

• 118 ± 5