In an experiment, the temperature of a sample is measured as 16

degrees Celsius.

If the percent error is 0.75%,
how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?

Responses

16±0.047
16±0.047

16±12
16±12

16±4.7
16±4.7

16±0.12
16±0.12

1 answer

To calculate the absolute error from the percent error, we can use the following formula:

\[ \text{Absolute Error} = \left(\frac{\text{Percent Error}}{100}\right) \times \text{Actual Value} \]

Given that the percent error is 0.75% and the actual value (temperature) is 16 degrees Celsius, we can substitute these values into the formula:

\[ \text{Absolute Error} = \left(\frac{0.75}{100}\right) \times 16 \]

Calculating this gives:

\[ \text{Absolute Error} = 0.0075 \times 16 = 0.12 \]

Therefore, we can report the temperature of the sample as:

\[ 16 \pm 0.12 \]

The correct response is:

16±0.12