In the field of experimental sciences and data analysis, it is crucial to comprehend and compute the percent error. Percent error offers important insights into the dependability of your data, whether you're comparing experimental results to theoretical values or evaluating the precision of measurements. Now, let's examine how to calculate % error step-by-step using a real-world scenario.

Let's first clarify the values we will be using:

- Experimental Value ( $a$ ): 300
- Theoretical Value ( $b$ ): 500

The formula for calculating percent error is as follows:.

$\mathrm{\%}\text{Error}=\left(\frac{\mathrm{abs(}a-b\mathrm{)}}{b}\right)\times 100$

Now, plug in the provided values into the equation:

$\mathrm{\%}\text{Error}=\left(\frac{\mathrm{abs(}300-500\mathrm{)}}{500}\right)\times 100$

Simplify the expression:

$\mathrm{\%}\text{Error}=\left(\frac{200}{500}\right)\times 100$

$\mathrm{\%}\text{Error}=\left(0.4\right)\times 100$

$\mathrm{\%}\text{Error}=40$

Hence, the percentage discrepancy between the observed value of 300 and the expected value of 500 is 40%.

By adhering to these instructions, one can precisely determine the percentage error between two figures. It is important to note that percentage error offers valuable insights into the precision of experimental outcomes and aids in pinpointing areas that require enhancement in experimental techniques or measurements.

Ensure the reliability and robustness of your scientific conclusions by integrating these steps into your data analysis toolkit.

- What is 30% of 500 = 150.00
- 250 is what % of 300 = 83.33%
- 250 is what % of 400 = 62.50%
- What is the percentage increase/decrease from 200 to 250 = 25.00%
- What is the percentage increase/decrease from 500 to 1000 = 100.00%
- What is 500 increased by 40% = 700.00
- What is 10% off 700 = 630.00
- Percent error between 300 and 500 = 40.00%
- What is percent 450 to decimal = 4.50
- What is decimal 3 to percent = 300.00