Simon is expecting a new baby sitter. Simon predicts the baby will weigh 6 and one-half pounds at birth. Calculate the percent error of Simon estimate if the baby’s weight at birth is 8 and one-quarter pound

Answer 1

To calculate the percent error of Simon's estimate, we can use the formula for percent error:

\[ \text{Percent Error} = \frac{\left| \text{Estimated Value} - \text{Actual Value} \right|}{\text{Actual Value}} \times 100 \]

In your case:

• Estimated Value = 6.5 pounds
• Actual Value = 8.25 pounds

Now, we will plug these values into the formula:

1. Calculate the absolute error: \[ |\text{Estimated Value} - \text{Actual Value}| = |6.5 - 8.25| = |-1.75| = 1.75 \]

2. Now, substitute the values into the percent error formula: \[ \text{Percent Error} = \frac{1.75}{8.25} \times 100 \]

3. Calculate the fraction: \[ \frac{1.75}{8.25} \approx 0.2121 \]

4. Now convert this to a percentage: \[ 0.2121 \times 100 \approx 21.21% \]

Therefore, the percent error of Simon's estimate is approximately 21.21%.