Question

You estimate that your friend is 50 inches tall. That actual height of your friend is 54 inches. Find the percent error.

Answer 1

To find the percent error, calculate the absolute difference between the estimated height and the actual height, and divide it by the actual height. Finally, multiply the result by 100 to get the percentage.

Step-by-step explanation:

To find the percent error, we need to calculate the absolute difference between the estimated height and the actual height, and then divide it by the actual height.

Finally, we multiply the result by 100 to get the percentage.

Step 1: Determine the difference between estimated and actual height.

Difference = Actual height - Estimated height

Difference = 54 inches - 50 inches

Difference = 4 inches

Step 2: Calculate the absolute value of the difference.

Absolute value of the difference = |4 inches|

Absolute value of the difference = 4 inches

Step 3: Divide the absolute difference by the actual height and multiply by 100% to get the percent error.

Percent Error = (Absolute difference / Actual height) × 100%

Percent Error = (4 inches / 54 inches) × 100%

Percent Error ≈ 7.41%

Therefore, the percent error in your estimation of your friend's height is approximately 7.41%.

Answer 2

Answer: -7.408%

Explanation: The formula for percent error is:
(experimental - theoretical) / theoretical * 100. The experimental value is 50, or your guess. The theoretical value is 54, or the actual value. The theoretical value is the value it should be.

(50-54)/54 = -.074 * 100 = -7.408%