Question

One of the authors received a credit card bill for 2884. They included a charge of 100I mean a 1903, that was not valid. Find the value of the absolute and religious errors. What is the value of the absolute arrow? And what is the value? A related error random of doing this nearest dance. I mean, rounded to the nearest integra, as needed answer pleas

Answer 1

To determine the absolute and relative errors with the given details, we first need to outline the information clearly.

1. Total Credit Card Bill: 2884
2. Invalid Charge: 1903

Step 1: Calculate the Absolute Error

The absolute error is the difference between the actual value and the measured value. In this case, the actual value is the bill without the invalid charge, and the measured value is the bill including the invalid charge.

Actual bill without invalid charge:
$$2884-1903=981$$

Absolute Error: $$\text{Absolute Error}=|\text{Measured Value}-\text{Actual Value}|$$ $$=|2884-981|$$ $$=|1903|$$ $$=1903$$

Step 2: Calculate the Relative Error

The relative error is the absolute error divided by the actual value (in this case, the correct bill amount without the invalid charge), often expressed as a percentage.

Relative Error: $$\text{Relative Error}=\frac{\text{Absolute Error}}{\text{Actual Value}}$$ $$=\frac{1903}{981}$$ Calculating this gives: $$\text{Relative Error}\approx 1.939$$ To convert this to a percentage, multiply by 100: $$\text{Relative Error}\approx 193.9$$

Summary

• Absolute Error: 1903
• Relative Error: Approximately 193.9%

Ensure that you interpret "rounded to the nearest integer" to mean rounding the relative error percentage. Therefore:

• Rounded Relative Error: 194%

If further clarification is required on aspects of the problem, please let me know!