Question

Which of the following values make more sense to you or more accurate in terms of percentage error:

a) (Minus) - 0.02
b) 0.05
c) 0.10
d) 0.15

Answer 1

To determine which value makes more sense in terms of percentage error, we should compare the values to the expected or true value. Based on the calculated percentage errors, option d) 0.15 has the lowest percentage error and therefore makes more sense or is more accurate.

Step-by-step explanation:

To determine which value makes more sense in terms of percentage error, we should compare the values to the expected or true value. The percentage error is calculated by dividing the absolute value of the difference between the expected value and the measured value by the expected value, and then multiplying by 100 to express it as a percentage.

Let's assume the expected value is 1. In this case, the percentage errors for each option would be:

1. a) (Minus) - 0.02: The difference is 1.02, resulting in a percentage error of 102%.
2. b) 0.05: The difference is 0.95, resulting in a percentage error of 95%.
3. c) 0.10: The difference is 0.9, resulting in a percentage error of 90%.
4. d) 0.15: The difference is 0.85, resulting in a percentage error of 85%.

Based on these calculations, option d) 0.15 has the lowest percentage error and therefore makes more sense or is more accurate.