Question

There were 34 questions on a test. Even the best student in the class only got 22 correct. What was the best student's percent error, rounded to 2 sig. fig.?

a) 35.29%
b) 35.30%
c) 35.71%
d) 35.70%

Answer 1

The best student's percent error, when rounded to two significant figures, is 35.29%, which is found by subtracting the number of correct answers from the total number of questions, dividing by the total number of questions and then converting to a percentage.

Step-by-step explanation:

The question asks about calculating the percent error for a student's test score. Percent error is found by taking the absolute value of the difference between the expected value (the total number of questions, which is 34) and the observed value (the number of correct answers, which is 22), dividing by the expected value, and then multiplying by 100 to get the percentage. Here's the step-by-step calculation:

1. Subtract the number of correct answers (22) from the total number of questions (34) to find the error: 34 - 22 = 12.
2. Divide the error (12) by the total number of questions (34) to find the error rate: 12 / 34 = 0.35294.
3. Multiply by 100 to convert to a percentage: 0.35294 × 100 = 35.294%.
4. Round to two significant figures: 35.29%.

The best student's percent error, when rounded to two significant figures, is 35.29%, which corresponds to option (a).