Final answer:
Nathan answered 84% of the questions correctly. He answered 21 out of 25 questions, and calculating the percentage gives us an exact value of 84%. This score might compare favorably to percentile-based benchmarks, depending on the context.
Step-by-step explanation:
Nathan answered 21 out of 25 questions correctly on his assessment. To calculate the percentage of questions he answered correctly, we use the formula: Percentage = (Number of Correct Answers / Total Questions) × 100. Plugging in Nathan's numbers, we get: Percentage = (21 / 25) × 100 = 0.84 × 100 = 84%. Therefore, Nathan answered 84 percent of the questions correctly.
Understanding percentiles can also be helpful in evaluating performance. For example, if the 70th percentile for a similar test was 16 correct answers out of 20, it means that Nathan did better than 70% of the test takers if we apply the concept to his situation.
When guessing randomly on a test, the probability of achieving a high score decreases significantly. If a student were to guess on a true-false quiz with 10 questions, the probability of passing with at least a 70 percent is quite low. This highlights the importance of studying to ensure a strong understanding of the material and increase the chances of a high score.