Questions: Angela took a general aptitude test and scored in the 82nd percentile for aptitude in accounting.
(a) What percentage of the scores were at or below her score?
[Select ]
(b) What percentage were above?
[Select]
Transcript text: Angela took a general aptitude test and scored in the 82nd percentile for aptitude in accounting.
(a) What percentage of the scores were at or below her score?
[Select ]
(b) What percentage were above?
[Select]
Solution
Solution Steps
To solve this problem, we need to understand the concept of percentiles. The 82nd percentile means that Angela scored better than 82% of the people who took the test. Therefore, 82% of the scores were at or below her score. To find the percentage of scores above her score, we subtract the percentile from 100%.
Step 1: Understanding Percentiles
The 82nd percentile indicates that Angela scored better than 82% of the test-takers. This means that 82% of the scores are at or below her score.
Step 2: Calculating the Percentage of Scores at or Below
The percentage of scores at or below Angela's score is directly given by the percentile. Therefore, the percentage is:
\[ \text{Percentage at or below} = 82\% \]
Step 3: Calculating the Percentage of Scores Above
To find the percentage of scores above Angela's score, we subtract the percentile from 100%:
\[ \text{Percentage above} = 100\% - 82\% = 18\% \]