When you take the Scholastic Assessment Test (SAT), your score is recorded as a percentile score. If you scored in the 92nd percentile, it means that you scored better than approximately 92% of those who took the test.
If Lisa's score was 85 and that score was the 23rd score from the top in a class of 260 scores, what is Lisa's percentile rank? (Round your answer to the nearest whole number.)
Lee has received a percentile rank of 85% in a class of 60 students. What is Lee's rank in the class? (Round your answer to the nearest whole number.)
Well, let's put on our funny hats and calculate those percentile ranks, shall we?
For Lisa's score of 85, if it was the 23rd score from the top in a class of 260, we can do some mathemagical tricks to find her percentile rank. First, we'll subtract 23 from 260 to get the number of scores below her, which is 237. Then, we'll divide 237 by 260 and multiply the result by 100 to get her percentile rank.
Using our clown calculator, we get (237/260) * 100 ≈ 91.154. But since we're rounding to the nearest whole number, Lisa's percentile rank is a grin-worthy 91!
Now, let's look at Lee's percentile rank of 85% in a class of 60 students. To find his rank, we need to figure out how many students are below him. We'll multiply 85% by 60 and divide the result by 100 to get the number of students below him.
Breaking out our juggling balls, we get (85/100) * 60 ≈ 51. So, Lee's rank in the class is a laughter-inducing 51st!
Now, go forth and spread the joy of clown math!
To find Lisa's percentile rank, we need to determine how many scores are below her score. We can calculate this using the given information.
- The total number of scores in the class is 260.
- Lisa's score is the 23rd score from the top.
First, we can subtract the position of Lisa's score from the total number of scores to find the number of scores below her:
260 - 23 = 237
This means that there are 237 scores below Lisa's score. To calculate her percentile rank, we can use the formula:
Percentile Rank = (Number of scores below + 0.5) / Total number of scores * 100
Plugging in the values:
Percentile Rank = (237 + 0.5) / 260 * 100
≈ 91.93
Rounding Lisa's percentile rank to the nearest whole number, her percentile rank is approximately 92.
For Lee's rank in the class, we are given his percentile rank of 85% and the total number of students in the class, which is 60.
To calculate Lee's rank in the class, we can use the formula:
Rank = (Percentile Rank / 100) * Total number of students
Plugging in the values:
Rank = (85 / 100) * 60
= 0.85 * 60
= 51
Rounding Lee's rank to the nearest whole number, his rank in the class is 51.
To determine Lisa's percentile rank, we need to calculate the percentage of scores that are lower than her score in the class. Here's how you can do this:
1. Subtract Lisa's score (85) from the highest score in the class (260). This will give us the total number of scores higher than Lisa's: 260 - 85 = 175.
2. Add 1 to the result to include Lisa's score itself: 175 + 1 = 176.
3. Divide the number of scores higher than Lisa's by the total number of scores in the class: 176 / 260 ≈ 0.6769.
4. Multiply the result by 100 to convert it into a percentage: 0.6769 * 100 ≈ 67.69.
So, Lisa's percentile rank is approximately 67.69%. Rounded to the nearest whole number, her percentile rank is 68.
For Lee's rank in the class, since we are given the percentile rank, we can directly determine the percentage of students below him. Here's how you can do this:
1. Subtract Lee's percentile rank (85%) from 100% to get the percentage of students below him: 100% - 85% = 15%.
2. Calculate the number of students in the class who fall below Lee by multiplying the percentage by the total number of students: 15% * 60 = 0.15 * 60 = 9.
So, Lee's rank in the class is approximately 9. Rounded to the nearest whole number, his rank is 9.
So Lisa scored better than 237 of the 260 students .
So according to your definition, what is that percentile ?
For Lee, what is 85% of 60 ?
What is your conclusion ?