You are one of the finalists at a science fair. The scores of the other finalists are 87, 89, 81, 85, 87, 83, 86, 94, 90, 97, 80, 89, 85, and 88. Write an inequality that represents your possible scores if your percentile rank is 80.

sort the scores in order.

Find the lowest score greater than 80% of them. That is the 80th percentile score.

What is "them," exactly?

ummm. The scores. If there are 10 scores, the 80th percentile ends at the 8th score. That is 80% of the scores.

Extra credit: what is "context"?

Never mind, I was confused because there are 14 scores and 80% of 14 is 11.2. I now know that is estimated to the 11th number. Thanks!

To write an inequality that represents your possible scores given a percentile rank of 80, we need to determine the score below which 80% of the scores fall.

First, we need to find the number of scores that correspond to the 80th percentile. Since there are 14 scores in total, we calculate 80% of 14 by multiplying 14 by 0.8, resulting in 11.2.

Next, we sort the scores in ascending order: 80, 81, 83, 85, 85, 86, 87, 87, 88, 89, 89, 90, 94, 97.

Since the 80th percentile lies between the 11th and 12th scores (which are both 89), we can say that any score less than or equal to 89 would keep your percentile rank at or below 80.

Therefore, the inequality that represents your possible scores is:

Your score ≤ 89