Question

scores on a mathematics assessment test for eighth - graders have a mean of 281, a 10th percentile of 231, a 25th percentile of 251, a 75th percentile of 301, and a 90th percentile of 329. interpret each of these numerical descriptive measures. a. for this problem, the mean value of 281 represents the range of test scores on a mathematics assessment test for eighth - graders. b. for this problem, the mean value of 281 represents the variation in the test scores on a mathematics assessment test for eighth - graders. c. for this problem, the mean value of 281 represents the middle test score when the scores are arranged in ascending (or descending) order. d. for this problem, the mean value of 281 represents the average test score on a mathematics assessment test for eighth - graders. a 10th percentile of 231 means that 10% of the scores fall below 231 and 90% of the scores fall above 231. a 25th percentile of 251 means that 25% of the scores fall below 251 and 75% of the scores fall above 251. a 75th percentile of 301 means that 75% of the scores fall below 301 and 25% of the scores fall above 301. a 90th percentile of 329 means that 90% of the scores fall below 329 and 10% of the scores fall above 329.

Explanation:

The percentile of a score represents the percentage of scores that fall below that score. For example, the 10th percentile of 231 means 10% of the scores fall below 231 and 90% fall above. Similarly, the 25th percentile of 251 means 25% of scores are below 251 and 75% are above, the 75th percentile of 301 means 75% of scores are below 301 and 25% are above, and the 90th percentile of 329 means 90% of scores are below 329 and 10% are above. The mean value of 281 represents the average test - score.

Answer:

A. For this problem, the mean value of 281 represents the average test score on a mathematics assessment test for eighth - graders.
B. For this problem, the 10th percentile of 231 means that 10% of the scores fall below 231 and 90% of the scores fall above 231.
C. For this problem, the 25th percentile of 251 means that 25% of the scores fall below 251 and 75% of the scores fall above 251.
D. For this problem, the 75th percentile of 301 means that 75% of the scores fall below 301 and 25% of the scores fall above 301.
E. For this problem, the 90th percentile of 329 means that 90% of the scores fall below 329 and 10% of the scores fall above 329.