Question

scores on a mathematics assessment test for eighth - graders have a mean of 284, a 10th percentile of 228, a 25th percentile of 257, a 75th percentile of 308, and a 90th percentile of 328. interpret each of these numerical descriptive measures.
interpret the mean value of 284. choose the correct answer below.
a. for this problem, the mean value of 284 represents the variation in the test scores on a mathematics assessment test for eighth - graders.
b. for this problem, the mean value of 284 represents the range of test scores on a mathematics assessment test for eighth - graders.
c. for this problem, the mean value of 284 represents the average test score on a mathematics assessment test for eighth - graders.
d. for this problem, the mean value of 284 represents the middle test score when the scores are arranged in ascending (or descending) order.
a 10th percentile of 228 means that 10% of the scores fall below 228 and 90% of the scores fall above 228.
a 25th percentile of 257 means that 25% of the scores fall below 257 and 75% of the scores fall above 257.
a 75th percentile of 308 means that 75% of the scores fall below 308 and 25% of the scores fall above 308.
a 90th percentile of 328 means that % of the scores fall below and % of the scores fall above.

Explanation:

The concept of percentile is used. The \(n\)th percentile means that \(n\%\) of the data values are less than or equal to that value and \((100 - n)\%\) of the data values are greater than that value.

Answer:

A 90th percentile of 328 means that \(90\%\) of the scores fall below \(328\) and \(10\%\) of the scores fall above \(328\).