Scores on a mathematics assessment test for eighth-graders have a mean of 281, a

Question

Scores on a mathematics assessment test for eighth-graders have a mean of 281, a 10th percentile of 228, a 25th percentile of 255, a 75th percentile of 309, and a 90th percentile of 322. Interpret each of these numerical descriptive measures. Interpret the mean value of 281. Choose the correct answer below. For this problem, the mean value of 281 represents the variation in the test scores on a mathematics assessment test for eighth-graders. For this problem, the mean value of 281 represents the middle test score when the scores are arranged in ascending (or descending) order. For this problem, the mean value of 281 represents the range of test scores on a mathematics assessment test for eighth-graders. 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 228 means that % of the scores fall below and % of the scores fall above A 25th percentile of 255 means that % of the scores fall below and % of the scores fall above. A 75th percentile of 309 means that % of the scores fall below and %of the scores fall above. A 90th percentile of 322 means that % of the scores fall below and % of the scores fall above.

Explanation / Answer

Answer is D for the first part

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 255 means that 25% of the scores fall below 255 and 75% of the scores fall above 255

A 75th percentile of 309 means that 75% of the scores fall below 309 and 25% of the scores fall above 309

A 90th percentile of 322 means that 90% of the scores fall below 322 anf 10% of the scores fall above 322

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