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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, 90th percentile of 329. interpret each of these numerical descriptive measures. interpret the mean value of 281. choose the correct answer below. 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 % of the scores fall below and % of the scores fall above
The mean is the sum of all values divided by the number of values, representing the average. A percentile indicates the percentage of data - points that fall below a particular value. For the 25th percentile, by definition, 25% of the scores fall below it and 75% fall above it.
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A 25th percentile of 251 means that 25% of the scores fall below 251 and 75% of the scores fall above 251.