Scores on a mathematics assessment test for​ eighth-graders have a mean of 283​, a 10th percentile of 232​, a 25th percentile of 255​, a 75th percentile of 304​, and a 90th percentile of 327. Interpret each of these numerical descriptive measures. Interpret the mean value of 283. Choose the correct answer below. A. For this​ problem, the mean value of 283 represents the variation in the test scores on a mathematics assessment test for​ eighth-graders. B. For this​ problem, the mean value of 283 represents the range of test scores on a mathematics assessment test for​ eighth-graders. C. For this​ problem, the mean value of 283 represents the average test score on a mathematics assessment test for​ eighth-graders. D. For this​ problem, the mean value of 283 represents the middle test score when the scores are arranged in ascending​ (or descending) order.

Answer :

Answer:

C )  For this​ problem, the mean value of 283 represents the average test score on a mathematics assessment test for​ eighth-graders.

Step-by-step explanation:

10 th  percentile of 232

10 % below 232 and 90 % above 232

25 th percentile of 255

25 % below 255 and 75 % above 255

75 th percentile of 304

75 % below 304 and 25% above 304

90 th percentile of 327

90 % below 327 and 10 % above 327 .

So counting is from below to above in ascending order .

the mean of 283 represents the average of the test score

Hence option C ) is correct .

The score of the mathematics test for the 8th class have a mean of 283 and the 10th percentile of 232, a 25th percentile of 255 nd so on.

  • As per the question the 10 th percentile of 232 , hence the 10 % below 232 and 90 % above 232 . The 25 % below 255 and 75 % above 255 , 75% below 304 and 25% above 304.
  • The 90 % below 327 and 10 % above 327 . So  in ascending order the mean of 283 represents the average of the test score.
  • Hence the option C is correct.

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