The distribution of GRE Quantitative Reasoning scores is approximately normal with mean 153.07 and the standard deviation 9.23. The distribution of GRE Verbal Reasoning scores is approximately normal with mean 150.24 and standard deviation 9.23. The distribution of GRE Analytic Writing scores is approximately normal with mean 3.55 and standard deviation 0.86. Complete each part below. Show your work and answer each question clearly. A. Evan took the GRE in 2017 and got 160 on Quantitative Reasoning, 159 on Verbal Reasoning, and 5 on Analytical Writing. Compare his scores and rank his performance. Show your work and explain clearly. B. What percentile is Evan’s Quantitative Reasoning score? Show your work and answer the question. C. How many people did better than Evan in the Analytical Writing part? Show your work and answer the question.
The distribution of GRE Quantitative Reasoning scores is approximately normal with mean 153.07 and the standard deviation 9.23. The distribution of GRE Verbal Reasoning scores is approximately normal with mean 150.24 and standard deviation 9.23. The distribution of GRE Analytic Writing scores is approximately normal with mean 3.55 and standard deviation 0.86. Complete each part below. Show your work and answer each question clearly.
A. Evan took the GRE in 2017 and got 160 on Quantitative Reasoning, 159 on Verbal Reasoning, and 5 on Analytical Writing. Compare his scores and rank his performance. Show your work and explain clearly.
B. What percentile is Evan’s Quantitative Reasoning score? Show your work and answer the question.
C. How many people did better than Evan in the Analytical Writing part? Show your work and answer the question.
D. If Evan’s best friend Blake also took the GRE in 2017 and ranked 55th percentile for the Verbal Reasoning part, to the nearest integer, what is Blake’s score? Show your work and answer the question.
E. What percentage of people got the Verbal Reasoning scores between Blake’s and Evan’s scores? Show your work and answer the questions.
F. Evan’s cousin also took the GRE in the same year. She scored 0.78 standard deviation below the mean on the Quantitative Reasoning part. How many people did either worse than her or better than Evan on the Quantitative Reasoning par?
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