19. According to the creators of the GRE (see table below), the average score on

Question

19. According to the creators of the GRE (see table below), the average score on the Verbal Reasoning Test is 150.05, with a standard deviation of 8.43, and the average score on the Analytical Writing Test is 3.50, with a standard deviation of 0.87.

Mo Wang scored 158 on the Verbal Reasoning Test and 4.50 on the Analytical Writing Test. On which test did he do relatively better? (Show your work).

Table 1A: Performance Statistics on the GRE General Test Based on the performance of all individuals who tested between July 1, 2014, and June 30, 2017) Number of Test Standard Test Verbal Reasoning Measure Quantitative Reasoning Measure Analytical Writing Measure Takers 1,727,225 1,730,288 1,722,231 150.05 152.80 .50 Deviation 8.43 9.13 0.87 Note: A total of 52 percent of test takers indicated they were female, 46 percent indicated they were male, and 2 percent did not provide any classification with regard to gender

Explanation / Answer

here as we know that z score is measure of relative performance within a class

also z score =(X-mean)/std deviation

Mo Wang Verbal Reasoning z score =(158-150.05)/8.43=0.94

and Mo Wang Analytical Writing z score=(4.50-3.50)/0.87=1.15

as z score for  Analytical Writing is better ; Mo Wang done better in Analytical Writing.

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