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What can be concluded from the following details: Brian's Raw Score = 95 Mean Test Score = 80 Standard Deviation for the testing group =

What can be concluded from the following details:

Brian's Raw Score = 95

Mean Test Score = 80

Standard Deviation for the testing group = 3

Brian's Z Score = (95-80)/3 = 5

Percentile of students who scored between 60 and 80

z-score of 60 =60-80/3 = -6.67 probability of student scoring below 60 is 0 and scoring greater than 60 is 1 or 100%

z-score of 80 = 80-80/3 = 0 50% probability of a student scoring below 80 is 0.50 or 50%

Percentile of students scoring between 60 and 80 is 50% (100%-50%)

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