Choosing a school for your child to can have a critical impact on that child\'s

Question

Choosing a school for your child to can have a critical impact on that child's future. The frequency polygons below reflect the Regents exam scores of 50 students who attended the Macy School (dashed line) and 50 students who attended the Coffin School (solid line) in Brooklyn. [The Regents exams are scored on a scale of 0-100 with 100 being the best possible score.] Based on the patterns you see in these two frequency polygons: Estimate the mean score at the Macy School. Regents Exam Scores 2005 30 25 20 15 10 Jared Coffin School 70 90 Score

Explanation / Answer

#1.
In order to find the mean for Macy school, we first find the sum of total scores using the frequency polygon

sum = 60*4 + 65*5 + 70*10 + 75*15 + 80*11 + 85*5 = 3695

mean = sum/50 = 3695/50 = 73.9

#2.
mean = 30, std. dev. = 5.5
n = 20

P(X < 18)
= P(z < (18 - 30)/(5.5/sqrt(20))
= P(z < -9.7573)
= 0.0000

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