The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure.   ​(a) What is the minimum UGPA that would still place a student in the top 10​% of​ UGPAs? ​(b) Between what two values does the middle 50​% of the UGPAs​ lie?               3.2642.52Grade point average μ=3.26 σ=0.16 x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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The undergraduate grade point averages​ (UGPA) of students taking an admissions test in a recent year can be approximated by a normal​ distribution, as shown in the figure.
 
​(a) What is the minimum UGPA that would still place a student in the top
10​%
of​ UGPAs?
​(b) Between what two values does the middle
50​%
of the UGPAs​ lie?
 
 
 
 
 
 
 
3.2642.52Grade point average
μ=3.26
σ=0.16
x
 
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  •  
  •  
A normal curve labeled mu = 3.26 and sigma = 0.16 is over a horizontal x-axis labeled Grade point average from 2.52 to 4 in increments of 0.37 and is centered on 3.26.
 
 
 
​(a) The minimum UGPA that would still place a student in the top
10​%
of UGPAs is
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