Professor Brown and Professor Sides both teach Statistics at the same college. They each havetwo sections of the course, one in the morning and one in the evening. The table below gives the classaverage on Test #1 with the number of students in parentheses:Prof. BrownProf. Sidesclass average (# students)AM Section PM Section85 (10)82 (28)73 (28)70 (10)Prof. Brown Weighted Average: 7 =Prof. Sides Weighted Average: 7 =Σ(w-x)Σ(w.x)W(85-10) + (73-28)38(8228) + (70-10)38≈76≈79Note: Prof. Sides' weighted average benefitted from the large number of AM students.Question: Is it possible that 70% of all students are below average?

From given data we have Prof. Brown Weighted Average: 76 Prof. Sides Weighted Average: 79

Answered: Question: Is it possible that 70% of…

Math

Statistics

Question: Is it possible that 70% of all students are below average?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

100%

Professor Brown and Professor Sides both teach Statistics at the same college. They each have
two sections of the course, one in the morning and one in the evening. The table below gives the class
average on Test #1 with the number of students in parentheses:
Prof. Brown
Prof. Sides
class average (# students)
AM Section PM Section
85 (10)
82 (28)
73 (28)
70 (10)
Prof. Brown Weighted Average: 7 =
Prof. Sides Weighted Average: 7 =
Σ(w-x)
Σ(w.x)
W
(85-10) + (73-28)
38
(8228) + (70-10)
38
≈76
≈79
Note: Prof. Sides' weighted average benefitted from the large number of AM students.
Question: Is it possible that 70% of all students are below average?

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