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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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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?
Transcribed Image Text: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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