3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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3.
A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows
the distribution of students in the electives.
Student Enrollment in Electives
65
64
Business
28
Art
22
14
16
Music
75
Four claims listed below are made about the distribution of students in the electives. For each claim,
determine whether it is true or false. Justify your decision with mathematical reasoning.
1. More students signed up for Music electives than for Business electives.
2.
3.
4.
More students are enrolled in two or more electives than are enrolled in only one elective.
More students are not enrolled in Music electives than are not enrolled in Art electives.
More students are in Art electives but not Business than are in Music but not Business.
Transcribed Image Text:3. A school requires all students to take an elective in Business, Art, and/or Music. The diagram below shows the distribution of students in the electives. Student Enrollment in Electives 65 64 Business 28 Art 22 14 16 Music 75 Four claims listed below are made about the distribution of students in the electives. For each claim, determine whether it is true or false. Justify your decision with mathematical reasoning. 1. More students signed up for Music electives than for Business electives. 2. 3. 4. More students are enrolled in two or more electives than are enrolled in only one elective. More students are not enrolled in Music electives than are not enrolled in Art electives. More students are in Art electives but not Business than are in Music but not Business.
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