A university offers a Calculus class, a Sociology class, and a Spanish class. You are given data below about a group of students who have all taken at least one of the three classes. (i) Group 1 contains 187 students. Of these, 61 students have taken Calculus, 78 have taken Sociology, and 72 have taken Spanish. 15 have taken both Calculus and Sociology, 20 have taken both Calculus and Spanish, and 13 have taken both Sociology and Spanish. How many students in Calculus have taken all three classes? (ii) You are given the following data about Group 2. 32 students have taken Calculus, 22 have taken Sociology, and 16 have taken Spanish. 10 have taken both Calculus and Sociology, 8 have taken both Calculus and Span-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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A university offers a Calculus class, a Sociology class, and a Spanish class. You
are given data below about a group of students who have all taken at least one of
the three classes.
(i) Group 1 contains 187 students. Of these, 61 students have taken Calculus,
78 have taken Sociology, and 72 have taken Spanish. 15 have taken both
Calculus and Sociology, 20 have taken both Calculus and Spanish, and 13
have taken both Sociology and Spanish. How many students in Calculus
have taken all three classes?
(ii) You are given the following data about Group 2. 32 students have taken
Calculus, 22 have taken Sociology, and 16 have taken Spanish. 10 have
taken both Calculus and Sociology, 8 have taken both Calculus and Span-
Transcribed Image Text:A university offers a Calculus class, a Sociology class, and a Spanish class. You are given data below about a group of students who have all taken at least one of the three classes. (i) Group 1 contains 187 students. Of these, 61 students have taken Calculus, 78 have taken Sociology, and 72 have taken Spanish. 15 have taken both Calculus and Sociology, 20 have taken both Calculus and Spanish, and 13 have taken both Sociology and Spanish. How many students in Calculus have taken all three classes? (ii) You are given the following data about Group 2. 32 students have taken Calculus, 22 have taken Sociology, and 16 have taken Spanish. 10 have taken both Calculus and Sociology, 8 have taken both Calculus and Span-
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