A survey of 347 high school students asked students to describe their
politics as Liberal, Moderate or Conservative. The results are summarized by
gender with 27 out of 95 Liberals are males, out of 128 Moderates, 91 are
female and there are 93 Conservative females.
Part A: The conditional relative frequency of males is

Step-by-step explanation:

Conditional relative frequency is a frequency that is obtained in fraction that tells you what particular group has a particular feature.

In the questions above

Total number of high school students = 347

We have 3 groups based on their political tendencies

Liberal

Total number of Liberal students: 95

Total number of male Liberal Students = 27

Total number of female Liberal student = 95 - 27 = 68

Moderate

Total number of moderate students: 128

Total number of female moderate Students = 91

Total number of male moderate students is calculated as = 128 - 91

= 37

Conservative

Total number of conservative students: is not given in the question.

This is calculated as Total number of High school student - ( Total number of Liberal students + Total number of Moderate students)

347- (95+128) = 347- 223

= 124

Total number of female conservative Students= 93

Total number of male conservative students was not given in the question. Therefore it is calculated as = 124 -93 = 31

To determine the conditional relative frequency of males = Total number of high school male students in the school ÷ Total number of high school students in the school

Total number of male high school students is calculated as = Number of male Liberal students + Number of male Moderate students + Number of male Conservative students.

= 27 + 37 + 31

= 95 male high school students.

Hence the Conditional relative frequency of males = 95/347

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