Question

the partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. what is the relative frequency for males in the age group 60 - 69? a. \\( \frac { 1 } { 2 } \\) c. \\( \frac { 1 } { 4 } \\) b. \\( \frac { 13 } { 40 } \\) d. \\( \frac { 9 } { 40 } \\)

Explanation:

Step1: Calculate total number of residents

Total number of males \(=10 + 2+5=17\)
Total number of females \(=10 + 9+4 = 23\)
Total number of residents \(=17+23 = 40\)

Step2: Calculate relative frequency

Relative frequency for males in \(60 - 69\) age - group \(=\frac{\text{Number of males in }60 - 69}{\text{Total number of residents}}\)
Number of males in \(60 - 69\) is \(10\)
Relative frequency \(=\frac{10}{40}=\frac{1}{4}\)

Answer:

C. \(\frac{1}{4}\)